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A half ring of radius R has a charge of λ per unit length. The potential at the centre of the half ring is

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A half ring of radius R has a charge of λ per unit length. The potential at the centre of the half ring is

(a) k λ/R

(b) k λ/πR

(c) k πλ/R

(d) kπλ

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Correct Answer is: (d) kπλ

The total charge on the half ring is πRλ. As all points on the ring are at a distance R from the centre, the potential at the centre is

V = k πRλ/R = kπλ.

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