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## Homework Statement

For this sample exam, we are given an RLC circuit, with an alternative emf of 1 V, connected all in series with a 500 ohm resistor, a .4 mH inductor, and two capacitors in parallel of 50 pF each.

It asks for the "maximum power dissipated by the resistance" and at what frequencies w would the max power be half as large.

## Homework Equations

I am not sure if the question is asking for the power dissipated by resistor, or the entire circuit.

If it were just the resistor, Pmax = (Ipeak)squared * R

But if it were the entire circuit, Pmax = (Irms)(Vrms)cos(phi)

where, (Irms) = (Vpeak/Z)/Sqrt(2) and (Vrms) = (Vpeak)/Sqrt(2) and cos(phi) = (R/Z) I believe.

The frequency = 1/Sqrt(LC)

## The Attempt at a Solution

I know how to find the Pmax, but I just need to know for that, if it is the resistor or the entire circuit its asking for.

However for the frequency, I am somewhat stuck.

Would I try to use the derivation of <P> = <[(Ipeak)sin(wt-phi)][(Vpeak)sin(wt)]?

Please help, thank you.