Question

Column-I gives certain situations in which capacitance of a capacitor is changed by different means. Column-II gives resulting effect under different conditions. Match the statements in column-I with the corresponding statements in column-II

Answer 1

(A) $E=\frac{Q}{A{\epsilon }_0}$ or $E=\frac{V}{d}$

for $Q=const.$

$E=const.$

If $V=const.$ and d increases.

$\Rightarrow$ E decreases (s, t)

(B) $U=\frac{Q^2}{2C}$ or $U=\frac{1}{2}C{V}^2$

If the plates are pulled apart, C decreases.

$\Rightarrow$ Q = const.

U increases

for V = const.

U decreases. (p, s)

(C) On insertion of a dielectric, the capacitance of a capacitor always increases. (p, r)

(D) $U=\frac{Q^2}{2C}$ or $U=\frac{1}{2}C{V}^2$

for Q = const.

U = decreases

for V = const.

U increases. (q, r)