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An infinite number of concentric rings carry a charge `Q` each alternately positive and negative. Their radii are `1, 2, 4, 8..` meters in geometric progression as shown in the figure. The potential at the centre of the rings will be A. zeroB. `(Q)/(12pi epsilon_(0))`C. `(Q)/(8pi epsilon_(0))`D. `(Q)/(6pi epsilon_(0))` |
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Answer» Correct Answer - D Potetnial at centre : `V = (kQ)/(1) - (kQ)/(2) + (kQ)/(4)`…. `kQ[1-(1)/(2)+(1)/(4)…] = (1)/(4pi epsilon_(0)) Q ((1)/(1+1//2)) = (Q)/(4pi epsilon_(0))` |
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