Question

Consider a circuit that contains only a capacitor and a battery. What is the effect of the decreasing the distance between the plates of the capacitor?
-The voltage between the plates will decrease.
-The capacitance of the capacitor will increase.
-The permittivity constant of the capacitor will increase.
-The amount of charge on the capacitor plates will decrease.

Answer 1

The capacitance of the capacitor will increase, B is the answer. :)

Answer 2

Explanation :

Given that a circuit contains only a capacitor and a battery. The capacitance of a parallel plate capacitor is given as :

$C=\dfrac{A\epsilon_0}{d}$

Where,

A is the area of the plates

d is the distance between the plates

$\epsilon_0$ is the permittivity of the dielectric

If the distance between the plates of the capacitor is decreased, the capacitance of the capacitor will increase.

Hence, the correct option is (B) "The capacitance of the capacitor will increase".