A rectangular coil consists of N = 120 closely wrapped turns and has dimensions

Question

A rectangular coil consists of

N = 120

closely wrapped turns and has dimensions

a = 0.400 m

and

b = 0.300 m.

The coil is hinged along the y axis, and its plane makes an angle

? = 30.0

A rectangular coil consists of N = 120 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle ? = 30.0 degree with the x axis (figure). (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.430 T directed in the positivex direction when the current is I = 1.20 A in the direction shown? N m (b) If you are looking downward from the positive y direction, what is the expected direction of rotation of the coil? clockwise/counterclockwise

Explanation / Answer

Given,

Number of turns = 120

length = 0.4 m

width = 0.3 m

angle with x axis = 30 degree

magnetic field = 0.43 T

Current = 1.2 A

Magnetic moment = N * I * A

Area = 0.4 * 0.3

Magnetic moment = 120 * 1.2 * (0.4 * 0.3)

Magnetic moment = 17.28

torque = magnetic moment * magnetic field * sin(30)

torque = 17.28 * 0.43 * sin(30)

torque = 3.7152 Nm

If you are looking downward from the positive y direction, what is the expected direction of rotation of the coil is clockwise

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