Q. The work done in bringing a unit positive charge from infinity distance to a point at distance X from a positive charge $\mathcal{Q}$ is W. Then, the potential $\phi$at the point is

A) $\frac{W\mathcal{Q}}{X}$
B) W
C) $\frac{W}{\mathcal{Q}}$
D) $W\mathcal{Q}$
Explanation

(c) Potential at a point in a field is defined as the amount of work done in bringing a unit positive test charge, from infinity to that point along any arbitrary path, $i.e.,$
$V = \frac{W}{q_{0}}$
$\therefore\ \ \ V = \phi = \frac{W}{\mathcal{Q}}\ \ \ \ \ \ \ \ \ \ \ \ \ (\because X \ll \infty)$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.