Probably a simple question but I'm getting a bit confused on this:
A student builds a simple alternator consisting of a coil containing 500 turns, each of area 10cm^2, mounted on an axis that can rotate between the poles of a permanent magnet of strength 80mT. At a frequency of 50Hz, it is found that the peak voltage produced is 12.6V a) What are the peak to peak and RMS voltages
b)If the frequency is doubled to 100hz, how will the peak and RMS voltages change?
B is what i'm having trouble with. I'm kind of having a mind blank trying to put my maths and physics skills together here, but how does the increased frequency produce a great EMF? I understand it when talking about a greater change of flux since it is now moving faster, but i don't really understand it graphically. Well basically the whole electric power generation chapter in my textbook goes over it all in like 2 pages. I understand that they differentiate the flux (
and that it equals the induced EMF, but i don't understand the angular velocity part of the equation (
). The book also does some stuff to be able to use frequency but I'm just not understanding it at all.
Thanks