A very long horizontal wire (orange in the diagram) carries a current I that flows to the left. A circular wire loop is directly above the wire with a radius R. Its face is aligned with the wire so that the loop and wire lie in the same plane. It falls at a constant velocity ∣v⃗∣ directly toward the wire without spinning. Its center is located a distance rrr away from the wire, where r≫Rr so that the magnetic field can be taken to be constant across the loop. 1. What is the magnitude of the induced $emf$ of the wire loop? 2. Describe the direction of the current in the loop and the net magnetic force acting on the wire loop. As the loop falls would it stay a perfect circle or deform?

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A very long horizontal wire (orange in the diagram) carries a current I that flows to the left. A circular wire loop is directly above the wire with a radius R. Its face is aligned with the wire so that the loop and wire lie in the same plane. It falls at a constant velocity ∣v⃗∣ directly toward the wire without spinning. Its center is located a distance rrr away from the wire, where r≫Rr so that the magnetic field can be taken to be constant across the loop.

1. What is the magnitude of the induced $emf$ of the wire loop?

2. Describe the direction of the current in the loop and the net magnetic force acting on the wire loop. As the loop falls would it stay a perfect circle or deform?

R
r
I
€ <E -
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Transcribed Image Text:R r I € <E - 1>
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