Three point charges, which initially are infinitely far apart, are placed at the comers of an equilateral triangle with sides d. Two of the point charges are identical and have charge q. If zero net work is required to place the three charges at the corners of the triangles, the value of the third charge is −qn where n is equal to

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Solution

AS zero work is required to put on the corners of equilateral triangle,
Total PE = 0
14πϵqqa+14πϵ−q2qa14πϵ−q2qa=0⇒q2=−q/2

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AS zero work is required to put on the corners of equilateral triangle, Total PE = 0 14πϵqqa+14πϵ−q2qa14πϵ−q2qa=0⇒q2=−q/2

AS zero work is required to put on the corners of equilateral triangle,
Total PE = 0
14πϵqqa+14πϵ−q2qa14πϵ−q2qa=0⇒q2=−q/2