Physics · NEET, JEE Main

Electromagnetic Induction

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

104MCQ49Numerical49With diagram
Start with question 1 See it move: Electromagnetic induction
  1. 1The self-inductance of a solenoid with NN turns is proportional to:NEET/MCQ/Medium
  2. 2A circular coil of radius R=10 cmR=10\,\text{cm} and 500500 turns carries current 1 A1\,\text{A}. The magnetic field at its centre is (BB in mT\text{mT}):JEE Main/MCQ/Medium
  3. 3A square loop of side 22 cm is placed in a time varying magnetic field with magnitude as B=0.4sin⁡(300t)B = 0.4\sin(300t) Tesla. The normal to the plane of loop makes an angle of 60°60° with the field. The maximum induced emf produced in the loop is __________ mV.JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  4. 4A circular loop of radius 20 cm20\text{ cm} and resistance 2 Ω2\ \Omega is placed in a time varying magnetic field B⃗=(2t2+2t+3) T\vec{B} = (2t^2 + 2t + 3)\text{ T}. At t=0t = 0, for the plane of the loop being perpendicular to the magnetic field and, the induced current in the loop at t=3 st = 3\text{ s} is α50 A\dfrac{\alpha}{50}\text{ A}. The value of α\alpha is _______.
    (Take     π=22/7\pi = 22/7)    JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  5. 5When a coil is placed in a time dependent magnetic field the power dissipated in it is PP. The number of turns, area of the coil and radius of the coil wire are NN, AA and rr respectively. For a second coils number of turns, area of the coil and radius of the coil wire are 2N2N, 2A2A and 3r3r respectively. When the first coil is replaced with second coil the power dissipated in it is 2 αP\sqrt{2}\,\alpha P. The value of α\alpha is _______.JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  6. 6A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is converted into a square loop in 0.5 s. The EMF induced in the loop is ____\_\_\_\_ mV.JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  7. 7A conducting circular loop of area 1.0 m21.0 \mathrm{~m}^{2} is placed perpendicular to a magnetic field which varies as B=sin⁡(100t)B=\sin (100 t) Tesla. If the resistance of the loop is 100Ω100 \Omega, then the average thermal energy dissipated in the loop in one period is ____\_\_\_\_ J.JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  8. 8A rod of length 60 cm60 \mathrm{~cm} rotates with a uniform angular velocity 20rads−120 \mathrm{rad} \mathrm{s}^{-1} about its perpendicular bisector, in a uniform magnetic filed 0.5T0.5 T. The direction of magnetic field is parallel to the axis of rotation. The potential difference between the two ends of the rod is _____V.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  9. 9The magnetic flux ϕ\phi (in weber) linked with a closed circuit of resistance 8Ω8\Omega varies with time (in seconds) as ϕ=5t2−36t+1\phi =5{t}^{2}-36t+1. The induced current in the circuit at t=2st=2s is _______ AA.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  10. 10A coil is placed perpendicular to a magnetic field of 5000T5000T. When the field is changed to 3000T3000T in 2s2s, an induced emf of 22V22V is produced in the coil. If the diameter of the coil is 0.02m0.02m, then the number of turns in the coil is:JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  11. 11A square loop of side 10cm10cm and resistance 0.7Ω0.7\Omega is placed vertically in the east-west plane. A uniform magnetic field of 0.20T0.20T is set up across the plane in the north-east direction. The magnetic field is decreased to zero in 1s1s at a steady rate. Then, the magnitude of induced emf is x×10−3V\sqrt{x}\times {10}^{-3}V. The value of xx is _______.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  12. 12A 12V12V battery connected to a coil of resistance 6Ω6Ω through a switch, drives a constant current in the circuit. The switch is opened in 1ms1ms. The emf induced across the coil is 20V20V. The inductance of the coil is :JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  13. 13An insulated copper wire of 100100 turns is wrapped around a wooden cylindrical core of the cross-sectional area 24cm224{cm}^{2}. The two ends of the wire are connected to a resistor. The total resistance in the circuit is 12Ω12\Omega. If an externally applied uniform magnetic field in the core along its axis changes from 1.5T1.5T in one direction to 1.5T1.5T in the opposite direction, the charge flowing through a point in the circuit during the change of magnetic field will be _____ mCmC.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  14. 14The magnetic field B crossing normally a square metallic plate of area 4m24{m}^{2} is changing with time as shown in figure. The magnitude of induced emf in the plate during t=2st=2s to t=4st=4s, is _____ mVmV.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  15. 15The induced emf can be produced in a coil by
    A. moving the coil with uniform speed inside uniform magnetic field
    B. moving the coil with non uniform speed inside uniform magnetic field
    C. rotating the coil inside the uniform magnetic field
    D. changing the area of the coil inside the uniform magnetic field
    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  16. 16A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B=0.8TB=0.8T. When released the radius of the loop starts shrinking at a constant rate of 2cms–12cm{s}^{–1}. The induced emf in the loop at an instant when the radius of the loop is 10cm10cm will be ______ mVmV.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  17. 17A conducting loop of radius 10πcm\dfrac{10}{\sqrt{\pi }}cm is placed perpendicular to a uniform magnetic field of 0.5T0.5T. The magnetic field is decreased to zero in 0.5s0.5s at a steady rate. The induced emf in the circular loop at 0.25s0.25s is:JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  18. 18A conducting circular loop is placed in X−YX-Y plane in presence of magnetic field B⃗=(3t3j^+3t2k^)\vec{B}=\left(3{t}^{3}\hat{j}+3{t}^{2}\hat{k}\right) in SI unit. If the radius of the loop is 1m1m, the induced emf in the loop, at time, t=2st=2s is nπVn\pi V. The value of nn is _____ .JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  19. 19In a coil of resistance 8Ω8\Omega, the magnetic flux due to an external magnetic field varies with time as ϕ=23(9−t2)\phi =\dfrac{2}{3}\left(9-{t}^{2}\right). The value of total heat produced in the coil, till the flux becomes zero, will be _____ JJ.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  20. 20Magnetic flux (in weber) in a closed circuit of resistance 20Ω20\Omega varies with time t(s)t\left(s\right) as ϕ=8t2−9t+5\phi =8{t}^{2}-9t+5. The magnitude of the induced current at t=0.25st=0.25s will be _____ mAmA.JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  21. 21The magnetic flux through a coil perpendicular to its plane is varying according to the relation ϕ=(5t3+4t2+2t−5)\phi =\left(5{t}^{3}+4{t}^{2}+2t-5\right) Weber. If the resistance of the coil is 5ohm5ohm, then the induced current through the coil at t=2st=2s will be,JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  22. 22A square loop of side 20cm20cm and resistance 1Ω1\Omega is moved towards right with a constant speed v0.{v}_{0}. The right arm of the loop is in a uniform magnetic field of 5T.5T. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value 4Ω.4\Omega . What should be the value of v0{v}_{0} so that a steady current of 2mA2mA flows in the loop ?
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  23. 23A coil is placed in a magnetic field B⃗\vec{B} as shown below :

