Question

Which of the following about potential at a point due to a given point charge is true ?
The potential at a point $P$ due to a given point charge

• A. is a function of distance from the point charge.
• B. varies inversely as the square of distance from the point charge.
• C. is a vector quantity.
• D. is directly proportional to the square of distance from the point charge.

Answer 1

Answer: (A)

Since $V=\frac{1}{4\pi {\epsilon }_0}\frac{q}{r}$, for a given point charge, $q$ is constant, therefore $V$ depends only on $r$. Hence $V$ is a function of distance.