Calculate the electric potential at a point $P$ located $8\text{cm}$ from a point charge of $+2\mu \text{C}$ placed at the origin. 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. Convert the distance to metres: $8\text{cm}=0.08\text{m}$.
2. Write the formula for potential due to a point charge: $V=\frac{kq}{r}$.
3. Substitute $k=9\times 10^9$, $q=2\times 10^{-6}\text{C}$ and $r=0.08\text{m}$.
4. Calculate the numerator: $kq=9\times 10^9\times 2\times 10^{-6}=1.8\times 10^4$.
5. Divide by $r$: $V=\frac{1.8\times 10^4}{0.08}=2.25\times 10^5\text{V}$.

Concept tested: Potential of a point charge

Published 11 September 2026 · How this solution was prepared and checked