Torque on a Circular Coil in Magnetic Field – Rankers Physics
Topic: Magnetic Effects of Current
Subtopic: Force Acting on Current Carrying Conductor

Torque on a Circular Coil in Magnetic Field

A circular coil of radius \(R\) having current \(I\) is placed in a uniform magnetic field \(B\). If the angle between the area vector of the coil and the magnetic field is \(60^circ\), then the torque on the coil will be:
\[\frac{\pi R^2 I B}{2}\]
\[\frac{\sqrt{3}\pi R^2 I B}{2}\]
\(\pi R^2 I B\)
Zero

Solution:

The torque is given by \(\tau = MBsin\theta\), where \(M = I A = I(\pi R^2)\) and \(\theta = 60^\circ\). Thus, \(tau = I(\pi R^2)Bsin 60^\circ = \frac{\sqrt{3}\pi R^2 I B}{2}\).

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