Question

A cloud is at a potential of $8\times {10}^{9}V$ relative to the ground. A charge of $40C$ is transferred in a lightning stroke between the cloud and the earth. The energy released is:

• A. $3.2\times {10}^{11}J$
• B. $5\times {10}^{9}J$
• C. $2\times {10}^{9}J$
• D. $32\times {10}^{12}J$

Answer 1

The correct option is A $3.2\times {10}^{11}J$

Given:

Potential difference between the cloud and the earth $\left(\Delta V\right)$ $=8\times {10}^{9}V$

Charge transferred $q=40C$
Energy released $E=\left(\Delta V\right)q$
$E=(8\times {10}^9)\times 40$
$=32\times {10}^{10}J$
$=3.2\times {10}^{11}J$

$\therefore 3.2\times {10}^{11}J$ of energy is released when $40C$ is transferred.