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Q.

A thin non-conducting ring of radius R has a linear charge density λ=λ0cos⁡θ, where θ is measured as shown. The total electric dipole moment of the charge distribution is

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a

R2λ0

b

2πR2λ0

c

πR2λ02

d

πR2λ0

answer is D.

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Detailed Solution

Dipole moment of the charge pair at P and Q.dp=λ0cos⁡θRdθ(2Rcos⁡θ)Total dipole moment=2λ0R2∫−π/2π/2 cos2⁡θdθ=πR2λ0
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