A rectangular conducting loop is placed near a wire. The plane if the loop lies in the x-y plane of the page. The wire is below the loop towards the bottom of the page and runs horizontally from left to right also in the plane of the page (the x-y plane) and carries current in the +x direction to the right. If the current in the wire decreases in time, what can be said of the current induced in the loop?
A .the direction of the induced current is clockwise.
B. the direction of the induced current depends on the size of the loop.
C. nothing can be said about the induced current in the loop without more information.
D. the induced current is zero.
E. the direction of the induced current is counterclockwise.
Answer:
Given plane of the loop is in the XY plane. The current carrying wire is kept just below , so that current is in the +X direction. If the current in the wire is decreaing, a magnetic field is produced. By right hand grip rule this field is coming out of the plane of the paper. By Lenzs law, the induced current opposes the change , that is the decay of current , ie it should produce an outward flux.. So the induced current is in the counter clockwise direction.
Therefor the correct option is ( E ) - The direction of the induced current is counterclockwise
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