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A 0.1m radius conducting ring is placed in a uniform magnetic field that increas

ID: 1483775 • Letter: A

Question

A 0.1m radius conducting ring is placed in a uniform magnetic field that increases at a rate of 4T/s, inducing a current in the ring. A) Use Faraday's law to find the induced EMF. B) if the ring has a resistance of 0.5ohms, what is the induced current? Include the direction. A 0.1m radius conducting ring is placed in a uniform magnetic field that increases at a rate of 4T/s, inducing a current in the ring. A) Use Faraday's law to find the induced EMF. B) if the ring has a resistance of 0.5ohms, what is the induced current? Include the direction.

Explanation / Answer

induced EMF = rate of change of flux

induced EMF = rate of change of magnetic field * area

induced EMF = 4 * pi * 0.1^2

induced EMF = 0.1256 V

by ohm's law

V = IR

0.1256 = current * 0.5

current = 0.1312 A