Physics · JEE Main, NEET

Capacitors

180 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

132MCQ48Numerical74With diagram
Start with question 1 See it move: Capacitors, dielectrics and RC circuits
  1. 1Two identical capacitors each of capacitance C=10 μFC = 10\,\mu\text{F} are connected in parallel and charged to 100 V100\,\text{V}. The total energy stored in the combination is (in J):JEE Main/Numerical/Medium
  2. 2The equivalent capacitance of three capacitors of 3 μF3\,\mu\text{F} each connected in series is:NEET/MCQ/Medium
  3. 3A parallel plate capacitor is charged to V0V_0 and battery is disconnected. A dielectric slab of constant KK and thickness d/2d/2 is inserted. New potential difference is:JEE Main/MCQ/Medium
  4. 4A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed vv. If xx is the separation between the plates at any instant, then the time rate of change of electrostatic energy of the capacitor is proportional to xαx^\alpha, where α\alpha is _____.JEE Main/MCQ/Medium/Capacitance
  5. 5Identify the correct statements :
    A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination.
    B. When a dielectric medium is placed between the charged plates of a capacitor, displacement of charges cannot occur due to insulation property of dielectric.
    C. Increasing of area of capacitor plate or decreasing of thickness of dielectric is an alternate method to increase the capacitance.
    D. For a point charge, concentric spherical shells centered at the location of the charge are equipotential surfaces.
    Choose the correct answer from the options given below :    JEE Main/MCQ/Medium/Capacitance
  6. 6The charge stored by the capacitor CC in the given circuit in the steady state is ____\_\_\_\_ μC\mu \mathrm{C}.
    JEE Main/MCQ/Medium/Capacitance/With diagram
  7. 7Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V, its capacitance is : (in pF)JEE Main/MCQ/Medium/Capacitance
  8. 8Two capacitors C1C_1 and C2C_2 are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are U1U_1 and U2U_2, respectively. Which of the given statements is true?
    JEE Main/MCQ/Medium/Capacitance/With diagram
  9. 9A parallel plate capacitor was made with two rectangular plates, each with a length of l=3 cml=3 \mathrm{~cm} and breath of b=1 cm\mathrm{b}=1 \mathrm{~cm}. The distance between the plates is 3μ m3 \mu \mathrm{~m}. Out of the following, which are the ways to increase the capacitance by a factor of 10 ?
    A.     l=30 cm, b=1 cm, d=1μ ml=30 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=1 \mu \mathrm{~m}
    B.     l=3 cm, b=1 cm, d=30μ ml=3 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=30 \mu \mathrm{~m}
    C.     l=6 cm, b=5 cm, d=3μ ml=6 \mathrm{~cm}, \mathrm{~b}=5 \mathrm{~cm}, \mathrm{~d}=3 \mu \mathrm{~m}
    D.     l=1 cm, b=1 cm, d=10μ ml=1 \mathrm{~cm}, \mathrm{~b}=1 \mathrm{~cm}, \mathrm{~d}=10 \mu \mathrm{~m}
    E.     l=5 cm, b=2 cm, d=1μ ml=5 \mathrm{~cm}, \mathrm{~b}=2 \mathrm{~cm}, \mathrm{~d}=1 \mu \mathrm{~m}
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Capacitance
  10. 10In the network shown below, the charge accumulated in the capacitor in steady state will be:
    JEE Main/MCQ/Medium/Capacitance/With diagram
  11. 11A capacitor of capacitance CC is charged to a potential VV. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is:JEE Main/MCQ/Medium/Capacitance
  12. 12Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
    Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
    Reason R : Capacitance of metallic spheres depend on the radii of spheres.
    In the light of the above statements, choose the correct answer from the options given below.    JEE Main/MCQ/Medium/Capacitance
  13. 13Two identical thin metal plates has charge q1{q}_{1} and q2{q}_{2} respectively such that q1>q2{q}_{1}\gt {q}_{2}. The plates were brought close to each other to form a parallel plate capacitor of capacitance CC. The potential difference between them is :JEE Main/MCQ/Medium/Capacitance
  14. 14Capacitance of an isolated conducting sphere of radius R1{R}_{1} becomes nn times when it is enclosed by a concentric conducting sphere of radius R2{R}_{2} connected to earth. The ratio of their radii (R2R1)\left(\dfrac{{R}_{2}}{{R}_{1}}\right) is:JEE Main/MCQ/Medium/Capacitance
  15. 15The displacement current of 4.425μA4.425\mu A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106Vs−1{10}^{6}V{s}^{-1}. The area of each plate of the capacitor is 40cm240{cm}^{2}. The distance between each plate of the capacitor is x×10−3mx\times {10}^{-3}m. The value of xx is ,
    (Permittivity of free space,     ϵ0=8.85×10−12C2N−1m−2{\epsilon }_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}) _______    JEE Main/Numerical/Medium/Capacitance
  16. 16A capacitor is connected to a 20V20V battery through a resistance of 10Ω.10\Omega . It is found that the potential difference across the capacitor rises to 2V2V in 1μs.1\mu s. The capacitance of the capacitor is ________\mu F.
    Given In     (109)=0.105\left(\dfrac{10}{9}\right)=0.105    JEE Main/MCQ/Medium/Capacitance
  17. 17A parallel plate capacitor has 1μF1\mu F capacitance. One of its two plates is given +2μC+2\mu C charge and the other plate, +4μC+4\mu C charge. The potential difference developed across the capacitor is:JEE Main/MCQ/Medium/Capacitance
  18. 18To establish an instantaneous current of 2 A2 \mathrm{~A} through a 1μF1 \mu \mathrm{F} capacitor ; the potential difference across the capacitor plates should be changed at the rate of:JEE Main/MCQ/Medium/Capacitance
  19. 19This question has Statement 1 and Statement 2 . Of the four choices given after the Statements, choose the one that best describes the two Statements.
    Statement 1: It is not possible to make a sphere of capacity 1 farad using a conducting material.
    Statement 2: It is possible for earth as its radius is     6.4×106 m6.4 \times 10^6 \mathrm{~m}.    JEE Main/MCQ/Medium/Capacitance
  20. 20A resistor 'R' and 2μF2 \mu \mathrm{F} capacitor in series is connected through a switch to 200 V200 \mathrm{~V} direct supply. Across the capacitor is a neon bulb that lights up at 120 V120 \mathrm{~V}. Calculate the value of RR to make the bulb light up 5 s5 \mathrm{~s} after the switch has been closed. (log⁡102.5=0.4)\left(\log _{10} 2.5=0.4\right)JEE Main/MCQ/Medium/Capacitance
  21. 21Capacitance (in FF ) of a spherical conductor with radius 1 m1 \mathrm{~m} isJEE Main/MCQ/Medium/Capacitance
  22. 22A sphere of capacitance 100100 pF is charged to a potential of 100100 V. Another identical uncharged metal sphere is brought in contact with the charged sphere, then the change in the total energy stored on these spheres, when they touch is α×10−7\alpha \times 10^{-7} J. The value of α\alpha is __________. (combined capacitance of spheres is 200200 pF)JEE Main/MCQ/Medium/Grouping of capacitors
  23. 23From the circuit given below, the capacitance between terminals AA and BB shown in the circuit is ______ μ\muF.
    (take     C1=C2=C3=1C_1=C_2=C_3=1 μ\muF and C4=2C_4=2 μ\muF.)
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  24. 24A capacitor PP with capacitance 10×10−6 F10 \times 10^{-6} \mathrm{~F} is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor PP is connected across another capacitor QQ with capacitance 20×10−6 F20 \times 10^{-6} \mathrm{~F}. The charge on capacitor QQ when equilibrium is established will be α×10−5C\alpha \times 10^{-5} C (assume capacitor QQ does not have any charge initially), the value of α\alpha is ____\_\_\_\_。JEE Main/Numerical/Medium/Grouping of capacitors
  25. 25
    Space between the plates of a parallel plate capacitor of plate area     4 cm24 \mathrm{~cm}^2 and separation of (d) 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5 pF is connected in parallel with it. The effective capacitance of this combination is ________ pF. (\left(\right. Given ε0=8.85×10−12 F/m)\left.\varepsilon_0=8.85 \times 10^{-12} \mathrm{~F} / \mathrm{m}\right)    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  26. 26Three parallel plate capacitors C1,C2\mathrm{C}_1, \mathrm{C}_2 and C3\mathrm{C}_3 each of capacitance 5μ F5 \mu \mathrm{~F} are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of C1C_1 capacitor is filled with a dielectric medium having dielectric constant of 4, is :
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  27. 27Four capacitor each of capacitance 16μ F16 \mu \mathrm{~F} are connected as shown in the figure. The capacitance between points A and B is : ______ (in μF\mu \mathrm{F}).
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  28. 28A parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constant ε1\varepsilon_1 and ε2\varepsilon_2, as shown in figures. The distance between the plates is d and area of each plate is A. If capacitance in first configuration and second configuration are C1C_1 and C2C_2 respectively, then C1C2\frac{C_1}{C_2} is :

