A capacitor has air as dielectric medium and two conducting plates of area 12 mathrm{~cm}^2 and they

English

Gujarati

Hindi

2. Electric Potential and Capacitance

hard

A capacitor has air as dielectric medium and two conducting plates of area $12 \mathrm{~cm}^2$ and they are $0.6 \mathrm{~cm}$ apart. When a slab of dielectric having area $12 \mathrm{~cm}^2$ and $0.6 \mathrm{~cm}$ thickness is inserted between the plates, one of the conducting plates has to be moved by $0.2 \mathrm{~cm}$ to keep the capacitance same as in previous case. The dielectric constant of the slab is : (Given $\left.\epsilon_0=8.834 \times 10^{-12} \mathrm{~F} / \mathrm{m}\right)$

A

$1.50$

B

$1.33$

C

$0.66$

D

$1$

(JEE MAIN-2024)

Solution

$\frac{\mathrm{A} \varepsilon_{\mathrm{o}}}{\mathrm{d}}=\frac{\mathrm{A} \varepsilon_0}{\left(0.2+\frac{\mathrm{d}}{\mathrm{k}}\right)}$

$0.6=0.2+\frac{0.6}{\mathrm{k}}$

$\mathrm{k}=\frac{3}{2}$

Standard 12

Physics

Share

Similar Questions

A parallel plate capacitor is filled with $3$ dielectric materials of same thickness, as shown in the sketch. The dielectric constants are such that $k_3 > k_2 > k_1$. Let the magnitudes of the electric field in and potential drops across each dielectric be $E_3$, $E_2$,$ E_1$, $\Delta V_3$, $\Delta V_2$ and $\Delta V_1$, respectively. Which one of the following statement is true ?

hard

Two capacitors of capacities $2 {C}$ and ${C}$ are joined in parallel and charged up to potential ${V}$. The battery is removed and the capacitor of capacity $C$ is filled completely with a medium of dielectric constant ${K}$. The potential difference across the capacitors will now be

medium

(JEE MAIN-2021)

Write the formula of capacitance of capacitor having dielectric constant $\mathrm{K} = 2$.

easy

The outer sphere of a spherical air capacitor is earthed. For increasing its capacitance

easy

An uncharged parallel plate capacitor having a dielectric of constant $K$ is connected to a similar air-cored parallel capacitor charged to a potential $V$. The two share the charge and the common potential is $V'$. The dielectric constant $K$ is

medium