A conducting loop is placed to the right of an infinitely long wire with current

Question

A conducting loop is placed to the right of an infinitely long wire with current i_o as shown. The loop is then pushed toward the top of the page at a constant velocity. Indicate the direction of the force on a positive charge in the wire loop at point R due to the current i_o If the force is zero at R, state that explicitly. Indicate the direction of the force on a positive charge in the wire loop at point S due to the current i_o. If the force is zero at S, state that explicitly. Find the direction of the induced current in the wire loop. If the current in the loop is zero, state that explicitly. Is there another direction that you could push the loop that would result in an induced current? Explain.

Explanation / Answer

Here ,

as the magnetic field due to current wire is constant as the loop moved because the distance between the loop and wire is not changing.

which makes the magnetic flux through the loop constant and there is no induced emf

a) as F = qV X B

the direction of magnetic field B is out of plane

velocity is upwards

direction of force is to the RIGHT

b)

at the point S

as F = qV X B

the direction of magnetic field B is out of plane

velocity is upwards

direction of force is to the right

c)

as there is no induced emf , there is no induced current

d)

yes , it should be pushed either dowawrds the wire or away from the wire , so that the magnetic flux in the loop changes and we get am induced emf

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