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  4. A charge Q is placed at the origin. The electric potential due to this charge at a given point in space is V. The work done by an external force in bringing another charge q from infinity up to the point is

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Q. A charge $Q$ is placed at the origin. The electric potential due to this charge at a given point in space is $V$. The work done by an external force in bringing another charge $q$ from infinity up to the point is

J & K CETJ & K CET 2011Electrostatic Potential and Capacitance

Solution:

Potential at a point in a field is defined as the amount of work done in bringing a unit positive test charge $(q)$ from to that point along any arbitrary path Potential,
$ V=\frac{W}{q_{0}} $ or Work done, $ W=qV $