Q.
Two capacitors $C_{1}$ and $C_{2} = 2C_{1}$ are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and $C_{1}$ holds charge $Q.$ The switch is closed. At steady state, the charge on each capacitor will be
A) $Q,\ 2Q$
B) $Q/3,\ 2Q/3$
C) $3Q/2,\ 3Q$
D) $2Q/3,\ 4Q/3$
Explanation
(b) In steady state charge on $C_{1}$ is
$Q_{1} = \left( \frac{C_{1}}{C_{1} + C_{2}} \right) \times Q = \frac{Q}{3}$
and charge on $C_{2}$ is $Q_{2} = \left( \frac{C_{2}}{C_{1} + C_{2}} \right).Q = \frac{2}{3}Q$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.