Electric motor. In a simple electric motor, a square coil of wire with N turns,

Question

Electric motor. In a simple electric motor, a square coil of wire with N turns, each of length L on a side, is free to rotate between the poles of a magnet about the axis shown.

(a) If the current i through the coil is constant, for what orientation(s) of the coil about its axis does it experience the greatest torque?Please draw this (these) orientation(s) as seen from the front. Be sure to indicate the current direction in the front side of the square.

(b) For what orientation(s) of the coil does it experience zero torque? Please draw this (these) orientation(s) as seen from the front.

(c) If the coil starts from rest in the orientation shown with the current as indicated, which way will it start to rotate? Or will it remain at rest? Please explain and illustrate with a force diagram.

(d) Suppose the magnetic field between the magnets pole faces was uniform with magnitude B. Derive an expression for the maximum torque that the coil could experience (in terms of i, L, N, B, and any numerical or physical constants needed).

(e) In that situation, what would be the total magnetic force on the coil? Please justify your answer with a diagram

Electric motor. In a simple electric motor, a square coil of wire with N turns, each of length L on a side, is free to rotate between the poles of a magnet about the axis shown. If the current i through the coil is constant, for what orientation(s) of the coil about its axis does it experience the greatest torque? Please draw this (these) orientation(s) as seen from the front. Be sure to indicate the current direction in the front side of the square. For what orientation(s) of the coil does it experience zero torque? Please draw this (these) orientation(s) as seen from the front. If the coil starts from rest in the orientation shown with the current as indicated, which way will it start to rotate? Or will it remain at rest? Please explain and illustrate with a force diagram. Suppose the magnetic field between the magenta^ s pole faces was uniform with magnitude B. Derive an expression for the maximum torque that the coil could experience (in terms of i, L, N, B, and any numerical or physical constants needed). In that situation, what would be the total magnetic force on the coil? Please justify your answer with a diagram

Explanation / Answer

a) when the plane of the loop is perpendicular to the magnetic field the loop experiances maximum
torque.

b)when the plane of the loop is parallel to the magnetic field the loop experiances zero
torque.

c) since net torque is zero, it will remain inrest

d)

torque, T = N*B*I*A*cos(theta)

here theta is the angle between normal to the loop and magnetic field.

Note:theta is not the angle between plane of the loop and B

e)

Fnet = 0

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