Question 15: Electrostatics & Capacitance

Question

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

Accepted Answer

The two capacitors are in parallel.
The equivalent capacitance $C^{\prime}=C+\frac{C}{2}=\frac{3 C}{2}$
Work done in charging the equivalent capacitor is stored in the form of potential energy.
$\begin{aligned}
W & =U=\frac{1}{2} C^{\prime} V^2 \
& =\frac{1}{2} 	imes \frac{3 C}{2} 	imes V^2 \
& =\frac{3}{4} C V^2
\end{aligned}$

Answer

$2 C V^2$

Answer

$\frac{3}{4} C V^2$

Answer

$\frac{1}{2} C V^2$

Answer

$\frac{1}{4} C V^2$

Electrostatics & Capacitance

Two capacitors C and \frac{C}{2} are connected to a battery of V volts, as shown below The work done in charging both the capacitors fully is

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