A rectangular loop consists of 108 closely wrapped turns and has dimensions 0.40

Question

A rectangular loop consists of 108 closely wrapped turns and has dimensions 0.400 m by 0.300 m. The loop is hinged along the y-axis, and the plane of the coil makes an angle of 30.0

A rectangular loop consists of 108 closely wrapped turns and has dimensions 0.400 m by 0.300 m. The loop is hinged along the y-axis, and the plane of the coil makes an angle of 30.0 degree with the x-axis (see figure below). What is the magnitude of the torque exerted on the loop by a uniform magnetic field of 0.816 T directed along the x-axis when the current in the windings has a value of 1.20 A in the direction shown? N · m What is the expected direction of rotation of the loop? clockwise as viewed from above counterclockwise as viewed from the above The magnitude is zero.

Explanation / Answer

a. torque T = NiaB sin thet a

T = 108 * 1.2 * 0.3*0.4 * 0.816 * sin 30

T = 6.34 Nm'

b. counterclockwise as viewed from the above

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