A two point charges 4q and -q are fixed on the x-axis at x = $ - {d \over 2}$ and x = ${d \over 2}$ respectively. If a third point charge 'q' is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the charge will :

Question

increase by ${{3{q^2}} \over {4\pi {\varepsilon _0}d}}$

increase by ${{2{q^2}} \over {3\pi {\varepsilon _0}d}}$

decrease by ${{{q^2}} \over {4\pi {\varepsilon _0}d}}$

decrease by ${{4{q^2}} \over {3\pi {\varepsilon _0}d}}$

Solution

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