    A current is induced in the coil because     B⃗\vec{B} is :    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  24. 24A bar magnet is passing through a conducting loop of radius RR with velocity v.v. The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the loop can be represented by the approximate curve:
         JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  25. 25In the given figure the magnetic flux through the loop increases according to the relation ϕB(t)=10t2+20t{\phi }_{B}(t)=10{t}^{2}+20t, where ϕB{\phi }_{B} is in milliwebers and tt is in seconds. The magnitude of current through R=2ΩR=2\Omega resistor at t=5st=5s is _____ mA.mA.
    JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  26. 26A circular conducting coil of radius 1m1m is being heated by the change of magnetic field B⃗\vec{B} passing perpendicular to the plane in which the coil is laid. The resistance of the coil is 2μΩ2\mu \Omega. The magnetic field is slowly switched off such that its magnitude changes in time as
    B=4π×10−3T(1−t100)B=\dfrac{4}{\pi }\times {10}^{-3}T\left(1-\dfrac{t}{100}\right)
    The energy dissipated by the coil before the magnetic field is switched off completely is     E=______mJ.    JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  27. 27The arm PQPQ of a rectangular conductor is moving from x=0x=0 to x=2bx=2b outwards and then inwards from x=2bx=2b to x=0x=0 as shown in the figure. A uniform magnetic field perpendicular to the plane is acting from x=0x=0 to x=b.x=b. Identify the graph showing the variation of different quantities with distance:

    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  28. 28The magnetic field in a region is given by B⃗=B0(xa)k^\vec{B}={B}_{0}\left(\dfrac{x}{a}\right)\hat{k}. A square loop of side d is placed with its edges along the xx and yy axes. The loop is moved with a constant velocity v⃗=v0i^\vec{v}={v}_{0}\hat{i}. The emf induced in the loop is :
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  29. 29A conducting bar of length LL is free to slide on two parallel conducting rails as shown in the figure

