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

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$1.1 J$

$2 J$

$2.5 J$

$3 J$

answer is A.

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Detailed Solution

Here, $q_{1} = 4 μ C, q_{2} = - 3 μ C, r = 10 c m = 0.1 m$

Initial electrostatic potential energy,

$U_{i} = \frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r} = 9 \times 10^{9} \times \frac{4 \times 10^{- 6} \times (- 3) \times 10^{- 6}}{0.1} = - 1.1 J$

Finally they are at infinite distance from each other

So $U_{f} = 0$

Work done = $U_{f} - U_{i} = 0 - (- 1.1) = 1.1 J$

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