In the figure, a rectangular loop carrying current lies in the plane of a unifor

Question

In the figure, a rectangular loop carrying current lies in the plane of a uniform magnetic field of magnitude 0.0282 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 3.46 cm, the magnitude of the torque on the loop changes. The maximum value of is 5.01 × 10-8 N*m. What is the current in the loop?

Explanation / Answer

t = NBIA

when x = 3.46 cm it wil be maximum 6.92 cm

square = 6.92/4 cm

maximum area = 1.73^2 x 10^-4 =

N = 1

I = t/BA

I = (5.01 × 10-8)/(0.0282 x 1.73^2 x 10^-4)

I = 5.93 x 10^-3 A

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