Question

How much work is done when one coulomb charge moves under a potential difference of 1 volt?

Answer 1

Concept used: Potential difference

Prerequisite: Knowledge of work done due to change potential difference

Step 1: Given data,

The charge to be moved is q=1 Coulomb.

The potential difference is $∆V=1\mathrm{Volt}$.

Step 2: Calculate the expression for the work done,

The expression for the work done in the electric field due to the displacement of the charge is given by,

$W=q∆V$

Substitute the given values in the above equation,

$$\begin{gathered} W=\left(1\mathrm{C}\right)\left(1\mathrm{V}\right)=1\text{C×}\frac{1\text{J}}{1\text{C}} \\ W=1\mathrm{J} \end{gathered}$$

When one coulomb of charge is moved from one point to another under a potential difference of 1 volt in an electric field, then 1 Joule of work done is required as the potential difference of 1 volt is defined as the ratio of work done and charge.

Thus, the work done required to move the 1 Coulomb of charge is 1 Joule.