The figure shows a 10-cm-diameter loop in three different magnetic fields. The l

Question

The figure shows a 10-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.10 .(Figure 1)

A.For case (a), what is the induced emf?

B.For case (a), what is the induced current?

C.For case (a), what is the direction of the current?

D..For case (b), what is the induced emf?

E.For case (b), what is the induced current?

F.For case (b), what is the direction of the current?

G.For case (c), what is the induced emf?

H.For case (c), what is the induced current?

I.For case (c), what is the direction of the current?

Explanation / Answer

v= nA(dB/dt) n=1 in this case. Area of loop is p d² / 4 = p(0.1)²/4 = 0.00785 m² dB/dt = 0.5 T/s v = A(dB/dt) =0.00785*0.5 = 3.93 mV is the induced emf the current is v/R = 39.3 mA a) B is increasing upward. The current is counterclockwise. b) B is downward and decreasing which is the same as increasing upward. The current is the same as in a) c) The field does not penetrate the loop so the emf and current are 0.

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