    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  29. 29At steady state the charge on the capacitor, as shown in the circuit below, is \qquad μC\mu \mathrm{C}.
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  30. 30A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is A3\frac{A}{3} and the height is dd, the capacitance of the arrangement is :
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  31. 31A galvanometer (G)\left(G\right) of 2Ω2\Omega resistance is connected in the given circuit. The ratio of charge stored in C1{C}_{1} and C2{C}_{2} is:JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  32. 32In the given figure the total charge stored in the combination of capacitors is 100µC100µC. The value of ‘xx’ is ______________.
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  33. 33In the given circuit.C1=2μF,C2=0.2μF,C3=2μF,C4=4μF,C5={C}_{1}=2\mu F,{C}_{2}=0.2\mu F,{C}_{3}=2\mu F,{C}_{4}=4\mu F,{C}_{5}=
    2μF,C6=2μF2\mu F,{C}_{6}=2\mu F. The charge stored on capacitor C4{C}_{4} is ______ μC\mu C.
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  34. 34The equivalent capacitance of the combination shown is
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  35. 35As shown in the figure, two parallel plate capacitors having equal plate area of 200cm2200{cm}^{2} are joined in such a way that a≠ba\neq b. The equivalent capacitance of the combination is xϵ0Fx{\epsilon }_{0}F. The value of xx is _____.
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  36. 36The total charge on the system of capacitance C1=1μF,C2=2μF,C3=4μF{C}_{1}=1\mu F,{C}_{2}=2\mu F,{C}_{3}=4\mu F and C4=3μF{C}_{4}=3\mu F connected in parallel is
    (Assume a battery of     20V20V is connected to the combination)    JEE Main/MCQ/Medium/Grouping of capacitors
  37. 37A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length bb, as shown in the figure. The capacitance of the arrangement is x15ϵ0Ab\dfrac{x}{15}\dfrac{{\epsilon }_{0}A}{b}, The value of xx is _____ .
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  38. 38The charge on capacitor of capacitance 15μF15\mu F in the figure given below is
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  39. 39The equivalent capacitance between points AA and BB in below shown figure will be _____ μF\mu F.
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  40. 40Three capacitors C1=2μF,C2=6μF{C}_{1}=2\mu F,{C}_{2}=6\mu F and C3=12μF{C}_{3}=12\mu F are connected as shown in the figure. Find the ratio of the charges on capacitors C1,C2{C}_{1},{C}_{2} and C3{C}_{3} respectively.
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  41. 41Calculate the amount of charge on capacitor of 4μF.4\mu F. The internal resistance of battery is 1Ω:1\Omega :
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  42. 42Two capacitors of capacities 2C2C and CC are joined in parallel and charged up to potential V.V. The battery is removed and the capacitor of capacity CC is filled completely with a medium of dielectric constant K.K. The potential difference across the capacitors will now be:JEE Main/MCQ/Medium/Grouping of capacitors
  43. 43Four identical rectangular plates with length, l=2cml=2cm and breadth, b=32cmb=\dfrac{3}{2}cm are arranged as shown in figure. The equivalent capacitance between AA and CC is xϵ0d.\dfrac{x{\epsilon }_{0}}{d}. The value of xx is _______.
    (Round off to the Nearest Integer)
    JEE Main/Numerical/Medium/Grouping of capacitors/With diagram
  44. 44Consider the combination of two capacitors C1{C}_{1} and C2{C}_{2}, with C2>C1{C}_{2}\gt {C}_{1}, when connected in parallel, the equivalent capacitance is 1010 times the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors, C2C1\dfrac{{C}_{2}}{{C}_{1}}.JEE Main/MCQ/Medium/Grouping of capacitors
  45. 45Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be:JEE Main/MCQ/Medium/Grouping of capacitors
  46. 46In the circuit shown, charge on the 5μF5\mu F capacitor is :
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  47. 47Two capacitors of capacitances CC and 2C2C are charged to potential differences VV and 2V2V, respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the other. The final energy of this configuration is :JEE Main/MCQ/Medium/Grouping of capacitors
  48. 48In the circuit shown in the figure, the total charge is 750μC750\mu C and the voltage across capacitor C2{C}_{2} is 20V20V. Then the charge on capacitor C2{C}_{2} is :
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  49. 49A 10μF10\mu F capacitor is fully charged to a potential difference of 50V50V After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes 20V20V. The capacitance of the second capacitor is :JEE Main/MCQ/Medium/Grouping of capacitors
  50. 50Effective capacitance of parallel combination of two capacitors C1{C}_{1} and C2{C}_{2} is 10μF.10\mu F. When these capacitors are individually connected to a voltage source of 1V,1V, the energy stored in the capacitor C2{C}_{2} is 44 times that of C1.{C}_{1}. If these capacitors are connected in series, their effective capacitance will be:JEE Main/MCQ/Medium/Grouping of capacitors
  51. 51In the given circuit, the charge on 4μF4 \mu F capacitor will be:
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  52. 52Figure shows charge (q)(q) versus voltage (V)(V) graph for series and parallel combination of two given capacitors. The capacitances are:
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  53. 53In the circuit shown, find CC if the effective capacitance of the whole circuit is to be 0.5μF.0.5\mu F. All values in the circuit are in μF.\mu F.

