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Q.

A thin ring of radius R has charge Q non-uniformly distributed over its circumference.Then select the correct option.

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a

Electric field at its centre is zero.

b

Potential at its centre depends upon the distribution of charge.

c

Potential at its centre does not depend upon the distribution of charge.

d

None of the above options is correct.

answer is C.

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Detailed Solution

For an elementary charge dQ, potential at the centre 14πε0dQRSo for the entire charged ring, potential at the centre =∫0Q14πε0dQR=14πε0R∫0QdQ=Q4πε0RElectric field at its centre is zero only when distribution of charge is uniform.
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