Two capacitors,one of capacity frac{C}{2} and | vedclass

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(B) The two capacitors are connected in parallel to the battery.In a parallel combination,the equivalent capacitance $C_{eq}$ is the sum of individual

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$\frac{3}{4} CV^2$

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(B) The two capacitors are connected in parallel to the battery.In a parallel combination,the equivalent capacitance $C_{eq}$ is the sum of individual capacitances:$C_{eq} = C + \frac{C}{2} = \frac{3C}{2}$The work done $W$ by the battery to charge the capacitors is equal to the energy stored in the equivalent capacitor:$W = \frac{1}{2} C_{eq} V^2$Substituting the value of $C_{eq}$:$W = \frac{1}{2} \left( \frac{3C}{2} \right) V^2$$W = \frac{3}{4} CV^2$

Two capacitors,one of capacity $\frac{C}{2}$ and the other of capacity $C$,are connected to a battery of voltage $V$ as shown. The work done in charging both the capacitors fully is

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