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.
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.