Calculating Force and Torque on Electric Motor Coil

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SUMMARY

The discussion focuses on calculating the maximum force and torque on a square coil of an electric motor with 20 turns, an area of 150 cm², and a magnetic field strength of 300 mT while carrying a DC current of 5.00 A. The participants clarify that the area should not be divided to find the length of each turn, emphasizing the importance of using the correct formulas for force and torque calculations. The correct approach involves applying the formula for torque (τ = n * B * I * A) and force (F = B * I * L) to derive the required values accurately.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically the interaction between magnetic fields and electric currents.
  • Familiarity with the formulas for calculating torque (τ = n * B * I * A) and force (F = B * I * L).
  • Knowledge of unit conversions, particularly between centimeters and meters.
  • Basic algebra skills for manipulating equations and solving for unknowns.
NEXT STEPS
  • Review the derivation and application of the torque formula in electromagnetic systems.
  • Study the relationship between magnetic field strength, current, and force on a conductor.
  • Explore the effects of coil geometry on torque and force in electric motors.
  • Learn about the principles of DC motors and their operational characteristics.
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and professionals involved in designing or analyzing electric motor systems will benefit from this discussion.

gaimesh
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Homework Statement



An electric motor has a square coil with 20 turns and an area of 150cm^2. the coil is free to rorate in uniform magnetic field of 300mT. If there is a DC current of 5.00A, passing through the coil: what is the maximum force on one side of the coil? and what is the maximum torque on the coil?

Homework Equations





The Attempt at a Solution


well i realized that there are 5 loops of this coil, i also figured that each turn is 7.5cm long. (150/4) = 37.5 (37.5/5) = 7.5cm, and I am not sure where to go from here.
 
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welcome to pf!

hi gaimesh! welcome to pf! :smile:
gaimesh said:
An electric motor has a square coil with 20 turns and an area of 150cm^2. the coil is free to rorate in uniform magnetic field of 300mT. If there is a DC current of 5.00A, passing through the coil: what is the maximum force on one side of the coil? and what is the maximum torque on the coil?

well i realized that there are 5 loops of this coil, i also figured that each turn is 7.5cm long. (150/4) = 37.5 (37.5/5) = 7.5cm, and I am not sure where to go from here.

uhh? there are 20 loops … and you can't divide an area by 4 to get a length! :rolleyes:

try again, and start by writing out the formula you wish to use :smile:
 

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