A circular loop of 50 turns in the plane of the paper lies in a 0.5 T magnetic f

Question

A circular loop of 50 turns in the plane of the paper lies in a 0.5 T magnetic field pointing out of the paper. If the loop's diameter changes from 20.0 cm to 6.0 cm in 0.50 s, what is the direction of the induced current in the loop? What is the magnitude of the average induced emf in the loop? if the coil resistance is 2 ohm. what is the average induced current in the loop? If the diameter of the loop is 20.0 cm and the magnetic field is increasing by .02 TS, what is the induced current in the loop (with direction)?

Explanation / Answer

part a:

loop's diameter is reducing

so area reduces

hence flux reduces

as per lenz's law, the direction of induced current be such that flux due to this induced current should oppose the direction flux tht has caused it.

here original flux is reducing in the direction of out of the paper.

so induced flux should be increasing in the direction of out of the paper.

hence direction of induced current should be in anti clockwise direction.

part b:

average induced emf=change in flux/time

=magnetic field*change in area/time

=0.5*((pi/4)*(0.2^2-0.06^2))/0.5=0.02858 volts

part c:

average indcued current=average induced emf/resistance

=0.01429 A

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