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A thin non-conducting ring of radius \( R \) has a linear charge density \( \lambda=\lambda_{0} \cos \theta \), where \( \theta \) is measured as shown. The total electric dipole moment of the change distribution is
(A) \( R^{2} \lambda_{0} \)
(B) \( 2 \pi R^{2} \lambda_{0} \)
(C) \( \frac{\pi R^{2} \lambda_{0}}{2} \)
(D) \( \pi R^{2} \lambda_{0} \)
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