A thin non-conducting ring of radius R has a linear charge density λ=λ0cosθ, 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=λ0cosθRdθ(2Rcosθ)Total dipole moment=2λ0R2∫−π/2π/2 cos2θdθ=πR2λ0