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

AI Thread Summary
The maximum torque for a circular one-turn coil in a 0.75T magnetic field is calculated to be 8.4x10-4Nm with a current of 3.7A. The force on the coil is derived from the equation F=ILBsinθ, leading to the calculation of wire length. The initial attempt to find the length resulted in L=0.017m. The correct approach involves using the formula B=u0NI/2r and the circumference C=2πr to determine the length. The discussion highlights the importance of understanding torque and magnetic field interactions in coil calculations.
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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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