Question

Two capacitors of same capacity are connected in series with a d.c. source. $U_1$ is the total energy stored in the two capacitors. Now the two capacitors are connected in parallel with the same d.c source. $U_2$ is the total energy stored in the two capacitors. The $U_1$/$U_2$ is :

• A. 2/1
• B. 1/4
• C. 1/2
• D. 4/1

Answer 1

The correct option is B 1/4

$\begin{array}{c}{u}_1=\frac{1}{2}\left(\frac{c}{2}\right)v^2\\ =\frac{c{v}^2}{4}\\ and,\\ u_2=\frac{1}{2}\left(2c\right)v^2\\ =c{v}^2\\ now,\\ \frac{u_1}{u_2}=\frac{1}{4}\\ Hence,theoptionBiscorrect.\end{array}$