A parallel plate capacitor with air between t | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The initial capacitance with air is $C = \frac{\varepsilon_0 A}{d} = 9 \, pF$.When the space is filled with two dielectrics of thickness $d_1 = d/

Vedclass · Accepted Answer

$40.5$

Vedclass · Answer

(C) The initial capacitance with air is $C = \frac{\varepsilon_0 A}{d} = 9 \, pF$.When the space is filled with two dielectrics of thickness $d_1 = d/3$ and $d_2 = 2d/3$,they act as two capacitors in series.The capacitance of the first part is $C_1 = \frac{K_1 \varepsilon_0 A}{d/3} = \frac{3 \varepsilon_0 A}{d/3} = 9 \frac{\varepsilon_0 A}{d} = 9 	imes 9 = 81 \, pF$.The capacitance of the second part is $C_2 = \frac{K_2 \varepsilon_0 A}{2d/3} = \frac{6 \varepsilon_0 A}{2d/3} = 9 \frac{\varepsilon_0 A}{d} = 9 	imes 9 = 81 \, pF$.Since they are in series,the equivalent capacitance $C'$ is given by $\frac{1}{C'} = \frac{1}{C_1} + \frac{1}{C_2}$.$\frac{1}{C'} = \frac{1}{81} + \frac{1}{81} = \frac{2}{81}$.$C' = \frac{81}{2} = 40.5 \, pF$.

Similar Questions

The structure of $H_2O_2$ is

In an $n$-type semiconductor,the Fermi energy level lies

$A$ family of curves has the differential equation $x y \frac{d y}{d x}=2 y^2-x^2$. Then,the family of curves is

Which of the following is $NOT$ a characteristic feature of the class $Mammalia$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module