Consider a simple alternating current generator such as Hippolyte Pixii’s dynamo. The current generated by such dynamo can be described as simple oscillating cosine signal. Assuming for simplicity that the max current generated each time a pole of Pixii’s magnet passed the coil is (2/pi)0.5 amperes and that the magnet rotate with a characteristic angular frequency ù0.

Consider a simple alternating current generator such as Hippolyte Pixii’s dynamo. The current generated by such a dynamo can be described as a simple oscillating cosine signal. Assuming for simplicity that the maximum current generated each time a pole of Pixii’s magnet passes in front of the coil is (2/pi)0.5 amperes and that the magnet rotates with a characteristic angular frequency ù0. Write the mathematical expression for the signal in the time domain (current versus time) of such an alternating current generator. For simplicity, suppose that the magnet was already rotating at the start of the observation and that the pole of the magnet was just below the coils at time zero.

I don’t really know how to start, I just need to know that I need something that relates current with time and the equation should have a cosine.

Thanks for any help