An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm an

Question

An eight-turn coil encloses an elliptical area having a major axis of 40.0 cm and a minor axis of 30.0 cm (see figure). The coil lies in the plane of the page and carries a clockwise current of 6.30 A. If the coil is in a uniform magnetic field of 2.03 x 10^-4 T directed toward the left of the page, what is the magnitude of the torque on the coil? Hint: The area of an ellipse is A = ?ab, where a and b are, respectively, the semimajor and semiminor axes of the ellipse. Apply the expression for the torque on a loop in a magnetic field to find the torque on the eight-turn coil. N A m

Explanation / Answer

torque on the loop is

torque = N I A B

= ( 8 ) ( 6.30 A ) ( 0.4 m ) ( 0.3 m ) ( 2.03*10^ -4 T )

= 0.00122 N m

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