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A circular loop of wire with radius 0.50 m is sitting horizontally. It is situat

ID: 1449103 • Letter: A

Question

A circular loop of wire with radius 0.50 m is sitting horizontally. It is situated in a uniform magnetic field of 0.035 T pointing directly upwards, perpendicular to the plane of the loop. What is the magnetic flux through the loop?

b) If the magnetic field changes from 0.035 T upward to 0.020 T upward in 0.75 seconds, what is the magnitude of the EMF induced on the wire? (You should look up what ‘EMF’ is if you have not encountered this term yet. It was introduced in section 19-1). Hint: you will need to use Faraday’s Law here.

c) As seen from above the wire, which direction will current begin running through the loop? (Assume there is some resistance in the wire so that an infinite amount of current is not generated). Hint: use Lenz’s law here.

Explanation / Answer

magnetic flux = phi = N A B

flux = 1 * 3.14 * 0.5* 0.5 * 0.035

flux = 0.027 Wb

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induced emf e =- N A dB/dt

emf e = 1 * 3.14 * 0.5 * 0.5 * (0.035 -0.02)/0.75

emf e = 0.0157 Volts

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from lenz law

current here is in Counter clockwise direction

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