First slide

Kirchhoff's rules for capacitors

Question

Two plates, each of area A, are placed parallel to each other at a distance d. One plate is connected to a battery of emf E and its negative is earthed. The other plate is also earthed. The charge drawn by plate is

Moderate

A

$\frac{2 ε_{0} A E}{d}$
B

$\frac{ε_{0} A E}{d}$
C

$\frac{ε_{0} A E}{2 d}$
D

$\frac{3 ε_{0} A E}{d}$

Solution

The circuit can be redrawn as shown in figure. Charge on capacitor is
$Q = C E = \frac{ε_{0} A E}{d}$
Options 1 and 3 and 4 are incorrect.

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