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A rectangular loop of wire as it is moved through a region of uniform magnetic f

ID: 1638004 • Letter: A

Question

A rectangular loop of wire as it is moved through a region of uniform magnetic field at B-> velocity v-> . The figure below shows three snapshots of this motion:

i. half of the loop has entered the region.

ii. the loop is at the midpoint of the region.

iii. half the loop has exited the region.

a. The induced current through the loop when in position i is measured to be I.

What is the value of the induced current at position ii?

What is the value of the induced current at position iii?

b. If v-> is to remain constant, in which positions, if any, would it be necessary to apply an external force? Explain.

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Explanation / Answer

a)

In position first flux increasing in the loop so according to lens law loop will oppose it. It will develop own field so current flow in the circuit.

But in position 2 flux. (B.A) is constant no current in the circuit. i=0

3rd position the magnetic field decreasing so flux will change

So current will flow in loop.

Current i=-I

b)first and 3 rd position required external force.

According to the conservation of energy we can not find current in loop without work.

Change in flux required external force. To flow current in the loop.