Question

When air is replaced by a dielectric medium of constant $K$, the capacity of the condenser:

• A. increases $K$ times
• B. increases $K^2$ times
• C. remains unchanged
• D. decreases $K$ times

Answer 1

The correct option is A increases $K$ times

We know, capacity: $C=\frac{{\epsilon }_{0}A}{d}$
Now when air is replaced by dielectric medium of constant $k$
$C^{\prime }=\frac{K{\epsilon }_{0}A}{d}$

This implies that the capacitance increases $K$ times.