A rectangular loop consists of 110 closely wrapped turns and has dimensions 0.40

Question

A rectangular loop consists of 110 closely wrapped turns and has dimensions 0.40 m by 0.30 m. The loop is hinged along the y-axis, and the plane of the coil makes an angle of 30.0° with the x-axis (Fig. P19.24). What is the magnitude of the torque exerted on the loop by a uniform magnetic field of 0.72 T directed along the x axis, when the current in the windings has a value of 1.2 A in the direction shown?
N·m

What is the expected direction of rotation of the loop?

2

clockwise as viewed from above counterclockwise as viewed from the above     the loop should not rotate

Explanation / Answer

Magnetic momentum M = NiA

Torque = MxB = NiABsin(theta)

= 110*1.2*0.4*0.3*0.72*sin(90-30)

Torque = 9.88 N.m

direction is counter clockwsie

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