    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  54. 54Seven capacitors, each of capacitance 2μF,2 \mu \mathrm{F}, are to be connected in a configuration to obtain an effective capacitance of (613)μF.\left(\frac{6}{13}\right) \mu \mathrm{F} . Which of the combinations, shown in figures below, will achieve the desired value?JEE Main/MCQ/Medium/Grouping of capacitors
  55. 55In the figure shown below, the charge on the left plate of the 10F capacitor is -30C. The charge on the right plate of the 6F capacitor is:

    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  56. 56A capacitor C1\mathrm{C}_1 is charged up to a voltage V=\mathrm{V}= 60 V60 \mathrm{~V} by connecting it to battery B\mathrm{B} through switch (1), Now C1\mathrm{C}_1 is disconnected from battery and connected to a circuit consisting of two uncharged capacitors C2=3.0μF\mathrm{C}_2=3.0 \mu \mathrm{F} and C3=6.0μF\mathrm{C}_3=6.0 \mu \mathrm{F} through a switch (2)(2) as shown in the figure. The sum of final charges on C2\mathrm{C}_2 and C3\mathrm{C}_3 is:
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  57. 57The equivalent capacitance between AA and BB in the circuit is given below.
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  58. 58The equivalent capacitance between AA and BB in the circuit given below is:
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  59. 59A capacitance of 2μF2\mu F is required in an electrical circuit across a potential difference of 1.0kV1\text{.}0kV. A large number of 1μF1\mu F capacitors are available which can withstand a potential difference of not more than 300V300V. The minimum number of capacitors required to achieve this is:JEE Main/MCQ/Medium/Grouping of capacitors
  60. 60Figure shows a network of capacitors where the number indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1μF1\mu F is :

    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  61. 61Three capacitors each of 4μF4\mu F are to be connected in such a way that the effective capacitance is 6μF6\mu F. This can be done by connecting themJEE Main/MCQ/Medium/Grouping of capacitors
  62. 62A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charges on the 4μF4\mu F and 9μF9\mu F capacitors), at a point distant 30 m from it, would equal:
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  63. 63In the figure is shown a system of four capacitors connected across a 10V10V battery. The charge that will flow from switch S when it is closed is:
    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  64. 64Three capacitances, each of 3 μF\mu \text{F}, are provided. These cannot be combined to provide the resultant capacitance of :JEE Main/MCQ/Medium/Grouping of capacitors
  65. 65Two capacitors C1{C}_{1} and C2{C}_{2} are charged to 120 V\text{120 V} and 200 V\text{200 V} respectively. It is found that by connecting them together the potential on each one can be made zero. Then:JEE Main/MCQ/Medium/Grouping of capacitors
  66. 66Two circuits (a) and (b) have charged capacitors of capacitance C, 2C and 3C with open switches. Charges on each of the capacitor are as shown in the figures. On closing the switches



    Circuit (a) Circuit (b)    JEE Main/MCQ/Medium/Grouping of capacitors/With diagram
  67. 67A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C then the resultant capacitance isJEE Main/MCQ/Medium/Grouping of capacitors
  68. 68A parallel plate capacitor is having separation between plates 0.8850.885 mm. It has a capacitance of 1 μ1\,\muF when the space between the plates is filled with an insulating material of resistivity 1×1013 Ω1\times 10^{13}\,\Omegam and resistance 17.7×1014 Ω17.7\times 10^{14}\,\Omega. Relative permittivity of the insulating material is α×107\alpha\times 10^7. The value of α\alpha is ________. (Take permittivity of free space =8.85×10−12=8.85\times 10^{-12} F/m)JEE Main/Numerical/Medium/Capacitors with Dielectric
  69. 69A parallel plate air capacitor has a capacitance CC. When it is half filled as show in figure with a dielectric constant K=5K = 5, the percentage increase in the capacitance is _______.
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  70. 70Three parallel plate capacitors each with area AA and separation dd are filled with two dielectric (k1k_{1} and k2k_{2}) in the following fashion. Which of the following is true? (k1>k2)\left(k_{1}\gt k_{2}\right) JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  71. 71A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws 25%25 \% more charge from the battery. The dielectric constant of mica is ____\_\_\_\_.JEE Main/MCQ/Medium/Capacitors with Dielectric
  72. 72The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric slabs of dielectric constants K1=2,K2=3K_{1}=2, K_{2}=3 and K3=5K_{3}=5 (as shown in figure). If new capacitance is n3C\frac{n}{3} C then the value of nn is ____\_\_\_\_.
    JEE Main/Numerical/Medium/Capacitors with Dielectric/With diagram
  73. 73A parallel plate capacitor has capacitance CC, when there is vacuum within the parallel plates. A sheet having thickness (13)rd\left(\frac{1}{3}\right)^{\mathrm{rd}} of the separation between the plates and relative permittivity KK is introduced between the plates. The new capacitance of the system is :JEE Main/MCQ/Medium/Capacitors with Dielectric
  74. 74A parallel plate capacitor has charge 5×10−6C5 \times 10^{-6} \mathrm{C}. A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is 4×10−6C4 \times 10^{-6} \mathrm{C} then the dielectric constant of the slab is ________.JEE Main/Numerical/Medium/Capacitors with Dielectric
  75. 75A parallel-plate capacitor of capacitance 40μ F40 \mu \mathrm{~F} is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant K=2\mathrm{K}=2. Due to the introduction of dielectric material, the extra charge and the change in the electrostatic energy in the capacitor, respectively, areJEE Main/MCQ/Medium/Capacitors with Dielectric
  76. 76A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The glow of the bulb:JEE Main/MCQ/Medium/Capacitors with Dielectric
  77. 77A capacitor has air as dielectric medium and two conducting plates of area 12 cm212 \mathrm{~cm}^2 and they are 0.6 cm0.6 \mathrm{~cm} apart. When a slab of dielectric having area 12 cm212 \mathrm{~cm}^2 and 0.6 cm0.6 \mathrm{~cm} thickness is inserted between the plates, one of the conducting plates has to be moved by 0.2 cm0.2 \mathrm{~cm} to keep the capacitance same as in previous case. The dielectric constant of the slab is : (Given ϵ0=8.834×10−12 F/m\epsilon_0=8.834 \times 10^{-12} \mathrm{~F} / \mathrm{m} )JEE Main/MCQ/Medium/Capacitors with Dielectric
  78. 78A capacitor of 10μF10 \mu \mathrm{F} capacitance whose plates are separated by 10 mm10 \mathrm{~mm} through air and each plate has area 4 cm24 \mathrm{~cm}^2 is now filled equally with two dielectric media of K1=2, K2=3\mathrm{K}_1=2, \mathrm{~K}_2=3 respectively as shown in figure. If new force between the plates is 8 N8 \mathrm{~N}. The supply voltage is _________ ×10−4 V\times 10^{-4} \mathrm{~V}.

