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  4. A system consists of two charges 4 μ C and -3 μ C with no external field placed at (-5 cm, 0, 0) and (5 cm, 0, 0) respectively. The amount of work required to separate the two charges infinitely away from each other is

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Q. A system consists of two charges $4\,\mu C$ and $-3 \,\mu C$ with no external field placed at $(-5\, cm, 0, 0)$ and $(5 cm, 0, 0)$ respectively. The amount of work required to separate the two charges infinitely away from each other is

Electrostatic Potential and Capacitance

Solution:

Here, $q_{1}=4 \mu C, q_{2}=-3 \,\mu C, r=10\,cm=0.1\,m$
Electrostatic potential energy,
$U=\frac{1}{4\pi\varepsilon_{0}} \frac{q_{1}q_{2}}{r}=9\times10^{9}\times\frac{4\times10^{-6}\times\left(-3\right)\times10^{-6}}{0.1}$
$=-1.1\,J$