Engineering
Physics
Torque on a Current Loop
Question

A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X‑axis. If the coil is tilted through 45° about Z-axis, then the torque on the coil is :

0.38 Nm

0.42 Nm

0.55 Nm

0.27 Nm

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Solution

|t→|=|M¯×B¯|

τ = NI × A × B × sin 45°

τ = 0.27 Nm