    (we modified language of question to make it correct)    JEE Main/Numerical/Medium/Capacitors with Dielectric/With diagram
  79. 79A parallel plate capacitor of capacitance 12.5pF12.5 \mathrm{pF} is charged by a battery connected between its plates to potential difference of 12.0 V12.0 \mathrm{~V}. The battery is now disconnected and a dielectric slab (ϵr=6)\left(\epsilon_{\mathrm{r}}=6\right) is inserted between the plates. The change in its potential energy after inserting the dielectric slab is _____ 10−12 J10^{-12} \mathrm{~J}.JEE Main/Numerical/Medium/Capacitors with Dielectric
  80. 80A parallel plate capacitor with plate separation 5mm5mm is charged up by a battery. It is found that on introducing a dielectric sheet of thickness 2mm2mm, while keeping the battery connections intact, the capacitor draws 2525% more charge from the battery than before. The dielectric constant of the sheet is ____.JEE Main/Numerical/Medium/Capacitors with Dielectric
  81. 81The distance between two plates of a capacitor is dd and its capacitance is C1{C}_{1}, when air is the medium between the plates. If a metal sheet of thickness 2d3\dfrac{2d}{3} and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes C2{C}_{2} . The ratio C2C1\dfrac{{C}_{2}}{{C}_{1}} isJEE Main/MCQ/Medium/Capacitors with Dielectric
  82. 82A parallel plate capacitor with plate area AA and plate separation dd is filled with a dielectric material of dielectric constant K=4.K=4. The thickness of the dielectric material is x,x, where x<d.x\lt d.
    Let     C1{C}_{1} and C2{C}_{2} be the capacitance of the system for x=13dx=\dfrac{1}{3}d and x=2d3,x=\dfrac{2d}{3}, respectively. If C1=2μF{C}_{1}=2\mu F, the value of C2{C}_{2} is _____ μF.\mu F.    JEE Main/Numerical/Medium/Capacitors with Dielectric/With diagram
  83. 83A capacitor has capacitance 5µF5µF when its parallel plates are separated by air medium of thickness dd. A slab of material of dielectric constant 1.51.5 having area equal to that of plates but thickness d2\dfrac{d}{2} is inserted between the plates. Capacitance of the capacitor in the presence of slab will be ______ µFµF.JEE Main/Numerical/Medium/Capacitors with Dielectric
  84. 84A parallel plate capacitor has plate area 40cm240{cm}^{2} and plates separation 2mm2mm. The space between the plates is filled with a dielectric medium of a thickness 1mm1mm and dielectric constant 55. The capacitance of the system is:JEE Main/MCQ/Medium/Capacitors with Dielectric
  85. 85A parallel plate capacitor with air between the plate has a capacitance of 15pF15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.53.5. Then the capacitance becomes x4pF\dfrac{x}{4}pF. The value of xx is____.JEE Main/Numerical/Medium/Capacitors with Dielectric
  86. 86A slab of dielectric constant KK has the same crosssectional area as the plates of a parallel plate capacitor and thickness 34d\dfrac{3}{4}d, where dd is the separation of the plates. The capacitance of the capacitor when the slab is inserted between the plates will be :
    (Given     C0={C}_{0}= capacitance of capacitor with air as medium between plates.)    JEE Main/MCQ/Medium/Capacitors with Dielectric
  87. 87Two capacitors, each having capacitance 40μF40\mu F are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant KK such that the equivalence capacitance of the system became 24μF24\mu F. The value of KK will be :JEE Main/MCQ/Medium/Capacitors with Dielectric
  88. 88A parallel plate capacitor with width 4cm4cm, length 8cm8cm and separation between the plates of 4mm4mm is connected to a battery of 20V20V. A dielectric slab of dielectric constant 55 having length 1cm1cm, width 4cm4cm and thickness 4mm4mm is inserted between the plates of parallel plate capacitor. The electrostatic energy of this system will be _____ ϵ0J{ϵ}_{0}J. (Where ϵ0{ϵ}_{0} is the permittivity of free space)JEE Main/Numerical/Medium/Capacitors with Dielectric
  89. 89A source of potential difference VV is connected to the combination of two identical capacitors as shown in the figure. When key KK is closed, the total energy stored across the combination is E1{E}_{1}. Now key KK is opened and dielectric of dielectric constant 55 is introduced between the plates of the capacitors. The total energy stored across the combination is now E2{E}_{2}. The ratio E1E2\dfrac{{E}_{1}}{{E}_{2}} will be
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  90. 90A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t1{t}_{1} and t2{t}_{2}) as shown in figure. The two different dielectric material are separated by a conducting foil FF. The voltage of the conducting foil is _____ VV.
    JEE Main/Numerical/Medium/Capacitors with Dielectric/With diagram
  91. 91Two parallel plate capacitors of capacity CC and 3C3C are connected in parallel combination and charged to a potential difference 18V18V. The battery is then disconnected and the space between the plates of the capacitor of capacity CC is completely filled with a material of dielectric constant 99. The final potential difference across the combination of capacitors will be _____ VV.JEE Main/Numerical/Medium/Capacitors with Dielectric
  92. 92A parallel plate capacitor with plate area AA and plate separation d=2md=2m has a capacitance of 4μF4\mu F. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K=3K=3 (as shown in figure) will be
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  93. 93Two metallic plates form a parallel plate capacitor. The distance between the plate is 'dd'. A metal sheet of thickness d2\dfrac{d}{2} and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor?JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  94. 94A parallel plate capacitor is formed by two plates each of area 30πcm230\pi {cm}^{2} separated by 1mm1mm. A material of dielectric strength 3.6×107Vm−13.6\times {10}^{7}V{m}^{-1} is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7×10−6C7\times {10}^{-6}C, the value of dielectric constant of the material is :
