The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in the figure,will be (area of plate $= A$)

  • A
    $\frac{{\varepsilon _0}A}{{\left( {\frac{{{d_1}}}{{{K_1}}} + \frac{{{d_2}}}{{{K_2}}} + \frac{{{d_3}}}{{{K_3}}}} \right)}}$
  • B
    $\frac{{\varepsilon _0}A}{{\left( {\frac{{{d_1} + {d_2} + {d_3}}}{{{K_1} + {K_2} + {K_3}}}} \right)}}$
  • C
    $\frac{{\varepsilon _0}A({K_1}{K_2}{K_3})}{{{d_1}{d_2}{d_3}}}$
  • D
    ${\varepsilon _0}\left( {\frac{{A{K_1}}}{{{d_1}}} + \frac{{A{K_2}}}{{{d_2}}} + \frac{{A{K_3}}}{{{d_3}}}} \right)$

Explore More

Similar Questions

$A$ capacitor of $10 \mu F$ capacitance,whose plates are separated by $10 \text{ mm}$ through air and each plate has an area of $4 \text{ cm}^2$,is now filled equally with two dielectric media of $K_1=2$ and $K_2=3$ respectively,as shown in the figure. If the new force between the plates is $8 \text{ N}$,the supply voltage is . . . . . . $V$.

$A$ parallel plate capacitor with air medium between the plates has a capacitance of $10 \mu F$. The area of the capacitor is divided into two equal halves and filled with two media (as shown in the figure) having dielectric constants $K_1=2$ and $K_2=4$. The capacitance of the system will be (in $\mu F$)

Two identical parallel plate air capacitors are connected in series to a battery of e.m.f. $V$. If one of the capacitors is inserted in a liquid of dielectric constant $K$,then the potential difference across the other capacitor will become:

$A$ parallel plate capacitor $C$ with plates of unit area and separation $d$ is filled with a liquid of dielectric constant $K=2$. The initial level of the liquid is $\frac{d}{3}$. Suppose the liquid level decreases at a constant speed $V$. Find the time constant $\tau$ as a function of time $t$.

$A$ parallel plate capacitor has a parallel sheet of copper inserted between and parallel to the two plates,without touching the plates. The capacity of the capacitor after the introduction of the copper sheet is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo