Question

Three capacitors $C_1,C_2$ and $C_3$ are connected to a battery as shown in the figure. The three capacitors have equal capacitances. Which capacitor stores the most energy?

• A. $C_1$ or $C_3$as they store the same amount of energy
• B. All three capacitors store the same amount of energy
• C. $C_1$
• D. $C_2$

Answer 1

The correct option is C $C_1$

$C_1$ is directly connected across cell, so potential difference across $C_1=V$
Since, $C_2$ and $C_3$ are connected in series across the cell , total potential difference will get distributed between $C_2$ and $C_3$ equally because $C_2=C_3$

$\therefore$ Potential difference across $C_2=$ potential difference across $C_3=\frac{V}{2}$

Now we know that energy stored in capacitor $=\frac{1}{2}C{V}^2$ energy stored $\propto V^2$

$\therefore$ Energy stored in $C_1$ is maximum.
Hence, option (c) is correct.