+ -10.83 points HRW10 28·P.052 My Notes Ask Your Teacher In the figure below, a

Question

+ -10.83 points HRW10 28·P.052 My Notes Ask Your Teacher In the figure below, a rectangular loop carrying current lies in the plane of a uniform magnetic field of magnitude 0.042 T. The loop consists of a single turn of flexible conducting wire that is wrapped around a flexible mount such that the dimensions of the rectangle can be changed. (The total length of the wire is not changed.) As edge length x is varied from approximately zero to its maximum value of approximately 3.8 cm, the magnitude of the torque on the loop changes. The maximum value of is 4.00 × 10-8 N·m, what is the current in the loop? Additional Materials Section 28.7

Explanation / Answer

perimeter of rectangle L = 2x + 2y

L = 0 + 2 (3.8) = 7.6 cm

Length of each side of square 4 * a = 7.6

alpha = 1.9 cm = 0.019 m

maximum torque = I A B

I = Tmax / A B = Tmax / a2 B = (4 * 10-8)/ (0.0192 * 0.042)

current = 2.64 * 10-3 A

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