Question 506: Electrostatics & Capacitance

Question

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

Accepted Answer

The two condensers are in parallel. Their equivalent capacitance is $$\mathrm{C}_{\mathrm{c}}=\mathrm{C}+\frac{\mathrm{C}}{2}=\frac{3 \mathrm{C}}{2}$$
The formula for work done is
$$\begin{aligned}
& \mathrm{W}=\frac{1}{2} \mathrm{C}_{\mathrm{e}} \mathrm{V}^2 \
& \mathrm{~W}=\frac{1}{2}\left(\frac{3 \mathrm{C}}{2}ight) \mathrm{V}^2 \
& \mathrm{~W}=\frac{3}{4} \mathrm{CV}^2
\end{aligned}$$

Answer

$$\frac{1}{2}$$ CV$$^2$$

Answer

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

Answer

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

Answer

$${2}$$ CV$$^2$$

Electrostatics & Capacitance

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

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