Question:medium

A circular coil of \(100\) turns and radius \[ \left(\frac{10}{\pi}\right)\text{ cm} \] carrying current \(5.0\) A is suspended vertically in a uniform horizontal magnetic field of \(2.0\) T. The field makes an angle \(30^\circ\) with the normal to the coil. Calculate:
(I) the magnetic dipole moment of the coil, and
(II) the magnitude of the counter torque required to prevent the coil from turning.

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