    [Use     14πϵo=9×109Nm2C−2\dfrac{1}{4\pi {\epsilon }_{o}}=9\times {10}^{9}N{m}^{2}{C}^{-2}]    JEE Main/MCQ/Medium/Capacitors with Dielectric
  95. 95A parallel-plate capacitor with plate area AA has separation dd between the plates. Two dielectric slabs of dielectric constant K1{K}_{1} and K2{K}_{2} of same area A2\dfrac{A}{2} and thickness d2\dfrac{d}{2} are inserted in the space between the plates. The capacitance of the capacitor will be given by :
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  96. 96The material filled between the plates of a parallel plate capacitor has resistivity 200Ωm200\Omega m. The value of capacitance of the capacitor is 2pF2pF. If a potential difference of 40V40V is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is: (given the value of relative permittivity of material is 5050)JEE Main/MCQ/Medium/Capacitors with Dielectric
  97. 97In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be: (Given the area of the plate =A=A )
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  98. 98If qf{q}_{f} is the free charge on the capacitor plates and qb{q}_{b} is the bound charge on the dielectric slab of dielectric constant kk placed between the capacitor plates, then bound charge qb{q}_{b} can be expressed as :JEE Main/MCQ/Medium/Capacitors with Dielectric
  99. 99A parallel plate capacitor with plate area 'AA' and distance of separation 'dd' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as:
    ϵ(x)=ϵ0+kx\epsilon \left(x\right)={\epsilon }_{0}+kx, for (0<x≤d2)\left(0\lt x\leq \dfrac{d}{2}\right)
    ϵ(x)=ϵ0+k(d−x)\epsilon \left(x\right)={\epsilon }_{0}+k\left(d-x\right), for (d2≤x≤d)\left(\dfrac{d}{2}\leq x\leq d\right)    JEE Main/MCQ/Medium/Capacitors with Dielectric
  100. 100A parallel plate capacitor has plate area 100m2100{m}^{2} and plate separation of 10m.10m. The space between the plates is filled up to a thickness 5m5m with a material of dielectric constant of 10.10. The resultant capacitance of the system is xpF.xpF. The value of ϵ0=8.85×10−12Fm−1{\epsilon }_{0}=8.85\times {10}^{-12}F{m}^{-1}. The value of xx to the nearest integer is ______.JEE Main/Numerical/Medium/Capacitors with Dielectric
  101. 101In a parallel plate capacitor set up, the plate area of capacitor is 2m22{m}^{2} and the plates are separated by 1m1m. If the space between the plates are filled with a dielectric material of thickness 0.5m0.5m and are 2m22{m}^{2} (see figure) the capacitance of the set-up will be ϵ0{\epsilon }_{0} ________.
    (Dielectric constant of the material     =3.2=3.2)
    (Round off to the Nearest Integer)
    JEE Main/Numerical/Medium/Capacitors with Dielectric/With diagram
  102. 102For changing the capacitance of a given paralle plate capacitor, a dielectric material of dielectric constant KK is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is 34d\dfrac{3}{4}d, where dd is the separation between the plates of parallel plate capacitor. The new capacitance C′{C}^{'} in terms of original capacitance C0{C}_{0} is given by the following relation :JEE Main/MCQ/Medium/Capacitors with Dielectric
  103. 103A parallel plate capacitor has plate of length ll, width ww and separation of plates is dd. It is connected to a battery of emf VV. A dielectric slab of the same thickness dd and of dielectric constant K=4K=4 is being inserted between the plates of the capacitor. At what length of the slab inside plates, will the energy stored in the capacitor be two times the initial energy stored?JEE Main/MCQ/Medium/Capacitors with Dielectric
  104. 104A capacitor is made of two square plates each of side ‘ aa ’ making a very small angle α\alpha between them, as shown in figure. The capacitance will be close to:
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  105. 105
    A parallel plate capacitor has plates of area A separated by distance     dd between them. It is filled with a dielectric which has a dielectric constant that varies as K(x)=K0(1+αx)K\left(x\right)={K}_{0}\left(1+\alpha x\right) where xx is the distance measured from one of the plates. If (αd)<<1,\left(\alpha d\right)\lt \lt 1, the total capacitance of the system is best given by the expression:    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  106. 106Two identical parallel plate capacitors, of capacitance CC each, have plates of area A,A, separated by a distance dd . The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants K1,K2{K}_{1},{K}_{2} and K3{K}_{3} . The first capaciitor is filled as shown in figure I,I, and the second one is filled as shown in figure II.II.
    If these two modified capacitors are charged by the same potential     VV , the ratio of the energy stored in the two, would be (E1({E}_{1} refers to capacitor (I)\left(I\right) and E2{E}_{2} to capacitor (II)(II) ):
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  107. 107Voltage rating of a parallel plate capacitor is 500V.500V. Its dielectric can withstand a maximum electric field of 106V/m.{10}^{6}V/m. The plate area is 10−4m2{10}^{-4}{m}^{2} . What is the dielectric constant if the capacitance is 15pF15pF ?
    (givenϵ0=8.86×10−12C2/Nm2)\left(given{ϵ}_{0}=8.86\times {10}^{-12}{C}^{2}/N{m}^{2}\right)    JEE Main/MCQ/Medium/Capacitors with Dielectric
  108. 108A parallel plate capacitor is of area 6cm26c{m}^{2} and a separation 3mm.3mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constant K1=10,K2=12{K}_{1}=10,{K}_{2}=12 and K3=14.{K}_{3}=14. The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be:

