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3- The rotor in a certain electric motor 2.50 cm by 4.00 cm. The rotor rotates i

ID: 2303726 • Letter: 3

Question

3- The rotor in a certain electric motor 2.50 cm by 4.00 cm. The rotor rotates in a uniform magnetic field rotor is perpendicular to the direction of the magnetic field, this orientation, the magnetic moment of the rotor is is a flat, rectangular coil with 80 turns of wire and dimensions of 0.800 T. When the plane of the mA In the rotor carries a current of 10.0 directed opposite the magnetic field. The rotor to turn steadily then turns through one-half of a revolution. This process is repeated to cause the rotor at an angular speed of 3.60 x10 rev/min. (a) Find the maximum torque acting on the rotor. (b) Find the peak power output of the motor.

Explanation / Answer

a)

Maximum Torque acting on the rotor is given by

Tmax=NIABSin90 =NIAB

Tmax =80*(10*10-3)*(0.025*0.04)*0.8

Tmax = 6.4*10-4 N-m or 0.64 mN-m

b)

Peak power output of the motor is given by

Pmax=TmaxW =(6.4*10-4)(3.6*103*2pi/60)

Pmax=0.2413 Watts

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