2. Electric Potential and Capacitance
medium

A capacitor is connected to a battery of voltage $V$. Now a di electric slab of dielectric constant $k$ is completely inserted between the plates, then the final charge on the capacitor will be

(If initial charge is $q_{0}$ )

A

$\frac{\varepsilon_{0} A}{d} V$

B

$\frac{k \varepsilon_{0} A}{d} V$

C

$\frac{\varepsilon_{0} A}{k d} V$

D

zero

(AIIMS-2019)

Solution

The initial charge on the capacitor is,

$q_{0}=C_{0} V$

$=\frac{\varepsilon_{0} A}{d} V$

The charge on the capacitor when di$-$electric is inserted is,

$q=k q_{0}$

$=\frac{k \varepsilon_{0} A}{d} V$

Standard 12
Physics

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