    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  109. 109A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K1,K2,K3,K4{K}_{1},{K}_{2},{K}_{3},{K}_{4} arranged as shown in the figure. The effective dielectric constant KK will be:

    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  110. 110A parallel plate capacitor is made of two square plates of side a,a, separated by a distance d(d≪a).d\left(d≪a\right). The lower triangular portion filled with a dielectric of dielectric constant K,K, as shown in the figure. Capacitance of this capacitor is:

    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  111. 111A parallel plate capacitor of capacitance 90pF90pF is connected to a battery of EMF 20V20V. If a dielectric material of dielectric constant K=53K=\dfrac{5}{3} is inserted between the plates, the magnitude of the induced charge will be:JEE Main/MCQ/Medium/Capacitors with Dielectric
  112. 112A combination of parallel plate capacitors is maintained at a certain potential difference.



    When a     3mm3mm thick slab is introduced between all the plates, in order to maintain the same potential difference, the distance between the plates is increased by 2.4mm2.4mm. Find the dielectric constant of the slab.    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  113. 113The gap between the plates of a parallel plate capacitor of area AA and distance between plates dd, is filled with a dielectric whose relative permittivity varies linearly from ϵ1{ϵ}_{1} at one plate to ϵ2{ϵ}_{2} at the other. The capacitance of the capacitor isJEE Main/MCQ/Medium/Capacitors with Dielectric
  114. 114The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation:
    K(x)=Ko+λx(λ=a constant )\mathrm{K}(\mathrm{x})=\mathrm{K}_{\mathrm{o}}+\lambda \mathrm{x}(\lambda=\mathrm{a} \text { constant })
    The capacitance     C\mathrm{C}, of the capacitor, would be related to its vacuum capacitance Co\mathrm{C}_{\mathrm{o}} for the relation :    JEE Main/MCQ/Medium/Capacitors with Dielectric
  115. 115A parallel plate capacitor is made of two plates of length 1 , width ww and separated by distance dd. A dielectric slab (dielectric constant K\mathrm{K} ) that fits exactly between the plates is held near the edge of the plates. It is pulled into the capacitor by a force F=−∂U∂x\mathrm{F}=-\frac{\partial \mathrm{U}}{\partial \mathrm{x}} where U\mathrm{U} is the energy of the capacitor when dielectric is inside the capacitor up to distance xx (See figure). If the charge on the capacitor is Q then the force on the dielectric when it is near the edge is:
    JEE Main/MCQ/Medium/Capacitors with Dielectric/With diagram
  116. 116A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3×104V/m3\times 1{0}^{4}\text{V/m}, the charge density of the positive plate will be close to :JEE Main/MCQ/Medium/Capacitors with Dielectric
  117. 117A parallel plate capacitor having a separation between the plates d\mathrm{d}, plate area A\mathrm{A} and material with dielectric constant K\mathrm{K} has capacitance C0\mathrm{C}_0. Now one-third of the material is replaced by another material with dielectric constant 2 K2 \mathrm{~K}, so that effectively there are two capacitors one with area 13 A\frac{1}{3} \mathrm{~A}, dielectric constant 2 K2 \mathrm{~K} and another with area 23 A\frac{2}{3} \mathrm{~A} and dielectric constant K\mathrm{K}. If the capacitance of this new capacitor is C\mathrm{C} then CC0\frac{\mathrm{C}}{\mathrm{C}_0} isJEE Main/MCQ/Medium/Capacitors with Dielectric
  118. 118The capacitor of an oscillatory circuit is enclosed in a container. When the container is evacuated, the resonance frequency of the circuit is 10kHz10 \mathrm{kHz}. When the container is filled with a gas, the resonance frequency changes by 50 Hz50 \mathrm{~Hz}. The dielectric constant of the gas isJEE Main/MCQ/Medium/Capacitors with Dielectric
  119. 119A parallel plate capacitor with air between the plates has a capacitance of 9pF9 \mathrm{pF}. The separation between its plates is ' dd '. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k1=3k_1=3 and thickness d3\frac{d}{3} while the other one has dielectric constant k2=6\mathrm{k}_2=6 and thickness 2 d3\frac{2 \mathrm{~d}}{3}. Capacitance of the capacitor is nowJEE Main/MCQ/Medium/Capacitors with Dielectric
  120. 120A parallel plate condenser with a dielectric of dielectric constant K\mathrm{K} between the plates has a capacity C\mathrm{C} and is charged to a potential  V volts\mathrm{~V ~volts}. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process isJEE Main/MCQ/Medium/Capacitors with Dielectric
  121. 121A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitorJEE Main/MCQ/Medium/Capacitors with Dielectric
  122. 122The dimensional formula of 12ϵ0E2\dfrac{1}{2}\epsilon_0 E^2 (ϵ0\epsilon_0 = permittivity of vacuum and EE = electric field) is MaLbTcM^a L^b T^c. The value of 2a−b+c=2a - b + c = _______.JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  123. 123A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference between the plates is 7×108 V/s7 \times 10^8 \mathrm{~V} / \mathrm{s} then the integer value of the distance between the parallel plates is (\left(\right. Take, ϵ0=9×10−12 F m,π=227)\left.\epsilon_0=9 \times 10^{-12} \frac{\mathrm{~F}}{\mathrm{~m}}, \pi=\frac{22}{7}\right) ________ μm\mu \mathrm{m}.JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  124. 124A parallel plate capacitor of capacitance 1μ F1 \mu \mathrm{~F} is charged to a potential difference of 20 V . The distance between plates is 1μ m1 \mu \mathrm{~m}. The energy density between plates of capacitor is.JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  125. 125Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If EE is the electric field and ε0\varepsilon_0 is the permittivity of free space between the plates, then potential energy stored in the capacitor isJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  126. 126A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance 2.5μ F2.5 \mu \mathrm{~F}. The dielectric constant of the medium between the capacitor plates is 1 . It produces an instantaneous displacement current of 0.25 mA in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be _____ Vs−1\mathrm{Vs}^{-1}.JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  127. 127Three capacitors of capacitances 25μF,30μF25 \mu \mathrm{F}, 30 \mu \mathrm{F} and 45μF45 \mu \mathrm{F} are connected in parallel to a supply of 100 V100 \mathrm{~V}. Energy stored in the above combination is E. When these capacitors are connected in series to the same supply, the stored energy is 9xE\frac{9}{x} \mathrm{E}. The value of xx is _____.JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  128. 128A capacitor of capacitance CC and potential VV has energy E.E. It is connected to another capacitor of capacitance 2C2C and potential 2V2V. Then the loss of energy is x3E\dfrac{x}{3}E, where xx is _______.JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  129. 129In the circuit shown, the energy stored in the capacitor is nμJn\mu J. The value of nn is _____.JEE Main/Numerical/Medium/Force and Energy stored in capacitor/With diagram
