Question

A circular coil of 50 turns, each of radius 0.1 m, carries a current of 2 A. If the coil is placed in a uniform magnetic field of 0.5 T perpendicular to its plane, what is the magnitude of the torque acting on the coil?

• A. \( 0.157 \, \text{Nm} \)
• B. \( 0.785 \, \text{Nm} \)
• C. \( 1.57 \, \text{Nm} \)
• D. \( 3.14 \, \text{Nm} \)

Hint:

For torque on a current-carrying coil, ensure the angle \( \theta \) is between the magnetic field and the normal to the coil’s plane. When the field is perpendicular to the coil’s plane, \( \sin\theta = 1 \), maximizing the torque.