A point charge of magnitude $+5,\mu \text{C}$ is placed at the origin. Calculate the electric potential at a point $P$ located $12,\text{cm}$ from the charge. Take the potential to be zero at infinity. Use $k=9\times 10^9,{\text{N m}}^2{\text{C}}^{-2}$.

Step-by-step solution

1. Step 1: Convert distance to meters: $12\text{ cm}=0.12\text{ m}$.
2. Step 2: Use the formula for potential due to a point charge: $V=\frac{kq}{r}$.
3. Step 3: Substitute $k=9\times 10^9,{\text{N m}}^2{\text{C}}^{-2}$, $q=5\times 10^{-6},\text{C}$, $r=0.12\text{ m}$.
4. Step 4: Calculate: $V=\frac{9\times 10^9\times 5\times 10^{-6}}{0.12}=3.75\times 10^6\text{V}$.
5. Step 5: Thus the electric potential at $P$ is $3.75\times 10^6\text{V}$.

Concept tested: Potential of a point charge

Published 20 September 2026 · How this solution was prepared and checked