Question

What is the work done in moving a charge of $\mathrm{Q}$ coulombs against a potential difference of $\mathrm{V}$ volts?

Answer 1

Concept Used: Charge and Potential difference between two points

Work done in terms of potential difference is:

Potential difference is defined as the work done per unit charge.

$\mathrm{Potential}\mathrm{difference}\mathrm{V}=\frac{\mathrm{Work}\mathrm{done}\mathrm{W}}{\mathrm{Charge}\mathrm{Q}}$

Hence, $\mathrm{Work}\mathrm{done}\mathrm{W}=\mathrm{Potential}\mathrm{difference}\mathrm{V}\times \mathrm{Charge}\mathrm{Q}$

Therefore, work done $\mathrm{W}$ in moving a charge $\mathrm{Q}$ against a potential difference $\mathrm{V}$ is $\mathrm{VQ}\left(\mathrm{J}\right)$.