How Is Torque Calculated in a Circular Coil within a Magnetic Field?

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SUMMARY

The maximum torque experienced by a circular, one-turn coil in a 0.75T magnetic field is calculated to be 8.4x10-4 Nm when the coil current is 3.7A. The length of the coil wire is determined to be 0.017m using the formula τ = F * r, where F is calculated as F = I * L * B * sin(θ). The relationship B = μ0NI/2r is also utilized to derive the length from the radius of the coil.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically torque in magnetic fields
  • Familiarity with the formulas τ = F * r and F = I * L * B * sin(θ)
  • Knowledge of the relationship between magnetic field strength and coil parameters
  • Basic understanding of circular geometry and its application in physics
NEXT STEPS
  • Study the derivation of torque in circular coils within magnetic fields
  • Learn about the Biot-Savart Law and its applications in calculating magnetic fields
  • Explore the concept of magnetic flux and its relation to coil design
  • Investigate the effects of varying current and magnetic field strength on torque
USEFUL FOR

Physics students, electrical engineers, and anyone involved in designing or analyzing electromagnetic systems will benefit from this discussion.

dgresch
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The maximum torue experienced by a circular, one-turn, coil in a 0.75T magnetic field is 8.4x10-4Nm. If the coil current is 3.7A, find the coil wire length.

Homework Equations



τ=Fr
F=ILBsinθ ?
r=L

The Attempt at a Solution



(8.4x10-4Nm)=[(3.7A)L(0.75T)sin90]L
L=0.017m

Can I do this? I don't know how else I'd get the length with the given values.
 
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Never mind, I figured out its just B=u0NI/2r and I take C=2pie *r to give me length
 

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