Capacitors

JEE Main level, single correct, medium

5 of 180

Question 5 of 180

Identify 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 :

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Answer: (D) A, C and D Only

A. Effective capacitance of series combination is always smaller than the smallest capacitance - TRUE. For series: 1Ceff=1C1+1C2+…\frac{1}{C_{eff}} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots, therefore Ceff<CminC_{eff} \lt C_{min}
B. Dielectric prevents charge displacement - FALSE. A dielectric allows polarization (displacement of bound charges) but prevents free charge movement. It does not prevent displacement of bound charges.

C. Increasing area or decreasing thickness increases capacitance - TRUE. From
C=ε0εrAdC = \frac{\varepsilon_0 \varepsilon_r A}{d}, increasing AA or decreasing dd increases CC.
D. Concentric spherical shells centered at a point charge location are equipotential surfaces - TRUE. For a point charge, the potential at distance
rr is V=kqrV = \frac{kq}{r}, which depends only on distance, making concentric spheres equipotential surfaces.
Correct statements: A, C, D

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