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A rectangular loop of wire has a length 2a in the x direction and a width...

A rectangular loop of wire has a length 2a in the x direction and a width 2b in the y direction. The loop lies in the z = 0 plane and is centered at the origin. Assuming that the loop carries a current of I Amps counterclockwise, as viewed from the positive z axis, find the magnetic field vector H at the center of the loop.

Hint: Consider how the contributions from opposite sides of the rectangle compare, to save yourself some time.

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