ELECTROMAGNETISM-torque on a current coil

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SUMMARY

The discussion centers on calculating the maximum torque on a circular coil with 50 turns, a radius of 0.2m, and a current of 5A in a magnetic field of 0.6 Web/m². The formula used for torque is τ = NBIAr cos(θ), where the angle θ is critical for determining torque. The maximum torque occurs when θ is 90 degrees, not 0 degrees, as initially assumed. The standard unit for torque is Newton-meter, which is equivalent to Web-A.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically torque on current-carrying coils.
  • Familiarity with the formula τ = NBIAr cos(θ) for torque calculation.
  • Knowledge of magnetic induction and its units (Web/m²).
  • Basic grasp of vector angles in physics, particularly in relation to magnetic fields.
NEXT STEPS
  • Study the derivation and applications of the torque formula τ = NBIAr cos(θ).
  • Learn about the relationship between torque and magnetic fields in electromagnetic systems.
  • Explore the significance of angle θ in torque calculations and its impact on coil performance.
  • Investigate the units of measurement in electromagnetism, focusing on Newton-meter and Web-A equivalence.
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Students and professionals in physics, electrical engineering, and anyone interested in the principles of electromagnetism and torque calculations in current-carrying coils.

jsalapide
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A circular coil of 50 turns has a radius of 0.2m and carries a current of 5A. The coil is in a field where the magnetic induction is 0.6 Web/m^2. What is the max torque on the coil?

I used the formula for the torque on a coil: r=NBIAcos(theta)
I assume that the angle for max torque is 0
my answer is 6pi..

is that right?
is it ok to let the angle be 0??
 
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Looks OK to me.

I'm not sure how you defined your angle theta. Usually it's defined as the angle between the area vector (normal to the plane of the coil) and the magnetic field, in which case the torque is given by μ X B = NIAB sin(theta). Using that definition, the torque is maximum when theta = 90 degrees.
 
Ah.. my theta is the angle between the plane of the coil and the field

anyways,, thanks..

how about the unit? Is it web-A?
 
jsalapide said:
how about the unit? Is it web-A?
The standard unit for torque is Newton-meter (which is equivalent to web-A).
 

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