A parallel plate capacitor of area A , plate separation d and capacitance C is filled with three dif

English

Gujarati

Hindi

2. Electric Potential and Capacitance

hard

A parallel plate capacitor of area $A$, plate separation $d$ and capacitance $C$ is filled with three different dielectric materials having dielectric constants ${k_1},{k_2}$ and ${k_3}$ as shown. If a single dielectric material is to be used to have the same capacitance $C$ in this capacitor, then its dielectric constant $k$ is given by

A

$\frac{1}{k} = \frac{1}{{{k_1}}} + \frac{1}{{{k_2}}} + \frac{1}{{2{k_3}}}$

B

$\frac{1}{k} = \frac{1}{{{k_1} + {k_2}}} + \frac{1}{{2{k_3}}}$

C

$k = \frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}} + 2{k_3}$

D

$k = {k_1} + {k_2} + 2{k_3}$

(IIT-2000)

Solution

Solution is Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

Standard 12

Physics

Share

Similar Questions

A parallel plate condenser with oil between the plates (dielectric constant of oil $K = 2$) has a capacitance $C$. If the oil is removed, then capacitance of the capacitor becomes

easy

(AIPMT-1999)

A parallel plate capacitor with air between the plates has a capacitance of $9\,pF$. The separation between its plates is $'d'$. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $K_1=3$ and thickness $\frac {d}{3}$ while the other one has dielectric constant $K_2 = 6$ and thickness $\frac {2d}{3}$ . Capacitance of the capacitor is now……..$pF$

medium

Explain the effect of dielectric on capacitance of parallel plate capacitor and obtain the formula of dielectric constant.

medium

What will be the capacity of a parallel-plate capacitor when the half of parallel space between the plates is filled by a material of dielectric constant ${\varepsilon _r}$ ? Assume that the capacity of the capacitor in air is $C$

medium

An air capacitor is connected to a battery. The effect of filling the space between the plates with a dielectric is to increase

easy