If the plates of a parallel plate capacitor connected to a battery are moved close to each other, th

Question

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then\ A. the charge stored in it, increases. \ B. the energy stored in it, decreases. \ C. its capacitance increases. \ D. the ratio of charge to its potential remains the same. \ E. the product of charge and voltage increases.\ Choose the most appropriate answer from the options given below.

Professor PC Thomas Classes · Answer

(b) : Since a battery is connected, so $V$ is constant. $C=\frac{\varepsilon_0 A}{d} ; q=C V$ and, energy stored $U=\frac{1}{2} C V^2$ As $d$ decreases, $C$ increase, so, $q$ increases. Energy stored in the capacitor also increases with increase in capacitance $C$. Hence, option (b) is correct.