Two capacitors of capacitances, \( C_1 \) and \( C_2 \), are connected in parallel. If two-third of the total charge is shared by capacitor \( C_1 \), the ratio of \( C_1 \) to \( C_2 \) is given by
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2 : 1
In a parallel combination both capacitors have the same potential difference \( V \), so the charge on each is \( Q = CV \) and is proportional to its capacitance.
\( Q_1 = 2Q/3 \)
\( Q_2 = Q - 2Q/3 = Q/3 \)
\( \displaystyle \frac{C_1}{C_2} = \frac{Q_1/V}{Q_2/V} = \frac{Q_1}{Q_2} = \frac{2/3}{1/3} = 2 \)
So \( C_1 : C_2 = 2 : 1 \).