    Two resistors     R1{R}_{1} and R2{R}_{2} are connected across the ends of the rails. There is a uniform magnetic field B⃗\vec{B} pointing into the page. An external agent pulls the bar to the left at a constant speed vv.
    The correct statement about the directions of induced currents     I1{I}_{1} and I2{I}_{2} flowing through R1{R}_{1} and R2{R}_{2} respectively is :    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  30. 30A coil of inductance 2H2H having negligible resistance is connected to a source of supply whose voltage is given by V=3tV=3t volt. (where tt is in second). If the voltage is applied when t=0t=0, then the energy stored in the coil after 4s4s in JJ,JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  31. 31An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor CC with a sliding connector are located in the same plane, as shown in the figure. The connector has length l. and resistance RR. It slides to the right with a velocity vv. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation r, between the connector and the straight wire is
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  32. 32Two concentric circular coils, C1{C}_{1} and C2{C}_{2}, are placed in the XYXY plane. C1{C}_{1} has 500500turns, and a radius of 1cm1cm. C2{C}_{2} has 200 turns and radius of 20cm.C220cm\text{.}{C}_{2} carries a time dependent current I(t)=(5t2−2t+3)AI\left(t\right)=\left(5{t}^{2}-2t+3\right)A where tt is in s. The emf induced in C1(inmV){C}_{1}\left(inmV\right) at the instant t=1t=1s is 4x.\dfrac{4}{x}. The value of xx is ..........JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  33. 33A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4mm4mm and a total length of 30cm.30cm. The magnetic field changes with time at a steady rate dB/dt=0.032Ts−1.dB/dt=0.032{Ts}^{-1}. The induced current in the looploopis close to (Resistivity of the metal wire is 1.23×10−8Ωm1.23\times {10}^{-8}\Omega m )JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  34. 34A circular coil of radius 10cm10cm is placed in a uniform magnetic field of 3.0×10−5T3.0\times {10}^{-5}T with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in 0.2s0.2s. The maximum value of EMF induced (in μV\mu V) in the coil will be close to the integer....JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  35. 35At time t=0t=0 magnetic field of 1000Gauss1000Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500Gauss,500Gauss, in the next 5s,5s, then induced EMFEMF in the loop is:
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  36. 36A planar loop of wire rotates in a uniform magnetic field. Initially, at t=0t=0 , the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10s10s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  37. 37A loop ABCDEFAABCDEFA of straight edges has six corner points A(0,0,0),B(5,0,0),C(5,5,0),D(0,5,0),E(0,5,5)A\left(0,0,0\right),B\left(5,0,0\right),C\left(5,5,0\right),D\left(0,5,0\right),E\left(0,5,5\right) and F(0,0,5)F\left(0,0,5\right) . The magnetic field in this region is B⃗=(3i^+4k^)T\vec{B}=\left(3\hat{i}+4\hat{k}\right)T . The quantity of flux through the loop ABCDEFAABCDEFA (in WbWb ) is _____________JEE Main/Numerical/Medium/Magnetic Flux, Faraday's and Lenz law
  38. 38Consider a circular coil of wire carrying constant current I,I, forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by ϕi{\phi }_{i} The magnetic flux through the area of the circular coil area is given by ϕ0{\phi }_{0} . Which of the following option is correct?JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  39. 39A conducting circular loop made of a thin wire has area 3.5×10−2m23.5\times {10}^{-2}{m}^{2} and resistance 10Ω10\Omega It is placed perpendicular to a time-dependent magnetic field B(t)=(0.4T)sin⁡⁡(50πt)B\left(t\right)=\left(0.4T\right)\sin ⁡\left(50\pi t\right) The field is uniform in space. Then the net charge flowing through the loop during t=0st=0s and t=10mst=10ms is close toJEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  40. 40At the centre of a fixed large circular coil of radius R\mathrm{R}, a much smaller circular coil of radius rr is placed. The two coils are concentric and are in the same plane. The larger coil carries a current I. The smaller coil is set to rotate with a constant angular velocity ω\omega about an axis along their common diameter. Calculate the emf induced in the smaller coil after a time tt of its start of rotation.JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  41. 41A copper rod of mass m\mathrm{m} slides under gravity on two smooth parallel rails, with separation ll and set at an angle of θ\theta with the horizontal. At the bottom, rails are joined by a resistance R. There is a uniform magnetic field B\mathrm{B} normal to the plane of the rails, as shown in the figure. The terminal speed of the copper rod is:
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  42. 42A circular loop of radius 0.3cm0.3cm lies parallel to a much bigger circular loop of radius 20cm20cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is1515 cmcm. If a current of 2.0A2.0A flows through the smaller loop, then the flux linked with a bigger loop is:JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  43. 43A coil of self inductance LL is connected at one end of two rails as shown in figure. A connector of length ll, mass mm can slide freely over the two parallel rails. The entire set up is placed in a magnetic field of induction BB going into the page. At an instant t=0t=0 an initial velocity v0v_0 is imparted to it and as a result of that it starts moving along xx-axis. The displacement of the connector is represented by the figure.
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  44. 44Magnetic flux through a coil of resistance 10Ω10 \Omega is changed by Δϕ\Delta \phi in 0.1 s0.1 \mathrm{~s}. The resulting current in the coil varies with time as shown in the figure. Then ∣Δϕ∣|\Delta \phi| is equal to (in weber)
    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law/With diagram
  45. 45The flux linked with a coil at any instant ' tt ' is given by
    ϕ=10t2−50t+250\phi=10 t^2-50 t+250
    The induced emf at     t=3 st=3 \mathrm{~s} is    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  46. 46In a uniform magnetic field of induction BB a wire in the form of semicircle of radius rr rotates about the diameter of the circle with angular frequency ω\omega. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is RR the mean power generated per period of rotation isJEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  47. 47The mass of product liberated on anode in an electrochemical cell depends on
    (where t is the time period, for which the current is passed)    JEE Main/MCQ/Medium/Magnetic Flux, Faraday's and Lenz law
  48. 48A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnate field, the plot of magnitude of induced emf (ε)(\varepsilon) with time (t)(t) is given byJEE Main/MCQ/Medium/Induced Electric Field
  49. 49A horizontal straight wire 5m5m long extending from east to west falling freely at right angle to horizontal component of earth's magnetic field 0.60×10−4Wbm−20.60\times {10}^{-4}Wb{m}^{-2}. The instantaneous value of emf induced in the wire when its velocity is 10ms−110m{s}^{-1} is _______×10−3V\times {10}^{-3}V.JEE Main/Numerical/Medium/Induced Electric Field
  50. 50A rectangular loop of length 2.5m2.5m and width 2m2m is placed at 60∘60^{\circ} to a magnetic field of 4T4T. The loop is removed from the field in 10sec⁡10\sec. The average emf induced in the loop during this time isJEE Main/MCQ/Medium/Induced Electric Field
  51. 51The source of time varying magnetic field may be
    (A) a permanent magnet
    (B) an electric field changing linearly with time
    (C) direct current
    (D) a decelerating charge particle
    (E) an antenna fed with a digital signal
    Choose the correct answer from the options given below.    JEE Main/MCQ/Medium/Induced Electric Field
