How can torque and magnetic field affect the power output of an electric motor?

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Homework Help Overview

The discussion revolves around the operation of an electric motor, specifically focusing on the relationship between torque, magnetic fields, and power output. The original poster presents a problem involving a rotor with specific dimensions and characteristics, operating within a magnetic field, and seeks assistance with calculating various parameters related to its performance.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster has successfully calculated the maximum torque but expresses uncertainty about how to proceed with calculating the peak power output. They mention attempting to relate potential energy to the problem but are unsure of its relevance.
  • Some participants question the effectiveness of using the relationship between torque and angular velocity to find power, indicating confusion about the application of formulas.

Discussion Status

Participants are actively engaging with the problem, with some offering resources and others seeking clarification on specific calculations. There is a clear indication of ongoing exploration of the concepts involved, but no consensus or resolution has been reached regarding the calculations for power output.

Contextual Notes

The original poster has provided specific values and conditions for the motor's operation, but there may be constraints related to the assumptions made in the calculations or the formulas applied. The discussion reflects a need for further clarification on these aspects.

Sheneron
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Homework Statement


The rotor in a certain electric motor is a flat, rectangular coil with 80 turns of wire and dimensions 2.50 cm by 4.00 cm. The rotor rotates in a uniform magnetic field of 0.800 T. When the plane of the rotor is perpendicular to the direction of the magnetic field, it carries a current of 7.5 mA. In this orientation, the magnetic moment of the rotor is directed opposite the magnetic field. The rotor then turns through one-half revolution. This process is repeated to cause the rotor to turn steadily at 3600 rev/min.

(a) Find the maximum torque acting on the rotor.
(b) Find the peak power output of the motor.
(c) Determine the amount of work performed by the magnetic field on the rotor in every full revolution.
(d) What is the average power of the motor?

The Attempt at a Solution



I have solved part A) and found the max torque to be 4.80 e(-4) Nm. I am stuck on part b. I can find the max and min potential energy of the system but I don't know how that would help. Not sure how to go about this part.
 
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Last try, can anyone help me get part b?
 
Thanks for the link, but I am still confused on this problem.

I have the max torque so I though I could calculate the max power since P = tw and I have the angular velocity. But that didn't work. If anyone has an ideas I would be grateful.
 

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