Question

Two capacitors connected in parallel having the capacities $C_1$ and $C_2$ are given ${}^{\prime }{q}^{\prime }$ charge, which is distributed among them. The ratio of the charge on $C_1$ and $C_2$ will be :

• A. $\frac{C_1}{C_2}$
• B. $\frac{C_2}{C_1}$
• C. $C_1{C}_2$
• D. $\frac{1}{C_1{C}_2}$

Answer 1

Answer: (A)

$\frac{C_1}{C_2}$

In case of parallel connection, the potential difference across both of them will be same.

For first capacitor, potential difference is,

$V=\frac{q_1}{C_1}$

Similarly, for second capacitor,

$V=\frac{q_2}{C_2}$

Thus,

$\frac{q_1}{C_1}=\frac{q_2}{C_2}$

$\frac{q_1}{q_2}=\frac{C_1}{C_2}$