Induced current in a metal ring

AI Thread Summary
A metal ring with a radius of 10cm and resistance of 0.1Ω moves through a magnetic field of 0.4T at 5m/s, inducing an electrical current. The discussion revolves around calculating the induced voltage using Faraday's law of induction and determining the direction and value of the current as the ring passes through different positions in the magnetic field. Participants suggest various approaches, including using effective length and motional emf formulas, while debating the need for calculus versus simpler methods. The induced emf is noted to vary sinusoidally as the ring enters and exits the field, with some confusion about the implications of the ring being a closed loop. Ultimately, the problem requires a combination of trigonometry and calculus to accurately describe the induced emf over time.
  • #51
malemdk said:
That's what try to mean,
What is?
Are you still insisting that the induction is a sinusoidal function of time? Or do you now accept that the graph of it against time while crossing each wire is a half ellipse?
 
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  • #52
LogarithmLuke said:
Why isn't it constant when the speed is constant and the rate of change in area is constant?

The problem doesent specify, but based on the answers section were supposed to find the average and max values for each of the positions. However, positions 1,3 and 5 all have emf values of 0 (why is this?), so in reality only for positions 2 and 4.

Like i said the entire problem statement is in the first post, however the creators of the physics textbook were quite unclear in the way they formulated the problem. I am sure there is still a lot to learn through working with this though.
Did you try to get the increase of area (proportional to increase of flux) as a function of time? If you didn't see the picture maybe it will help you.
1486605895147.jpeg
 
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