Question

Find the electric potential at a point if $0.002J$ work is to be done to bring a $40\mu C$ charge from infinity to that point.

Answer 1

Step 1: Given data

Work done, $W=0.002J$

Magnitude of electric charge, $Q=40\mu C=40\times {10}^{-6}C$

Electric potential, $V=?$

Step 2: Formula used

$V=\frac{W}{Q}$ ……………………….(a)

Step 3: Calculation of electric potential

Substituting the given values in equation (a), we get

$$\begin{gathered} V=\frac{0.002J}{40\times {10}^{-6}C} \\ V=50volt \end{gathered}$$

Hence, the electric potential at the given point is equal to $50volt$.