A 2.30 cm 2.30 cm square Ampèrian loop exists in the xy plane in a region of spa

Question

A 2.30 cm 2.30 cm square Ampèrian loop exists in the xy plane in a region of space with a magnetic field. The magnetic field has a y component that varies along the x direction and an x component that varies along the y direction as described by

Calculate the contribution to the circulation integral due to each segment of the loop, and determine the net current through the loop that must be present. (Assume that the lower left corner of the loop is at the origin of the xy plane. Enter the magnitudes.)

Explanation / Answer

according to amperian rule

integral (B*dl) = mu_o*I

1.08*10^-4 = 4*3.142*10^-7*I

current I = 86 A

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