In Figure 21.1, a wire and a 10 ohm resistor are used to form a circuit in the s

Question

In Figure 21.1, a wire and a 10 ohm resistor are used to form a circuit in the shape of a square, 20 cm by 20 cm. A uniform but non-steady magnetic field is directed into the plane of the circuit. The magnitude of the magnetic field is decreased from 2.40 T to 0.80 T in a time interval of 73 ms. The average induced current and its direction through the resistor, in this time interval, are closest to:

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A) 53 mA, from a to b

B) 130 mA, from a to b

C) 88 mA, from a to b

D) 88 mA, from b to a

E) 53 mA, from b to a

Explanation / Answer

induced emf e= NAdB/dt

emf e = 0.2*0.2* (0.8-2.4)/0.073

emf e = -0.8767 Volts

induced current i = emf/R = 0.8767/10

i = 0.0878 A      or 88 mAmps from B to A

D) 88 mA, from b to a

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