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A semicircular arc of radius ‘a’ is charged uniformly and the charge per unit length is λ .The electric field at its centre is

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a
λ2πεoa2
b
λ4εoa
c
λ22πεoa
d
λ2π εoa

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detailed solution

Correct option is D

dE=Kλdxa2 dEnet=Kλdxa2cosθ E=∫-π2π2Kλdθacosθ=λ2π∈0a

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