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As shown in the figure below, a coil that is square, has 30 turns, is 0.82 , and

ID: 1424995 • Letter: A

Question

As shown in the figure below, a coil that is square, has 30 turns, is 0.82 , and is 12.0 cm on a side is between the poles of a large electromagnet that produces a constant, uniform magnetic field of 0.5 T directed into the page. As suggested by the figure, the field drops sharply to zero at the edges of the magnet. The coil moves to the right at a constant velocity of 3.00 cm/s. What is the current through the coil wire in the following instances? (a) before the coil reaches the edge of the field. A (b) while the coil is leaving the field A (c) after the coil leaves the field A (d) What is the total charge that flows past a given point in the coil as it leaves the field?

Explanation / Answer

a) No current (since there is no change in magnetic flux)

b) induced current = induced emf/R

= N*B*v*L/R

= 30*0.5*0.03*0.12/0.82

= 0.066 A

c) No current (since there is no change in magnetic flux)


d) Total charge flowing, Q = change in magneic flux/R

= N*B*L^2/R

= 30*0.5*0.12^2/0.82

= 0.263 C