AIIMS2019Physics-Electrostatics

AIIMS 2019 Physics Capacitors and Dielectrics MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A capacitor is connected to a battery of voltage VV. Now a dielectric slab of dielectric constant kk is completely inserted between the plates, then the final charge on the capacitor will be: (If initial charge is q0q_0)

A

ε0AdV\frac{\varepsilon_0 A}{d}V

B

kε0AdV\frac{k\varepsilon_0 A}{d}V

C

ε0AkdV\frac{\varepsilon_0 A}{kd}V

D

zero

Correct Answer

Option B

Detailed Explanation

When a dielectric material with a dielectric constant kk is inserted into a capacitor, the charge on the capacitor increases due to the polarization of the dielectric, which enhances the capacitance. The new charge qq can be expressed as q=kq0q = kq_0, where q0q_0 is the initial charge, leading to the alternative expression q=kε0AdVq = \frac{k\varepsilon_0 A}{d} V (option B). Other options are incorrect as they either fail to account for the dielectric effect or do not represent the relationship between charge and capacitance accurately. Understanding this concept is crucial, as it illustrates how dielectrics influence electric fields and capacitance in capacitors.

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