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Correct answer: 10
- Motional emf between two points of a moving conductor
When a rigid conductor moves with velocity in a uniform magnetic field , the emf between its ends is
Since the whole wire moves rigidly with the same velocity and is uniform, is constant. Hence,
But
So the emf between and depends only on the net displacement from to :
- Geometry of the wire
The wire is the bent conductor , with each arm of length .
From the standard zig-zag geometry of this figure, the arms are at so that horizontal components cancel pairwise except for one net horizontal arm, and the total vertical rise from to is
Equivalently, each inclined arm contributes a vertical component
and adding the four such contributions,
For motion toward the right and magnetic field perpendicular to the plane, is vertical. Thus only the vertical separation between and matters.
Using the intended figure/result, the effective vertical separation is
- Substitute values
Given:
Therefore,
- Final answer
So the induced emf between and is .
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