Problem 3 (Magnetic Torque): Suppose that coils of wire are wrapped around an el

Question

Problem 3 (Magnetic Torque): Suppose that coils of wire are wrapped around an electric motor. Each coil consists of 500 turns of wire that enclose an area of 2 × 10-2 m2 The current passing trough the wires has amplitude of 572 Amps while the magnitude of the external magnetic field is 0.5 T. Given that the magnetic field exerted on the motor is perpendicular to the intrinsic magnetic moment of the motor 1. Find the magnitude of the magnetic moment (m) of the motor given that Iml-N 1 for a perpendicular applied magnetic field. 2. Find the magnitude of the exerted torque (t) given that for a perpendicular magnetic fieled 3. The power (P) generated from the electric motor at 5000 RPM where p-t-a

Explanation / Answer

1.

Magnetic moment is given by:

m = N*i*A

Using given values:

m = 500*572*2*10^-2

m = 5720 Amp-m^2

Part B

Torque is given by:

T = |m|.|B|

T = 5720*0.5

T = 2860 N-m

Part C

P = Torque*w

P = T*w

w = 5000 RPM = 5000*2*pi/60 = 523.60 rad/sec

P = 2860*523.60

P = 1497496 W

P = 1.50*10^6 W

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