  130. 130The electric field in an electromagnetic wave is given as
    E⃗=20sin⁡ω(t−xc)j⃗NC−1\vec{E}=20\sin \omega \left(t-\dfrac{x}{c}\right)\vec{j}N{C}^{-1}, where ω\omega and cc are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of 5×10−4m35\times {10}^{-4}{m}^{3} will be
    (Given     ϵ0=8.85×10−12C2N−1m−2{\epsilon }_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2})    JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  131. 131A parallel plate capacitor filled with a medium of dielectric constant 1010, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 1515. Then the energy of capacitor willJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  132. 132A force of 10N10N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be.JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  133. 133If the charge on a capacitor is increased by 2C2C, the energy stored in it increases by 4444%. The original charge on the capacitor is (in CC)JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  134. 134A parallel plate capacitor of capacitance 200μF200\mu F is connected to a battery of 200V.200V. A dielectric slab of dielectric constant 22 is now inserted into the space between plates of capacitor while the battery remain connected. The change in the electrostatic energy in the capacitor will be __________ J.J.JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  135. 135A parallel plate capacitor whose capacitance CC is 14pF14pF is charged by a battery to a potential difference V=12VV=12V between its plates. The charging battery is now disconnected and a porcelain plate with k=7k=7 is inserted between the plates, then the plate would oscillate back and forth between the plates with a constant mechanical energy of _______ pJ.pJ.
    (Assume no friction)    JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  136. 136Suppose that intensity of a laser is (315π)Wm−2.\left(\dfrac{315}{\pi }\right)W{m}^{-2}. The rms electric field, in units of Vm−1V{m}^{-1} associated with this source is close to the nearest integer is −(ϵ0=8.86×10−12C2Nm−2;c=3×108ms−1)-\left({\epsilon }_{0}=8.86\times {10}^{-12}{C}^{2}N{m}^{-2};c=3\times {10}^{8}m{s}^{-1}\right)JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  137. 137A 5μF5\mu F capacitor is charged fully by a 220V220V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5μF2.5\mu F capacitor. If the energy change during the charge redistribution is X100J\dfrac{X}{100}J then value of XX to the nearest integer is :JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  138. 138A 60pF60pF capacitor is fully charged by a 20V20V supply. It is then disconnected from the supply and is connected to another uncharged 60pF60pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in nJnJ ) ________JEE Main/Numerical/Medium/Force and Energy stored in capacitor
  139. 139A capacitor with capacitance 5μF5\mu F is charged to 5μC5\mu C . If the plates are pulled apart to reduce the capacitance to 2μF2\mu F, how much work is done?JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  140. 140A parallel plate capacitor with area 200 cm2200 \mathrm{~cm}^2 and separation between the plates 1.5 cm1.5 \mathrm{~cm}, is connected across a battery of emf V. If the force of attraction between the plates is 25×10−6 N25 \times 10^{-6} \mathrm{~N}, the value of VV is approximately:
    (ε0=8.85×10−12C2 N.m )2)\left.\left(\varepsilon_0=8.85 \times 10^{-12} \frac{\mathrm{C}^2}{\text { N.m }}\right)^2\right)    JEE Main/MCQ/Medium/Force and Energy stored in capacitor
  141. 141A series combination of n1n_1 capacitors, each of capacity C1C_1 is charged by source of potential difference 4 V4 \mathrm{~V}. When another parallel combination of n2n_2 capacitors each of capacity C2C_2 is charged by a source of potential difference VV, it has the same total energy stored in it as the first combination has. The value of C2C_2 in terms of C1C_1 is thenJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  142. 142Let CC be the capacitance of a capacitor discharging through a resistor R. Suppose t1t_1 is the time taken for the energy stored in the capacitor to reduce to half its initial value and t2t_2 is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio t1/t2t_1 / t_2 will beJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  143. 143A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will beJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  144. 144A fully charged capacitor has a capacitance ' CC ' it is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ' ss ' and mass ' m\mathrm{m} '. If the temperature of the block is raised by ' ΔT\Delta \mathrm{T} '. The potential difference VV across the capacitance isJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  145. 145The work done in placing a charge of 8×10−188 \times 10^{-18} coulomb on a condenser of capacity 100 micro-farad isJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  146. 146If there are n capacitors in parallel connected to V volt source, then the energy stored is equal toJEE Main/MCQ/Medium/Force and Energy stored in capacitor
  147. 147Consider a circuit consisting of a capacitor (20 μ20\ \muF), resistor (100 Ω100\ \Omega) and two identical diodes as shown in figure. The resistance of diode under forward biasing condition is 10 Ω10\ \Omega. The time constant of the circuit is α×10−3\alpha \times 10^{-3} s. The value of α\alpha is _____
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  148. 148A capacitor, C1=6μ FC_1=6 \mu \mathrm{~F} is charged to a potential difference of V0=5 V\mathrm{V}_0=5 \mathrm{~V} using a 5 V battery. The battery is removed and another capacitor, C2=12μ F\mathrm{C}_2=12 \mu \mathrm{~F} is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges (q1\left(q_1\right. and q2)\left.q_2\right) on the capacitors C1C_1 and C2C_2 when equilibrium condition is reached.
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  149. 149Identify the valid statements relevant to the given circuit at the instant when the key is closed.