  52. 52A square shaped coil of area 70cm270{cm}^{2} having 600600 turns rotates in a magnetic field of 0.4Wbm–20.4Wb{m}^{–2}, about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil completes 500500 revolution in a minute, the instantaneous emf when the plane of the coil is inclined at 60∘60^{\circ} with the field, will be ______ VV.
    (Take     π=227\pi =\dfrac{22}{7})    JEE Main/Numerical/Medium/Induced Electric Field
  53. 53In an ac generator, a rectangular coil of 100100 turns each having area 14×10–2m214\times {10}^{–2}{m}^{2} is rotated at 360revmin⁡−1360rev{\min }^{-1} about an axis perpendicular to a uniform magnetic field of magnitude 3.0T3.0T. The maximum value of the emf produced will be ______ VV.
    [Take     π=227\pi =\dfrac{22}{7}]    JEE Main/Numerical/Medium/Induced Electric Field
  54. 54A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius of wire doubled, the electrical power dissipated due to the current induced in the coil would be (Assume the coil to be short circuited.)JEE Main/MCQ/Medium/Induced Electric Field
  55. 55A 10Ω,20mH10\Omega ,20mH coil carrying constant current is connected to a battery of 20V20V through a switch. Now after switch is opened current becomes zero in 100μs100\mu s. The average e.m.f. induced in the coil is _____ VV.JEE Main/Numerical/Medium/Induced Electric Field
  56. 56A coil of cross-sectional area AA having nn turns is placed in a uniform magnetic field BB. When it is rotated with an angular velocity ω,\omega , the maximum e.m.f. induced in the coil will be:JEE Main/MCQ/Medium/Induced Electric Field
  57. 57A small circular loop of wire of radius aa is located at the centre of a much larger circular wire loop of radius bb. The two loops are in the same plane. The outer loop of radius bb carries an alternating current I=I0cos⁡⁡(ωt).I={I}_{0}\cos ⁡\left(\omega t\right). The emf induced in the smaller inner loop is nearly:JEE Main/MCQ/Medium/Induced Electric Field
  58. 58In a coil of resistance 100Ω100\Omega, a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is:
    JEE Main/MCQ/Medium/Induced Electric Field/With diagram
  59. 59
    The figure shows a circular area of tthe radius     RR where a uniform magnetic field B⃗\vec{B} is going into the plane of the paper and increasing in magnitude at a constant rate. In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric field E(r)E(r)?    JEE Main/MCQ/Medium/Induced Electric Field/With diagram
  60. 60A square frame of side 10cm10cm and a long straight wire carrying current 1A1A are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of 10ms−110m{s}^{-1} (see figure). The e.m.f induced at the time the left arm of the frame is at x=10cmx=10cm from the wire is
    JEE Main/MCQ/Medium/Induced Electric Field/With diagram
  61. 61A coil of circular cross-section having 1000 turns and 4 cm24 \mathrm{~cm}^2 face area is placed with its axis parallel to a magnetic field which decreases by 10−2 Wb10^{-2} \mathrm{~Wb} m−2\mathrm{m}^{-2} in 0.01 s0.01 \mathrm{~s}. The e.m.f. induced in the coil is:JEE Main/MCQ/Medium/Induced Electric Field
  62. 62A metal sample carrying a current along X−\mathrm{X-} axis with density Jx\mathrm{J}_{\mathrm{x}} is subjected to a magnetic field Bz\mathrm{B}_z (along z−\mathrm{z-}axis). The electric field Ey\mathrm{E}_{\mathrm{y}} developed along Y\mathrm{Y}-axis is directly proportional to Jx\mathrm{J}_{\mathrm{x}} as well as Bz\mathrm{B}_{\mathrm{z}}. The constant of proportionality has SI unit.JEE Main/MCQ/Medium/Induced Electric Field
  63. 63A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; it is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to :JEE Main/MCQ/Medium/Induced Electric Field
  64. 64A boat is moving due east in a region where the earth's magnetic field is 5.0×10−5NA−1 m−15.0 \times 10^{-5} \mathrm{NA}^{-1} \mathrm{~m}^{-1} due north and horizontal. The boat carries a vertical aerial 2 m2 \mathrm{~m} long. If the speed of the boat is 1.50 ms−11.50 \mathrm{~ms}^{-1}, the magnitude of the induced emf in the wire of aerial is :JEE Main/MCQ/Medium/Induced Electric Field
  65. 65One conducting U tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field BB is perpendicular to the plane of the figure. if each tube moves towards the other at a constant speed V, then the emf induced in the circuit in terms of B,ℓB, \ell and V\mathrm{V} where ℓ\ell is the width of each tube will be
    JEE Main/MCQ/Medium/Induced Electric Field/With diagram
  66. 66A coil having nn turns and resistance 4RΩ4 \mathrm{R} \Omega. This combination is moved in time tt seconds from a magnetic field W1W_1 weber to W2W_2 weber. The induced current in the circuit isJEE Main/MCQ/Medium/Induced Electric Field
  67. 67A conducting square loop of side LL and resistance RR moves in its plane with a uniform velocity vv perpendicular to one of its sides. A magnetic induction B constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced emf is
    JEE Main/MCQ/Medium/Induced Electric Field/With diagram
  68. 68A metal rod of length LL rotates about one end at origin with a uniform angular velocity ω\omega. The magnetic field radially falls off as B(r)=B0e−λrB(r) = B_0 e^{-\lambda r}; λ\lambda being a positive constant. The emf induced (neglecting the centripetal force on electrons in the rod) is :JEE Main/MCQ/Medium/Motional and Rotational EMF
  69. 69A simple pendulum made of mass 10 g and a metallic wire of length 10 cm is suspended vertically in a uniform magnetic field of 2 T. The magnetic field direction is perpendicular to the plane of oscillations of the pendulum. If the pendulum is released from an angle of 60∘60^{\circ} with vertical, then maximum induced EMF between the point of suspension and point of oscillation is ____\_\_\_\_ mV. (Take g=10 m/s2\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2})JEE Main/Numerical/Medium/Motional and Rotational EMF
  70. 70A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity (g=10 m/s2g=10 \mathrm{~m} / \mathrm{s}^{2}) through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to the length of the wire. The induced EMF across the wire when it travells a vertical distance of 200 m is ____\_\_\_\_ mV.JEE Main/MCQ/Medium/Motional and Rotational EMF
  71. 71A conducting circular loop is rotated about its diameter at a constant angular speed of 100rad/s100 \mathrm{rad} / \mathrm{s} in a magnetic field of 0.5 T perpendicular to the axis of rotation. When the loop is rotated by 30∘30^{\circ} from the horizontal position, the induced EMF is 15.4 mV. The radius of the loop is ____\_\_\_\_ mm. (Take π=227\pi=\frac{22}{7})JEE Main/Numerical/Medium/Motional and Rotational EMF
  72. 72XPQYX P Q Y is a vertical smooth long loop having a total resistance RR where PXP X is parallel to QYQ Y and separation between them is ll. A constant magnetic field BB perpendicular to the plane of the loop exists in the entire space. A rod CDC D of length L(L>l)L(L\gt l) and mass mm is made to slide down from rest under the gravity as shown in figure. The terminal speed acquired by the rod is ____\_\_\_\_ m/s.(g=\mathrm{m} / \mathrm{s}.(\mathrm{g}= acceleration due to gravity)
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  73. 73A 1 m long metal rod AB completes the circuit as shown in figure. The area of circuit is perpendicular to the magnetic field of 0.10 T. If the resistance of the total circuit is 2Ω2 \Omega then the force needed to move the rod towards right with constant speed (v) of 1.5 m/s1.5 \mathrm{~m} / \mathrm{s} is ____\_\_\_\_ N.
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  74. 74Conductor wire ABCDE with each arm⁡10 cm\operatorname{arm} 10 \mathrm{~cm} in length is placed in magnetic field of 12\frac{1}{\sqrt{2}} Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of 10 cm/s10 \mathrm{~cm} / \mathrm{s}, induced emf between points A and E is _____ mV.
    JEE Main/Numerical/Medium/Motional and Rotational EMF/With diagram
  75. 75A coil of area A and N turns is rotating with angular velocity \(\omega\) in a uniform magnetic field \(\vec{B}\) about an axis perpendicular to \(\vec{B}\). Magnetic flux \(\varphi\) and induced \(\operatorname{emf} \varepsilon\) across it, at an instant when \(\vec{B}\) is parallel to the plane of coil, are :JEE Main/MCQ/Medium/Motional and Rotational EMF
  76. 76

