In the diagram shown there is a square inside there is another square and inside...

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In the diagram shown there is a square inside there is another square and inside it there is another square and so on On the vertex of each square a charge is placed On the vertex of the Nth square the charge Q 2N is placed If the dimension of the outermost square is L and the number of the squares formed in this manner is infinite then what will the potential at the centre SSR A 2Q 2 1 TEL B Q 2 1 L C 4Q 2 1 L D None of these

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To solve this problem we need to calculate the electric potential at the center of an infinite series of nested squares each with charges placed at their vertices Key Concepts 1 Electric Potential Due to a Point Charge V frackQr where V is the potential k frac14pi varepsilon0 is Coulombs constant Q is the charge and r is the distance from the charge to the point where the potential is    See Answer
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