A horizontal, rectangular loop of wire, initially in a B-field free region, is pulled from left...

A horizontal, rectangular loop of wire, initially in a B-field free region, is pulled from left to right with constant velocity v into an extended region of uniform upward directed magnetic field.

a) What, if any, is the direction of the induced current as the loop is pulled into the uniform field region?

b) What, if any, is the direction of the magnetic force on the loop as it is pulled into the uniform field region?

c) What, if any, is the direction of the induced current when the loop is wholly contained in the uniform field region?

d) What if any is the direction of the magnetic force on the loop when it is wholly contained in the uniform field region?

e) What, if any, is the direction of the induced current as the loop is pulled out of the uniform field region?

f) What, if any, is the direction of the magnetic force on the loop as it exits the uniform field region?

Expert Solution

1) a clockwise directed current is induced as the loop is pulled into the the uniform magnetic field region. It is so because according to the lenz law the current should be induced in such a way that it opposes the the change of flux through the loop which is getting increased in the "out of the plane" direction

2) the magnetic force on the loop as it is pulled into the uniform field region would be towards the left because the current is induced so as to oppose the change in the flux and hence the induced current makes sure that the force is against the motion that is towards the left.

3) when the loop is wholly contained in the uniform field region then there is no induced current because in such a case there is no change of flux through the loop and hence no current is induced.

4) since no current is induced therefore no magnetic force is being experienced by the loop in this region.

5) now when the loop is pulled out the field region then counterclockwise current is induced because it has two oppose the change of magnetic flux through the loop which is getting decreased in the out of the plane direction.

6) the force experienced in this case is towards the left because the current is induced in such a way so as to a oppose the change of magnetic flux and this is possible if the slope experiences a force towards the left and ultimately retards its motion.

genius_generous answered 2 years ago

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