    A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time     t=0t=0 with a constant velocity. If the induced EMF is E∝tn\mathrm{E} \propto \mathrm{t}^{\mathrm{n}}, then value of n is _.    JEE Main/Numerical/Medium/Motional and Rotational EMF/With diagram
  77. 77A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10πrads−110 \pi \mathrm{rad} \mathrm{s}^{-1} about an axis through its centre and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim ? (π=3.14)(\pi=3.14)JEE Main/MCQ/Medium/Motional and Rotational EMF
  78. 78A square loop of side 15 cm15 \mathrm{~cm} being moved towards right at a constant speed of 2 cm/s\mathrm{cm} / \mathrm{s} as shown in figure. The front edge enters the 50 cm50 \mathrm{~cm} wide magnetic field at t=t= 0 . The value of induced emf in the loop at t=10 st=10 \mathrm{~s} will be :
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  79. 79A square loop PQRS having 10 turns, area 3.6×10−3 m23.6 \times 10^{-3} \mathrm{~m}^2 and resistance 100Ω100 \Omega is slowly and uniformly being pulled out of a uniform magnetic field of magnitude B=0.5 T\mathrm{B}=0.5 \mathrm{~T} as shown. Work done in pulling the loop out of the field in 1.0 s1.0 \mathrm{~s} is ______ ×10−6 J\times 10^{-6} \mathrm{~J}.
    JEE Main/Numerical/Medium/Motional and Rotational EMF/With diagram
  80. 80A coil of 200200 turns and area 0.20m20.20{m}^{2} is rotated at half a revolution per second and is placed in uniform magnetic field of 0.01T0.01T perpendicular to axis of rotation of the coil. The maximum voltage generated in the coil is 2πβ\dfrac{2\pi }{\beta } volt. The value of β\beta is ______.JEE Main/Numerical/Medium/Motional and Rotational EMF
  81. 81A rectangular loop of sides 12cm12cm and 5cm5cm, with its sides parallel to the xx-axis and yy-axis respectively moves with a velocity of 5cms−15cm{s}^{-1} in the positive xx axis direction, in a space containing a variable magnetic field in the positive zz direction. The field has a gradient of 10−3Tcm−1{10}^{-3}T{cm}^{-1} along the negative xx direction and it is decreasing with time at the rate of 10−3Ts−1.{10}^{-3}T{s}^{-1}. If the resistance of the loop is 6mΩ6m\Omega, the power dissipated by the loop as heat is ______ ×10−9W.\times {10}^{-9}W.JEE Main/Numerical/Medium/Motional and Rotational EMF
  82. 82A 20cm20cm long metallic rod is rotated with 210rpm210rpm about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field 0.2T0.2T parallel to the axis exists everywhere. The emf developed between the centre and the ring is _________mVmV.
    (Take     π=227\pi =\dfrac{22}{7})    JEE Main/Numerical/Medium/Motional and Rotational EMF
  83. 83A conducting circular loop is placed in a uniform magnetic field of 0.4T0.4T with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constant rate of 1mms−11mm{s}^{-1}. The magnitude of induced emf in the loop at an instant when the radius of the loop is 2cm2cm will be _______ μV\mu V.JEE Main/Numerical/Medium/Motional and Rotational EMF
  84. 84A metallic cube of side 15cm15cm moving along yy-axis at a uniform velocity of 2ms−12m{s}^{-1}. In a region of uniform magnetic field of magnitude 0.5T0.5T directed along zz- axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be mVmV.
    JEE Main/Numerical/Medium/Motional and Rotational EMF/With diagram
  85. 85A square loop of side 2.0cm2.0cm is placed inside a long solenoid that has 5050 turns per centimetre and carries a sinusoidally varying current of amplitude 2.5A2.5A and angular frequency 700rads−1700rad{s}^{-1}. The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is x×10−4Vx\times {10}^{-4}V. The value of xx is ___________
    (( Take, π=227)\left.\pi =\dfrac{22}{7}\right)    JEE Main/Numerical/Medium/Motional and Rotational EMF
  86. 86A 1m1m long metal rod XYXY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0.15T0.15T. If the resistance of the circuit is 5Ω5Ω, the force needed to move the rod in direction, as indicated, with a constant speed of 4ms−14m{s}^{-1} will be _______10–3N{10}^{–3}N.
    JEE Main/Numerical/Medium/Motional and Rotational EMF/With diagram
  87. 87An emf of 0.08V0.08V is induced in a metal rod of length 10cm10cm held normal to a uniform magnetic field of 0.4T0.4T, when move with a velocity of:JEE Main/MCQ/Medium/Motional and Rotational EMF
  88. 88A wire of length 1m1m moving with velocity 8ms−18m{s}^{-1} at right angles to a magnetic field of 2T2T. The magnitude of induced emf, between the ends of wire will be ___________.JEE Main/MCQ/Medium/Motional and Rotational EMF
  89. 89A metallic rod of length LL is rotated with an angular speed of ω\omega normal to a uniform magnetic field BB about an axis passing through one end of rod as shown in figure. The induced emf will be :
    .    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  90. 90A metallic conductor of length 1m1m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5rads−15rad{s}^{-1}. If the horizontal component of earth's magnetic field is 0.2×10−4T0.2\times {10}^{-4}T, then emf induced between the two ends of the conductor isJEE Main/MCQ/Medium/Motional and Rotational EMF
  91. 91A circular coil of 1000 turns each with area 1m21{m}^{2} is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07T0.07T. The maximum voltage generation will be _____ VV.JEE Main/Numerical/Medium/Motional and Rotational EMF
  92. 92A constant magnetic field of 1T1T is applied in the x>0x\gt 0 region. A metallic circular ring of radius 1m1m is moving with a constant velocity of 1ms−11m{s}^{-1} along the xx-axis. At t=0st=0s, the centre OO of the ring is at x=−1mx=-1m. What will be the value of the induced emf in the ring at t=1st=1s ? (Assume the velocity of the ring does not change.)
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  93. 93A circular coil of radius 8.0cm8.0cm and 2020 turns is rotated about its vertical diameter with an angular speed of 50rads−150rad{s}^{-1} in a uniform horizontal magnetic field of 3.0×10−2T3.0\times {10}^{-2}T. The maximum emf induced in the coil will be _______×10−2\times {10}^{-2} volt (rounded off to the nearest integer).JEE Main/Numerical/Medium/Motional and Rotational EMF
  94. 94The figure shows a square loop LL of side 5cm5cm which is connected to a network of resistances. The whole setup is moving towards the right with a constant speed of 1cms−11cm{s}^{-1} . At some instant, a part of LL is in a uniform magnetic field of 1T1T perpendicular to the plane of the loop. If the resistance of LL is 1.7Ω,1.7\Omega , the current in the loop at that instant will be close to:
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  95. 95A thin strip 10cm10cm long is on a UU shaped wire of negligible resistance and it is connected to a spring of spring constant 0.5Nm−10.5N{m}^{-1} (see figure). The assembly is kept in a uniform magnetic field of 0.1T.0.1T. If the strip is pulled from its equilibrium position and released, the number of oscillations it performs before its amplitude decreases by a factor of ee is NN . If the mass of the strip is 5050 grams, its resistance 10Ω10\Omega and air drag negligible, NN will be close to:
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  96. 96A 10m10m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0ms−1,5.0m{s}^{-1}, at right angles to the horizontal component of the earth's magnetic field of 0.3×10−4Wbm−2.0.3\times {10}^{-4}Wb{m}^{-2}. The value of the induced emf in the wire is:JEE Main/MCQ/Medium/Motional and Rotational EMF
