Question

A spark is produced between two insulated surfaces maintained at a potential difference of $5\times {10}^{6}V$. If the energy output is ${10}^{-5}J$, the charge transferred during the spark is :

• A. $5\times {10}^{11}C$
• B. $5\times {10}^{-11}C$
• C. $2\times {10}^{12}C$
• D. $2\times {10}^{-12}C$

Answer 1

The correct option is D $2\times {10}^{-12}C$

We know that if a charge is transferred by potential diffrence of $\Delta V$,
Then, Work done $W=q\Delta V$
$\Rightarrow {10}^{-5}=q\times 5\times {10}^6$
$\Rightarrow q=\frac{1}{5}\times {10}^{-11}$
$\Rightarrow q=2\times {10}^{-12}C$