Question

A $10\mu F$ capacitor is charged to $10V$ and disconnected from the battery. If another uncharged $10\mu F$ capacitor is connected across it in parallel the voltage across the combination will be:

• A. $5V$
• B. $10V$
• C. $20V$
• D. $0$

Answer 1

Answer: (A)

$5V$

We know that:

Common potential difference, $V_C=\frac{V_1{C}_1+V_2{C}_2}{C_1+C_2}$
Here, $V_2=0$

$\Rightarrow V_C=\frac{10\times 10\times {10}^{-6}}{(10+10)\times {10}^{-6}}=5V$