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  4. The figure shows four identical conducting plates each of area A. The separation between the consecutive plates is equal to L. When both the switches are closed, the charge present on the upper surface of the lowest plate from the top is written as (x V0 ε0 A/L). What is the value of x ? (Treat symbols as having usual meaning.)

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Q. The figure shows four identical conducting plates each of area $A$. The separation between the consecutive plates is equal to $L$. When both the switches are closed, the charge present on the upper surface of the lowest plate from the top is written as $\frac{x V_{0} \varepsilon_{0} A}{L}$. What is the value of $x ?$
(Treat symbols as having usual meaning.)Physics Question Image

Electrostatic Potential and Capacitance

Solution:

image
$C\left(x-V_{0}\right)+C(x-0)+C\left(x+4 V_{0}\right)=0$
$3 C x=-3 C V_{0}$
$Q=\frac{3 V_{0} \varepsilon_{0} A}{I}$
$\Rightarrow x=3$