Phystic 2: Magnetic Field question? With Link
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Phystic 2: Magnetic Field question? With Link

[From: ] [author: ] [Date: 11-05-11] [Hit: ]
the flux is given as Flux = B * A. So the flux at t=0 is: Flux(0) = B * pi * r^2 = 0.5 * pi * 2^2 = 2 pi. After 0.25 s, the area is zero,......
The voltage is generated by the changing of the magnetic flux going through the loop. For a constant magnetic field, the flux is given as Flux = B * A. So the flux at t=0 is: Flux(0) = B * pi * r^2 = 0.5 * pi * 2^2 = 2 pi. After 0.25 s, the area is zero, so the flux will also be zero. That means the change of the flux changes from 2 pi to zero in 0.25 s. According to Wikipedia, the EMF (that is, the voltage) is given as EMF = - d Flux / dt. d Flux is nothing more than the change in flux, which is 2 pi - 0 = 2 pi. And dt is the time in which that happens, which is 0.25 - 0 = 0.25. So - d Flux / dt = 2 pi / 0.25 = 8 pi. So the EMF = -8 pi. This is you voltage.

The magnetic field point into the paper, which means the EMF calculated turns clockwise, but because of the minus sign, the actual voltage runs anticlockwise.
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