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## Homework Statement

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

## Homework Equations

## 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>