Thank you for clarifying this for me. I noticed this problem was weird for the same reason you stated (usually they give you a value for R and then you proceed from there).
I rechecked and re-did all my calculations. Turns out that R does equal 10.4 ohms. I found this by finding the current...
So does the value R across the resistor simply equal the value of the resistance across Vc and VL (Vc= 10.4Ω and VL=10.4Ω but since they are 180° out of phase they end up canceling each other out.) ?
I mean to say does R=10.4 ohms?
1. An RLC series circuit has C= 4.8mF, L=0.520H, and source voltage amplitude V= 56.0V. The source is operated at the resonance frequency of the circuit. If the voltage across the capacitor has amplitude 80.0V, what is the vaule of R for the resistor?
2. ##I = (ΔVc)/(Xc)##,
##Xc=...