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A 100-turn coil of radius 10 cm carrying 3.2 A (moment 10 A m²) sits in a 2 T field, free to rotate. The torque when its plane is parallel to the field (m perpendicular to B) is:
A10 N m
BZero
C20 N m
D40 N m
Answer & Solution
Correct answer: C. 20 N m
1. Torque magnitude: $\tau = mB\sin\theta$.
2. When the plane of the coil is along the field, the moment m is perpendicular to B, so $\theta = 90^\circ$.
3. Then $\sin\theta = 1$, giving $\tau = mB$.
4. Substitute $m = 10$ A m², $B = 2$ T: $\tau = 10\times2 = 20$ N m.
5. The torque would be zero only when m is parallel to B (θ = 0).
_Source: NCERT Class 12 Physics Ch 4 "Moving Charges and Magnetism", p.157_
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