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Torque on a Current Loop

An 8 turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm. The coil lies in the plane of the page and has a 5.75 A current flowing clockwise around it. If the coil is in a uniform magnetic field of 1.91 x 10^-4 T, directed toward the left of the page, what is the magnitude of the torque on the coil (in Nm)? (Hint: The area of an ellipse is A = pi*ab, where a and b are the semimajor and semiminor axes of the ellipse.)

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The torque on a current-carrying coil, as in a DC motor, can be related to the characteristics of the coil by the "magnetic moment" or "magnetic dipole moment". The torque exerted by the magnetic force (including both sides of the coil) is given by torque on a ...

Solution Summary

The torque exerted by the magnetic force (including both sides of the coil) is found using T = N I A B sin(t), where T is the torque on a coil and t is the angle between the magnetic field and the normal plane of the coil.

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