A circular loop has radius R and carries current I2 in a clockwise direction. Th

Question

A circular loop has radius R and carries current I2 in a clockwise direction. The center of the loop is a distance D above a long, straight wire. Part A What is the magnitude of the current I1 in the wire if the magnetic field at the center of the loop is zero? Express your answer in terms of the variables I2, R, D, and appropriate constants mu nought and pi. I1 = ? Part B What is the direction of the current I1? The current I1 must point to the left or the current I1 must point to the right. Please show steps!

Explanation / Answer

(A) B(loop) = ?I(loop)/2R at the center

B(wire) = ?I(wire)/2?D

Hence for the net magnetic fields to be zero, then

B(loop) = B(wire)

?I(loop)/2R = ?I(wire)/2?D

I(wire) = (?D/R) I(loop)

(B) I(wire) is moving to the right, so that B(wire) is pointing down at the center of the loop.

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