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
![](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m59dvjhx/67c539d4-a5f0-420c-b49c-bc6f42c34c16/ce296a50-c5c3-11ef-9ad1-6d283e3c94c4/file-jaoe38c1m59dvjhy.png?format=png)

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

Choose the correct answer: