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An electric dipole of length $1\ cm$ aligned at $30^\circ$ to a field $2\times10^{5}\ N\,C^{-1}$ experiences a torque of $8\ N\,m$. The magnitude of each charge is
A$8\ mC$
B$4\ mC$
C$5\ mC$
D$7\ mC$
Answer & Solution
Correct answer: A. $8\ mC$
1. Torque on a dipole: $\tau = pE\sin\theta$ with $p = q\,l$.
2. $p = \dfrac{\tau}{E\sin\theta} = \dfrac{8}{2\times10^{5}\times\sin30^\circ} = \dfrac{8}{1\times10^{5}} = 8\times10^{-5}$ C m.
3. $q = \dfrac{p}{l} = \dfrac{8\times10^{-5}}{1\times10^{-2}} = 8\times10^{-3}$ C $= 8\ mC$.
_Source: Samacheer Kalvi Class 12 Physics Vol.1, Unit 1 'Electrostatics', Evaluation Q.4_
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