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(D) The two capacitors are connected in parallel to the battery of potential $V$.The equivalent capacitance $C_{eq}$ for capacitors in parallel is giv

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

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(D) The two capacitors are connected in parallel to the battery of potential $V$.The equivalent capacitance $C_{eq}$ for capacitors in parallel is given by $C_{eq} = C_1 + C_2$.Here,$C_{eq} = C + \frac{C}{2} = \frac{3C}{2}$.The work done $W$ in charging a capacitor is equal to the energy stored in the capacitor,which is given by $W = \frac{1}{2} C_{eq} V^2$.Substituting the value of $C_{eq}$,we get $W = \frac{1}{2} \left( \frac{3C}{2} \right) V^2 = \frac{3}{4} CV^2$.

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

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