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A long, thin wire is in a region of constant magnetic field . The wire carries a

ID: 1683978 • Letter: A

Question

A long, thin wire is in a region of constant magnetic field . The wire carries a current of 6.2 A and is oriented at an angle of 7.5° to the direction of the magnetic field.

(a) If the magnetic force exerted on this wire per meter is 0.054 N, what is the magnitude of the magnetic field?
___________ mT

(b) At what angle will the force exerted on the wire per meter be equal to 0.013 N?
___________° A long, thin wire is in a region of constant magnetic field . The wire carries a current of 6.2 A and is oriented at an angle of 7.5° to the direction of the magnetic field.

(a) If the magnetic force exerted on this wire per meter is 0.054 N, what is the magnitude of the magnetic field?
___________ mT

(b) At what angle will the force exerted on the wire per meter be equal to 0.013 N?
___________°

Explanation / Answer

Equation: F = iLBsin? So the Force per unit Length is: F/L = iBsin? Part a) (0.054) = (6.2)(B)(sin7.5) B = .0667 T
Part b) Use the same equation, this time using B from part A and solve for ? .013 = (6.2)(.0667)(sin?) sin? = .0314 ? = sin-1 (.0314) = 1.8 degrees
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