Capacitance JEE Main 2025 | Dielectric Half-Filled Capacitor

JEE MAIN 2025

03-04-2025 SHIFT-1

Question

A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants ${\varepsilon _1}$ and ${\varepsilon _2}$ , as shown in figures. The distance between the plates is d and area of each plate is A. If capacitance in first configuration and second configuration are ${{\rm{C}}_1}$ and ${{\rm{C}}_2}$ respectively, then $\frac{{{C_1}}}{{{C_2}}}$ is
First Configuration

Second Configuration

Select the correct option:

A

$\frac{{{\varepsilon _1}\varepsilon _2^2}}{{{{\left( {{\varepsilon _1} + {\varepsilon _2}} \right)}^2}}}$

B

$\frac{{{\varepsilon _1}{\varepsilon _2}}}{{{\varepsilon _1} + {\varepsilon _2}}}$

C

$\frac{{4{\varepsilon _1}{\varepsilon _2}}}{{{{\left( {{\varepsilon _1} + {\varepsilon _2}} \right)}^2}}}$

D

$\frac{{{\varepsilon _0}\left( {{\varepsilon _1} + {\varepsilon _2}} \right)}}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Hard

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