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A rectangular loop consists of 124 closely wrapped turns and has dimensions 0.40

ID: 1398746 • Letter: A

Question

A rectangular loop consists of 124 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° with the x-axis (see figure below).

What is the magnitude of the torque exerted on the loop by a uniform magnetic field of 0.872 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 abovecounterclockwise as viewed from the above     The magnitude is zero.

Explanation / Answer

Formula for the Torque is T = B*i*A*N*cos(theta)


here theta = 30 degrees

B is the magnetic field = 0.872 T

i is the current in the coil = 1.2 A

A is the area of the coil = 0.4*0.3 = 0.12 m^2

N is the no.of loops = 124

Then T = 0.872*1.2*0.12*124*cos(30) = 13.5 N-m

counter clock wise for the above