    A. There will be no current through resistor     RR.
    B. There will be maximum current in the connecting wires.
    C. Potential difference between the capacitor plates A and B is minimum.
    D. Charge on the capacitor plates is minimum.

    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  150. 150The electric field between the two parallel plates of a capacitor of 1.5μF1.5 \mu \mathrm{F} capacitance drops to one third of its initial value in 6.6μs6.6 \mu \mathrm{s} when the plates are connected by a thin wire.
    The resistance of this wire is _____    Ω\Omega. (Given, log⁡3=1.1\log 3=1.1 )    JEE Main/Numerical/Medium/Charging and Discarging of capacitors
  151. 151In an electrical circuit drawn below the amount of charge stored in the capacitor is _______ μC.\mu C.JEE Main/Numerical/Medium/Charging and Discarging of capacitors/With diagram
  152. 152Two identical capacitors have same capacitance CC. One of them is charged to the potential VV and other to the potential 2V2V. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is :JEE Main/MCQ/Medium/Charging and Discarging of capacitors
  153. 153A 16Ω16\Omega wire is bend to form a square loop. A 9V9V battery with internal resistance 1Ω1\Omega is connected across one of its sides. If a 4μF4\mu F capacitor is connected across one of its diagonals, the energy stored by the capacitor will be x2μJ\dfrac{x}{2}\mu J, where x=x=______.JEE Main/Numerical/Medium/Charging and Discarging of capacitors
  154. 154A capacitor of capacitance 100μF100\mu F is charged to a potential of 12V12V and connected to a 6.4mH6.4mH inductor to produce oscillations. The maximum current in the circuit would be :JEE Main/MCQ/Medium/Charging and Discarging of capacitors
  155. 155The charge accumulated on the capacitor connected in the following circuit is ______μCμC.
    (Given     C=150μF)C=150\mu F)    JEE Main/Numerical/Medium/Charging and Discarging of capacitors/With diagram
  156. 156A parallel plate capacitor of capacitance 2F2F is charged to a potential VV. The energy stored in the capacitor is E1{E}_{1}. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is E2{E}_{2}. The ratio E2E1\dfrac{{E}_{2}}{{E}_{1}} isJEE Main/MCQ/Medium/Charging and Discarging of capacitors
  157. 157A 600pF600pF capacitor is charged by 200V200V supply. It is then disconnected from the supply and is connected to another uncharged 600pF600pF capacitor. Electrostatic energy lost in the process is _____ μJ\mu J.JEE Main/Numerical/Medium/Charging and Discarging of capacitors
  158. 158Two parallel plate capacitors C1{C}_{1} and C2{C}_{2} each having capacitance of 10μF10\mu F are individually charged by a 100V100V D.C. source. Capacitor C1{C}_{1} is kept connected to the source and a dielectric slab is inserted between it plates. Capacitor C2{C}_{2} is disconnected from the source and then a dielectric slab is inserted in it. Afterwards the capacitor C1{C}_{1} is also disconnected from the source and the two capacitors are finally connected in parallel combination. The common potential of the combination will be _____ VV.
    (Assuming Dielectric constant     =10=10)    JEE Main/Numerical/Medium/Charging and Discarging of capacitors
  159. 159A capacitor of capacitance 900µF900µF is charged by a 100V100V battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as x×10−2Jx\times {10}^{-2}J. The value of xx is ______.JEE Main/Numerical/Medium/Charging and Discarging of capacitors
  160. 160As show in the figure, in steady state, the charge stored in the capacitor is _____×10−6C\times {10}^{-6}C.
    JEE Main/Numerical/Medium/Charging and Discarging of capacitors/With diagram
  161. 161A condenser of 2μF2\mu F capacitance is charged steadily from 00 to 5C5C. Which of the following graph represents correctly the variation of potential difference(V)\left(V\right) across its plates with respect to the charge (Q)\left(Q\right) on the condenser?JEE Main/MCQ/Medium/Charging and Discarging of capacitors
  162. 162A capacitor is discharging through a resistor RR. Consider in time t1{t}_{1}, the energy stored in the capacitor reduces to half of its initial value and in time t2{t}_{2}, the charge stored reduces to one eighth of its initial value. The ratio t1t2\dfrac{{t}_{1}}{{t}_{2}} will beJEE Main/MCQ/Medium/Charging and Discarging of capacitors
  163. 163A capacitor C1{C}_{1} of capacitance 5μF5\mu F is charged to a potential of 30V30V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2{C}_{2} of capacitance 10μF10\mu F as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2{C}_{2} is _____ μC\mu C.
    JEE Main/Numerical/Medium/Charging and Discarging of capacitors/With diagram
  164. 164A capacitor of capacitance 50pF50pF is charged by 100V100V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is____ nJnJ.JEE Main/Numerical/Medium/Charging and Discarging of capacitors
  165. 165Two capacitors having capacitance C1{C}_{1} and C2{C}_{2} respectively are connected as shown in figure. Initially, capacitor C1{C}_{1} is charged to a potential difference VV volt by a battery. The battery is then removed and the charged capacitor C1{C}_{1} is now connected to uncharged capacitor C2{C}_{2} by closing the switch SS. The amount of charge on the capacitor C2{C}_{2}, after equilibrium, is
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  166. 166A capacitor of 50μF50\mu F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is _________ μC.\mu C.
    JEE Main/Numerical/Medium/Charging and Discarging of capacitors/With diagram
  167. 167
    A capacitor of capacitance     C=1μFC=1\mu F is suddenly connected to a battery of 100V100V through a resistance R=100Ω.R=100\Omega . The time taken for the capacitor to be charged to get 50V50V is:
    (Take     ln⁡2=0.69\ln 2=0.69)    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  168. 168A 2μF2\mu F capacitor C1{C}_{1} is first charged to a potential difference of 10V10V using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor C2{C}_{2} of 8μF8\mu F. The charge in C2{C}_{2} on equilibrium condition is μC\mu C. (Round off to the Nearest Integer)
    JEE Main/Numerical/Medium/Charging and Discarging of capacitors/With diagram
  169. 169For the given input voltage waveform Vin(t),{V}_{\text{in}}(t), the output voltage waveform V0(t),{V}_{0}(t), across the capacitor is correctly depicted by :
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  170. 170A capacitor CC is fully charged with voltage V0{V}_{0}. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance C2\dfrac{C}{2}. The energy loss in the process after the charge is distributed between the two capacitors is :JEE Main/MCQ/Medium/Charging and Discarging of capacitors
  171. 171The parallel combination of two air filled parallel plate capacitors of capacitance CC and nCnC is connected to a battery of voltage, V.V. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant KK is placed the two plates of the first capacitor. The new potential difference of the combined system is:JEE Main/MCQ/Medium/Charging and Discarging of capacitors
  172. 172The figure shows a capacitor of capacitance CC connected to a battery via a switch, having a total charge QQ on it, in steady-state. When the switch SS is turned from position AA to position BB, the energy dissipated in the circuit is

    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  173. 173A parallel plate capacitor having capacitance 12pF12 pF is charged by a battery to a potential difference of 10V10 V between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant 6.56.5 is slipped between the plates. The work done by the capacitor on the slab isJEE Main/MCQ/Medium/Charging and Discarging of capacitors
  174. 174In the following circuit the switch SSis closed at t=0t=0. The charge on the capacitor C1{C}_{1} as a function of time will be given by (Ceq=C1C2C1+C2)\left({C}_{eq}=\dfrac{{C}_{1}{C}_{2}}{{C}_{1}+{C}_{2}}\right)

    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  175. 175In the given circuit diagram, when the current reaches a steady-state in the circuit, the charge on the capacitor of capacitance CC will be:
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  176. 176In the given circuits (a)\left(a\right) and (b)\left(b\right), switches S1{\text{S}}_{1} and S2{\text{S}}_{2} are closed at t=0\text{t}=0 and kept close for a long time. The variation of currents in the two circuits for t≥0\text{t}\geq 0 are shown in the options. (Figures are schematic and not drawn to scale.)
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  177. 177In the given circuit, charge Q2{Q}_{2} on the 2μF2\mu F capacitor changes as C is varied from 1μF1\mu F to 3μF3\mu F. Q2{Q}_{2} as a function of 'C' is given properly by: (figures are drawn schematically and are not to scale)
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  178. 178A parallel plate capacitor of area 60 cm260 \mathrm{~cm}^2 and separation 3 mm3 \mathrm{~mm} is charged initially to 90μC90 \mu \mathrm{C}. If the medium between the plate gets slightly conducting and the plate loses the charge initially at the rate of 2.5×10−8C/s2.5 \times 10^{-8} \mathrm{C} / \mathrm{s}, then what is the magnetic field between the plates ?JEE Main/MCQ/Medium/Charging and Discarging of capacitors
  179. 179In an LCR\text{LCR} circuit as shown below both switches are open initially. Now switch S1{\text{S}}_{1} is closed, S2{\text{S}}_{2} kept open. (q\text{q} is charge on the capacitor and τ=RC\tau =\text{RC} is capacitive time constant). Which of the following statement is correct?
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram
  180. 180The figure shows an experimental plot for discharging of a capacitor in an R−CR-C circuit. The time constant τ\tau of this circuit lies between:
    JEE Main/MCQ/Medium/Charging and Discarging of capacitors/With diagram

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