  97. 97A solid metal cube of edge length 2cm2cm is moving in the positive yy-direction, at a constant speed of 6ms−16m{s}^{-1}. There is a uniform magnetic field of 0.1T\text{0.1}T in the positive zz-direction. The potential difference between the two faces of the cube, perpendicular to the xx-axis, isJEE Main/MCQ/Medium/Motional and Rotational EMF
  98. 98A metallic rod of length ll is tied to a string of length 2l2l and made to rotate with angular speed ω\omega on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the e.m.f. induced across the ends of the rod is:
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  99. 99A rectangular loop has a sliding connector PQ of length ℓ\ell and resistance RΩ\mathrm{R} \Omega and it is moving with a speed vv as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents I1,I2I_1, I_2 and II are
    JEE Main/MCQ/Medium/Motional and Rotational EMF/With diagram
  100. 100In an AC\mathrm{AC} generator, a coil with N\mathrm{N} turns, all of the same area A\mathrm{A} and total resistance R\mathrm{R}, rotates with frequency ω\omega in a magnetic field BB. The maximum value of emf generated in the coil is "JEE Main/MCQ/Medium/Motional and Rotational EMF
  101. 101A metal conductor of length 1 m1 \mathrm{~m} rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth's magnetic field is 0.3×10−4 T0.3 \times 10^{-4} \mathrm{~T}, then the e.m.f. developed between the two ends of the conductor isJEE Main/MCQ/Medium/Motional and Rotational EMF
  102. 102In the given circuit below inductance values of L1L_1, L2L_2 and L3L_3 are same. The magnetic energy stored in the entire circuit is (Ut)(U_t) and that stored in the L2L_2 inductor is (Ul)(U_l). Ut/UlU_t / U_l is __________.
    (Ignore the mutual inductance if any)
    JEE Main/Numerical/Medium/Inductance/With diagram
  103. 103Inductance of a coil with 10410^{4} turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10Ω10 \Omega. The energy density in the inductor when the current reaches (1e)\left(\frac{1}{e}\right) of its maximum value is απ×1e2 J/m3\alpha \pi \times \frac{1}{e^{2}} \mathrm{~J} / \mathrm{m}^{3}. The value of α\alpha is ____\_\_\_\_. (μ0=4π×10−7Tm/A\mu_{0}=4 \pi \times 10^{-7} \mathrm{Tm} / \mathrm{A}).JEE Main/Numerical/Medium/Inductance
  104. 104In the given figure, an inductor and resistor are connected in series with a battery of emfemf EE volt. Ea2bJs−1\dfrac{{E}^{a}}{2b}J{s}^{-1} represents the maximum rate at which the energy is stored in the magnetic field (inductor). The numerical value of ba\dfrac{b}{a} will be _____.JEE Main/Numerical/Medium/Inductance/With diagram
  105. 105A coil has an inductance of 2H2H and resistance of 4Ω4\Omega. A 10V10V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _____ ×10−2J\times {10}^{-2}JJEE Main/Numerical/Medium/Inductance
  106. 106The energy of an electromagnetic wave contained in a small volume oscillates withJEE Main/MCQ/Medium/Inductance
  107. 107For the plane electromagnetic wave given by E=E0sin⁡(ωt–kx)E={E}_{0}\sin (\omega t–kx) and B=B0sin⁡(ωt−kx),B={B}_{0}\sin (\omega t-kx), the ratio of average electric energy density to average magnetic energy density isJEE Main/MCQ/Medium/Inductance
  108. 108Two coils of self inductance L1{L}_{1} and L2{L}_{2} are connected in series combination having mutual inductance of the coils as MM. The equivalent self inductance of the combination will be
    JEE Main/MCQ/Medium/Inductance/With diagram
  109. 109Consider an electrical circuit containing a two way switch S.S. Initially SS is open and then T1{T}_{1} is connected to T2.{T}_{2}. As the current in R=6ΩR=6\Omega attains a maximum value of steady-state level, T1{T}_{1} is disconnected from T2{T}_{2} and immediately connected to T3.{T}_{3}. Potential drop across r=3Ωr=3\Omega resistor immediately after T1{T}_{1} is connected to T3{T}_{3} is ______V. (Round off to the Nearest Integer)
    JEE Main/Numerical/Medium/Inductance/With diagram
  110. 110A coil of self inductance 10mH10mH and resistance of 0.1Ω0.1\Omega is connected through a switch to a battery of internal resistance 0.9Ω0.9\Omega . After the switch is closed, the time taken for the current to attain 8080% of the saturation value is: [ln⁡5=1.6][\ln 5=1.6]JEE Main/MCQ/Medium/Inductance
  111. 111The self induced emf of a coil is 2525 volts. When the current in it is changed at uniform rate from 10A10A to 25A25A in 1s1s , the change in the energy of the inductance is:JEE Main/MCQ/Medium/Inductance
  112. 112An ideal capacitor of capacitance 0.2μF0.2 \mu \mathrm{F} is charged to a potential difference of 10 V10 \mathrm{~V}. The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance 0.5mH0.5 \mathrm{mH}. The current at a time when the potential difference across the capacitor is 5 V5 \mathrm{~V}, is:JEE Main/MCQ/Medium/Inductance
  113. 113In the circuit shown below, the key K\mathrm{K} is closed at t=0\mathrm{t}=0. The current through the battery is
    JEE Main/MCQ/Medium/Inductance/With diagram
  114. 114The inductance between A and D is
    JEE Main/MCQ/Medium/Inductance/With diagram
  115. 115A 3030 cm long solenoid has 1010 turns per cm and area of 55 cm2^2. The current through the solenoid coil varies from 22 A to 44 A in 3.143.14 s. The e.m.f. induced in the coil is α×10−5\alpha\times 10^{-5} V. The value α\alpha is ________.JEE Main/MCQ/Medium/Self and Mutual Inductance
  116. 116A circular current loop of radius RR is placed inside square loop of side length LL (L>>R)(L \gt \gt R) such that they are co-planar and their centers coincide. The permeability of free space is μ0\mu_0. The mutual inductance between circular loop and square loop is _______.JEE Main/MCQ/Medium/Self and Mutual Inductance
  117. 117Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length, carries a current I=10sin⁡(ωt)AI=10 \sin (\omega \mathrm{t}) \mathrm{A}, where ω=1000rad./s\omega=1000 \mathrm{rad}. / \mathrm{s}. A circular conducting loop (B)(B) of radius 1 cm coaxially slided through the solenoid at a speed v=1 cm/sv=1 \mathrm{~cm} / \mathrm{s}. The r.m.s. current through the loop when the coil BB is inserted 10 cm inside the solenoid is α/2μ A\alpha / \sqrt{2} \mu \mathrm{~A}. The value of α\alpha is ____\_\_\_\_.
    [Resistance of the loop     =10Ω=10 \Omega ]    JEE Main/MCQ/Medium/Self and Mutual Inductance
  118. 118Three identical coils C1,C2C_{1}, C_{2} and C3C_{3} are closely placed such that they share a common axis. C2C_{2} is exactly midway. C1C_{1} carries current II in anti-clockwise direction while C3C_{3} carries current II in clockwise direction. An induced current flows through C2C_{2} will be in clockwise direction whenJEE Main/MCQ/Medium/Self and Mutual Inductance
  119. 119Consider \(\mathrm{I}_1\) and \(\mathrm{I}_2\) are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If \(\mathrm{L}_1=\) self inductance of coil \(1, \mathrm{M}_{12}=\) mutual inductance of coil 1 with respect to coil 2, then the value of induced emf in coil 1 will be
    Options    JEE Main/MCQ/Medium/Self and Mutual Inductance
  120. 120Regarding self-inductance:
    A. The self-inductance of the coil depends on its geometry.
    B. Self-inductance does not depend on the permeability of the medium.
    C. Self-induced e.m.f. opposes any change in the current in a circuit.
    D. Self-inductance is electromagnetic analogue of mass in mechanics.
    E. Work needs to be done against self-induced e.m.f. in establishing the current.

