Five loops are formed of copper wire of the same gauge (cross-sectional area). L
ID: 1431743 • Letter: F
Question
Five loops are formed of copper wire of the same gauge (cross-sectional area). Loops 1 – 4 are identical; loop 5 has the same height as the others but is longer. At the instant shown, all the loops are moving at the same speed in the direction indicated.
There is a uniform magnetic field point into the page in region I; in region II there is no magnetic field. Ignore any interactions between the loops.
a) For any loop that has an induced current, indicate the direction of the current. See blue arrows
b) Rank the magnitudes of the emfs around the loops. Explain your reasoning.
EMFs are proportional to the change in flux. 2 and 3 have no change in flux, thus no EMF. The EMFs of 1, 4, and 5 is all the same magnitude, which is non-zero. This is because they are the same height and same speed so the amount of B-field going through them changes equally over time.
c) Rank the magnitudes of the currents in the loops. Explain your reasoning.
There is zero current in 2 and 3. There is a large current in 1 and 4, that is, it is large in comparison to the current in 5, which is less (but non-zero) because there is more wire, thus more resistance (recall resistivity resistance relation).
IL 3 4 5 2Explanation / Answer
Acording to right hand thumb rule we can find the direction of induced current.
induced will always opposes the change in flux.
1.) Clockwise, magnetic flux is decreasing so that cloclwise induce current will produce to nullify the changes in flux.
2.) No current will induce because there is no changes magnetic flux.
3.)
No current will induce because there is no changes magnetic flux.
4.)Anticlockwise current will induce to reduce the magnetic flux through it.
5.)Anticlockwise current will induce to reduce the magnetic flux through it.
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