Question

Two condensers of capacities $C$ farad and $2C$ farad are connected in parallel and then connected in series with a third condenser of capacity $3C$ farad. The combination is charged with $V$ volt. The charge (in coulomb) on condenser of capacity $C$ farad is:

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

Answer 1

The correct option is C $\frac{CV}{2}$

$Q=\frac{3C}{2}V$

$\frac{Q_1}{Q_2}=\frac{C}{2C}=\frac{1}{2}$

$\frac{Q_1}{Q_1+Q_2}=\frac{1}{1+2}=\frac{1}{3}$

$\frac{Q_1}{\frac{3CV}{2}}=\frac{1}{3}$

$R_2=\frac{CV}{2}$