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

ID: 1420327 • 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 0.6 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 4.00 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? C

Explanation / Answer

(a) before the coil reaches the edge of the field A , induced emf =   0   A

(b) while the coil is leaving the field A , induced emf = 30 * 0.6 * 0.12 * 0.04

                                                                 =   0.0864 V

         => induced current = 0.0864/0.82

                                           =   0.10536 A

(c)     after the coil leaves the field A = 0   A

(d)     total charge that flows past a given point in the coil as it leaves the field =   0.10536 C   per sec