Question

Two capacitors of capacities $C$ and $2\,C$ are connected in parallel and then connected in series with a third capacitor of capacity $3\,C$. The combination is charged with $V$ volt. The charge on capacitor of capacity $C$ is

• A. $\frac{1}{2}CV$
• B. $CV$
• C. $2CV$
• D. $\frac{3}{2}CV$

Answer 1

Answer: (A)

In parallel combination, the potential difference across each individual capacitor is the same as the potenital difference across the combination.
So, potential difference across capacitor of capacity $C$ is $\frac{V}{2}$.
Charge on capacitor, $C=\frac{Q}{V}$
$\therefore $ Charge on capacitor of capacity $C=\frac{CV}{2}$