The figure shows a capacitor of capacitance $C$ connected to a battery via a switch, having a total charge…

The figure shows a capacitor of capacitance $C$ connected to a battery via a switch, having a total charge $Q$ on it, in steady-state. When the switch $S$ is turned from position $A$ to position $B$, the energy dissipated in the circuit is.
  1. 18Q2C
  2. 38Q2C
  3. 34Q2C
  4. 58Q2C

Solution

Q0=Cε

Q1C=Q23C        Q1+Q2=Q0

Q1=Q04; Q2=3Q04

Energy dissipated,
E=12Q0 2C-12Q1 2C-12Q2 23C

=12CQ02-Q0216-9Q023×16

=Q0232C16-1-3=38Q02C

Asked in: JEE Main 2019 (12 Jan Shift 1)

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