Question

The capacity of a parallel plate air condenser is $2\mu F$. If a dielectric of dielectric constant $4$ is introduced between the plates, its new capacity is:

• A. $1.5\mu F$
• B. $0.5\mu F$
• C. $8\mu F$
• D. $6\mu F$

Answer 1

Answer: (C)

$8\mu F$

We know $C=\frac{{ϵ}_{0}A}{d}$
When dielectric is added:
$C^{\prime }=\frac{K{ϵ}_{0}A}{d}$$=4\times 2\mu F$$=8\mu F$