Question

A capacitor is charged and battery is disconnected. Now the distance between the plates id increased slightly.

• A. Force between the plates will decrease
• B. The potential difference between the plates will increase.
• C. Potential difference between the plates will decrease.
• D. None of these.

Answer 1

The correct option is B The potential difference between the plates will increase.

If the capacitor is connected across a battery$,$ the voltage will stay constant at the battery voltage$.$

If the capacitor is charged and disconnected$,$ the voltage will rise $.$ Assume the capacitor holds charge $Q,$ then

$Q=CVorV=\frac{Q}{C}$

Separating the plates reduces $C,$ so if $Q$ remains constant $V$ must increase proportionally$.$

Hence,

option $\left(B\right)$ is correct answer.