The rectangular loop shown in the figure moves at constant velocity normal to a

Question

The rectangular loop shown in the figure moves at constant velocity normal to a stationary and uniform magnetic field. Determine the electromagnetic force induced across a small gap created in the loop. The loop sides are a and b

u = (y-hat) 7.5 m/s

B = (x-hat) 50 mT

a= .05 m

b= .15m

My book doesn't contain a detailed explanation of this problem, I'm guessing it will be zero in the loop, but my math doesn't check out.when I'm using the equations given in the book. Could anyone solve this with the math so that I can veify it! Oh and feel free to do it in your own way no need to constrain the math to the books method as long as i can understand you. Thank you!

Explanation / Answer

flux = int(B.dA) = B.A = 50*10^-3*0.05*0.15 = 3.75*10^-4 wb = constant.

The emf iduced is given by e.m.f = -d(flux)/dt =0

But here flux is constant, it does not change with time

so the e.m.f induced across the gap will be 0.

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