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A rectangular loop of wire lies in the xy-plane. One corner of the loop is at...

A rectangular loop of wire lies in the xy-plane. One corner of the loop is at the origin. The loop is 3.0 cm × 2.0 cm so the opposite corner is at x = 3.0 cm, y = 2.0 cm. The magnetic field in this region is non-uniform. The magnetic field for x < 2.0 cm is 3.0 T in the positive z-direction and the magnetic field for x ≥ 2.0 cm is 2.0 T in the negative z-direction. Find the magnetic flux through the loop?
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