A rectangular loop consists of 80 closely wrapped turns and has dimensions 0.40

Question

A rectangular loop consists of 80 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 0.89 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?

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

Explanation / Answer

Here

magnetic field , B = 0.89 T

current , I = 1.2 A

area of loop , A = 0.40 * 0.30 m^2

A = 0.12 m^2

theta = 30 degree

torque acting on the windings = N * B * A * I * cos(theta)

torque acting on the windings = 80 * 0.89 * 1.2 * 0.12 * cos(30)

torque acting on the windings = 8.88 N.m

the torque acting on the windings is 8.88 N.m

---------------------------

for the direction of rotation of loop

as T = u X B

the direction of rotation is clockwise as viewed from above

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