    Choose the correct answer from the options given below:    JEE Main/MCQ/Medium/Self and Mutual Inductance
  121. 121When a coil is connected across a 20 V20 \mathrm{~V} dc supply, it draws a current of 5 A5 \mathrm{~A}. When it is connected across 20 V,50 Hz20 \mathrm{~V}, 50 \mathrm{~Hz} ac supply, it draws a current of 4 A4 \mathrm{~A}. The self inductance of the coil is ______ mH\mathrm{mH}. (( Take π=3\pi=3 )JEE Main/Numerical/Medium/Self and Mutual Inductance
  122. 122In a coil, the current changes from −2 A-2 \mathrm{~A} to +2 A+2 \mathrm{~A} in 0.2 s0.2 \mathrm{~s} and induces an emf of 0.1 V0.1 \mathrm{~V}. The self inductance of the coil is :JEE Main/MCQ/Medium/Self and Mutual Inductance
  123. 123The current in an inductor is given by I=(3t+8)\mathrm{I}=(3 \mathrm{t}+8) where t\mathrm{t} is in second. The magnitude of induced emf produced in the inductor is 12mV12 \mathrm{mV}. The self-inductance of the inductor _____ mH\mathrm{mH}.JEE Main/Numerical/Medium/Self and Mutual Inductance
  124. 124Two conducting circular loops A and B are placed in the same plane with their centers coinciding as shown in figure. The mutual inductance between them is :
    JEE Main/MCQ/Medium/Self and Mutual Inductance/With diagram
  125. 125A small square loop of wire of side ll is placed inside a large square loop of wire of side LL(L=l2)\left(L={l}^{2}\right). The loops are coplanar and their centers coincide. The value of the mutual inductance of the system is x×10−7H\sqrt{x}\times {10}^{-7}H, where x=x=______.JEE Main/Numerical/Medium/Self and Mutual Inductance
  126. 126Two coils have mutual inductance 0.002H0.002H. The current changes in the first coil according to the relation i=i0sinωti={i}_{0}sin\omega t, where i0=5A{i}_{0}=5A and ω=50π\omega =50\pi rads−1rad{s}^{-1}. The maximum value of emfemf in the second coil is παV\dfrac{\pi }{\alpha }V. The value of α\alpha isJEE Main/Numerical/Medium/Self and Mutual Inductance
  127. 127Two concentric circular coils with radii 1cm1cm and 1000cm1000cm and number of turns 1010 and 200200 respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be _____ ×10–8H\times {10}^{–8}H. (Take, π2=10{\pi }^{2}=10)JEE Main/Numerical/Medium/Self and Mutual Inductance
  128. 128Find the mutual inductance in the arrangement, when a small circular loop of wire of radius RR is placed inside a large square loop of wire of side L(L≫R)L(L≫R). The loops are coplanar and their centres coincide :
    JEE Main/MCQ/Medium/Self and Mutual Inductance/With diagram
  129. 129A small square loop of wire of side ll is placed inside a large square loop of wire L(L≫l)L\left(L≫l\right). Both loops are coplanar and their centres coincide at point OO as shown in figure. The mutual inductance of the system is
    JEE Main/MCQ/Medium/Self and Mutual Inductance/With diagram
  130. 130The current in a coil of self inductance L=2.0HL=2.0H is increasing according to the law i=2sin⁡(t2)i=2\sin \left({t}^{2}\right). Find the amount of energy spent (in JJ) during the period when the current changes from 00 to 2A2A.JEE Main/Numerical/Medium/Self and Mutual Inductance
  131. 131A small square loop of side aa and one turn is placed inside a larger square loop of side bb and one turn (b≫a).(b≫a). The two loops are coplanar with their centres coinciding. If a current II is passed in the square loop of side b,b, then the coefficient of mutual inductance between the two loops is :JEE Main/MCQ/Medium/Self and Mutual Inductance
  132. 132An inductance coil has a reactance of 100Ω100\Omega . When an AC signal of frequency 1000Hz1000Hz is applied to the coil, the applied voltage leads the current by 45∘45^{\circ}. The self-inductance of the coil isJEE Main/MCQ/Medium/Self and Mutual Inductance
  133. 133In a fluorescent lamp choke (a small transformer) 100V100V of reverse voltage is produced when the choke current changes uniformly from 0.25A0.25A to 00 in a duration of 0.025ms0.025ms . The self-inductance of the choke (in mHmH ) is estimated to be ________JEE Main/Numerical/Medium/Self and Mutual Inductance
  134. 134The total number of turns and cross-section area in a solenoid is fixed. However, its length LL is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to:JEE Main/MCQ/Medium/Self and Mutual Inductance
  135. 135A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3,3, keeping the number of turns of the coil per unit length of the frame the same, then the self inductance of the coil:JEE Main/MCQ/Medium/Self and Mutual Inductance
  136. 136There are two long co-axial solenoids of same length ll. The inner and outer coils have radii r1r_{1} and r2r_{2} and number of turns per unit length n1\mathrm{n}_{1} and n2\mathrm{n}_{2}, respectively. The ratio of mutual inductance to the self-inductance of the inner-coil is :JEE Main/MCQ/Medium/Self and Mutual Inductance
  137. 137When the current in a coil changes from 5 A\text{5 A} to 2 A\text{2 A} in 0.1 s\text{0}\text{.1 s}, an average voltage of 50V\text{50} \text{V} is produced. The self-inductance of the coil isJEE Main/MCQ/Medium/Self and Mutual Inductance
  138. 138Two coils, X\mathrm{X} and Y\mathrm{Y}, are kept in close vicinity of each other. When a varying current, I(t)I(t), flows through coil X\mathrm{X}, the induced emf⁡(V(t))\operatorname{emf}(V(t)) in coil Y\mathrm{Y}, varies in the manner shown here. The variation of I(t)I(t), with time, can then be represented by the graph labelled as graph :


