Question

What is the potential energy possessed by a point charge of 1mC in an electric field of potential 100 volt

Answer 1

The potential energy possessed by a point charge of 1mC in an electric field of potential 100 volt is 0.1 joules

Explanation:

Potential energy of a body is defined as the energy stored in a body by virtue of its motion.

potential energy stored in a point charge is defined as the workdone on a point charge required to take the charge from the influence of electric field to infinity.

$W = \frac{kq_{1}q_{2} }{r}$

This is the maximum workdone by charge $q_{1}$ on $q_{2}$ in placing it from r to infinity.

$V = \frac{kq_{1} }{r}$

where V is the voltage produced by charge $q_{1}$

In question it is given that V = 100 volts and q = 1mC

potential energy = qV

                         $U = (.001)(100) = .1 joules$