Given that the current in an electric circuit is I = Iocoswt and that the current passes through a resistance R
1) give an expression for P(t) power dissipated in the resistance. What are the peak and minimum values of P?
Then it defines the time average over 1 cycle as 1/T (integral from 0 to T) of f(t) dt where T=2pi/w
It asks us to find time average of I and P and illustrate the relevant integrals graphically
The Attempt at a Solution
Ok so I think P(t) = integral from 0 to t of R Io^2 cos^2wt dt?
Now I am stuck :P How do i find maximum and minimum values of P?
to i differentiate using fundamental theorem to say that P'=RIo^2cos^2 wt?
Then find where this is maximum and minimum?
Also any ideas for the next part? thanks>