A single-turn rectangular loop of width W and length L movesparallel to its leng

Question

A single-turn rectangular loop of width W and length L movesparallel to its length with a speed v. The loop moves from aregion with a magnetic field B perpendicular to the plane of theloop to a region where the magnetic field is zero, as shown in theabove figure. Find the rate ofchange in the magnetic flux through the loop (a) before it enters the region of zero field, (b) just after it enters the region of zero field, and (c) once it is fully within the region of zero field (d) For each of the cases considered in parts (a), (b), and(c), state whether the induced current in the loop is clockwise,counterclockwise, or zero. Explain in eachcase.

Explanation / Answer

(a) 0, since it's a uniform B field, your flux isn't changing.
(b) BLv, your rate of change is dependent on your velocity.
(c) 0, no flux is passing through the closed surface

By Faraday's Law, voltage is related to the change in magnetic flux. Since (a) and (c) have no change, it's voltage is 0 and thus the current is 0.
(b) will have a current that flows in the counter-clockwise direction by the right hand rule. An easy way to figure this out is to assume that your circuit wants to oppose the change in flux. In doing so, you can construct an imaginary magnetic field whose direction tries to keep the same flux through the circuit.

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