Q. A 2$\mu F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $s$ is turned to positions 2 is

A) 0 %
B) 20 %
C) 75%
D) 80%
Explanation

(d) $q_{i} = C_{i}V = 2V = q$ (say)
This charge will remain constant after switch is shifted from position 1 to position 2.
$U_{i} = \frac{1}{2}\frac{q^{2}}{C_{i}} = \frac{q^{2}}{2 \times 2} = \frac{q^{2}}{4}$
$U_{i} = \frac{1}{2}\frac{q^{2}}{C_{i}} = \frac{q^{2}}{2 \times 10} = \frac{q^{2}}{20}$
$\therefore$Energy dissipated$\ \left( \frac{q^{2}}{5} \right)is\ $80% of the initial stored energy $\left( = \frac{q^{2}}{4} \right)$.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.