    (A)

    (B)

    (C)

    (D)    JEE Main/MCQ/Medium/Self and Mutual Inductance/With diagram
  139. 139This 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: Self inductance of a long solenoid of length     LL, total number of turns N\mathrm{N} and radius r\mathrm{r} is less than πμ0N2r2L\frac{\pi \mu_0 N^2 r^2}{L}.
    Statement 2: The magnetic induction in the solenoid in Statement 1 carrying current     II is μ0NIL\frac{\mu_0 N I}{L} in the middle of the solenoid but becomes less as we move towards its ends.    JEE Main/MCQ/Medium/Self and Mutual Inductance
  140. 140Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross sectional area A=A= 10 cm210 \mathrm{~cm}^2 and length =20 cm=20 \mathrm{~cm}. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is (μ0=4π×10−7TmA−1)\left(\mu_0=4 \pi \times 10^{-7} \mathrm{Tm} \mathrm{A}^{-1}\right)JEE Main/MCQ/Medium/Self and Mutual Inductance
  141. 141The self inductance of the motor of an electric fan is 10H10 \mathrm{H}. In order to impart maximum power at 50 Hz50 \mathrm{~Hz}, it should be connected to a capacitance ofJEE Main/MCQ/Medium/Self and Mutual Inductance
  142. 142When the current changes from +2 A+2 \mathrm{~A} to −2 A-2 \mathrm{~A} in 0.050.05 second, an e.m.f. of 8 V8 \mathrm{~V} is induced in a coil. The coefficient of self-induction of the coil isJEE Main/MCQ/Medium/Self and Mutual Inductance
  143. 143Two coils are placed close to each other. The mutual inductance of the pair of coils depends uponJEE Main/MCQ/Medium/Self and Mutual Inductance
  144. 144An inductor of inductance 1010 mH having resistance of 100 Ω100\,\Omega is connected to battery of E.M.F. 1.01.0 V through a switch as shown in the figure below. After switch is closed, the ratio of instantaneous voltages across the inductor when the current passing through it is 22 mA and 44 mA is _______.
    JEE Main/MCQ/Medium/LR Circuit/With diagram
  145. 145Figure shows the circuit that contains three resistances (9Ω9 \Omega each) and two inductors (4 mH each). The reading of ammeter at the moment switch KK is turned ON, is ____\_\_\_\_ A.
    JEE Main/MCQ/Medium/LR Circuit/With diagram
  146. 146

    In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of     8 A/s8 \mathrm{~A} / \mathrm{s}. At an instant when R is 12Ω12 \Omega, the value of the current in the circuit will be ______ A.    JEE Main/Numerical/Medium/LR Circuit/With diagram
  147. 147As per the given figure, if dIdt=−1As−1\dfrac{dI}{dt}=-1A{s}^{-1}, then the value of VAB{V}_{AB} at this instant will be ______ VV.
    JEE Main/Numerical/Medium/LR Circuit/With diagram
  148. 148For the given circuit the current through battery of 6V6V just after closing the switch 'SS' will be _____ AA.
    ​​​​​​​    JEE Main/Numerical/Medium/LR Circuit/With diagram
  149. 149In a series LRLR circuit XL=R{X}_{L}=R and power factor of the circuit is P1{P}_{1}. When capacitor with capacitance CC such that XL=XC{X}_{L}={X}_{C} is put in series, the power factor becomes P2{P}_{2}. The ratio P1P2\dfrac{{P}_{1}}{{P}_{2}} isJEE Main/MCQ/Medium/LR Circuit
  150. 150For the given circuit the current ii through the battery when the key in closed and the steady state has been reached is
    JEE Main/MCQ/Medium/LR Circuit/With diagram
  151. 151An inductor of inductance L=400mH\mathrm{L}=400 \mathrm{mH} and resistors of resistances R1\mathrm{R}_1 =2Ω=2 \Omega and R2=2ΩR_2=2 \Omega are connected to a battery of emf 12 V12 \mathrm{~V} as shown in the figure. The internal resistance of the battery is negligible. The switch SS is closed at t=0t=0. The potential drop across LL as a function of time is
    JEE Main/MCQ/Medium/LR Circuit/With diagram
  152. 152An ideal coil of 10H10 \mathrm{H} is connected in series with a resistance of 5Ω5 \Omega and a battery of 5 V5 \mathrm{~V}.
    22 second after the connection is made the current flowing in amperes in the circuit is    JEE Main/MCQ/Medium/LR Circuit
  153. 153A coil of inductance 300mH300 \mathrm{mH} and resistance 2Ω2 \Omega is connected to a source of voltage 2V. The current reaches half of its steady state value inJEE Main/MCQ/Medium/LR Circuit

NEET question paper PDF

This chapter includes NEET questions. Open a year to read the full paper, or download the PDF.

NEET 2025 question paper (Code 45)

Open Download PDF

Opening paper…

JEE Main question paper PDF

This chapter includes JEE Main questions. Open a shift to read the paper, or download the PDF.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Other Physics chapters

Current Electricity 380Electrostatics 311Kinematics 308Ray Optics 295Rotational Motion 280Magnetic Effects & Magnetism 276Atoms & Nuclei 239Gravitation 223Laws of Motion 210Semiconductors 209Dual Nature of Matter 200Oscillations 194Fluid Mechanics 192Wave Optics 191Alternating Current 190Thermodynamics 190Work Energy Power 183Capacitors 180Kinetic Theory 168Electromagnetic Waves 165Units & Dimensions 149Waves 142Center of Mass, Momentum & Collision 130Thermal Properties of Matter 126Mathematics in Physics 121Mechanical Properties of Solids 118Experimental Physics 70Magnetic Properties of Matter 57Modern Physics 5

Stuck on a Electromagnetic Induction question from your book?

Snap it and get a whiteboard video that solves it step by step. Your first video needs no login.

Scan a doubtView plans