An RLC circuit has an AC voltage source E = 120.V sin(wt), R = 500.0Ω, L = 40.0mH, and C = 20.0nF.
a) Find the resonant voltage frequency (in Hz) and the average power dissipated at this frequency.
b) Find the impedance, and the inductive and capacitive reactance (in Ω).
c) Find the phase angle ϕ between the max voltage and the current. Does the max voltage lead or lag the current?
d) Find the rms current in the circuit and the rms voltage (in V) at the resistor and capacitor.
e) What fraction is the rms current at 2kHz of the rms current in (a) [i.e., find I / Iresonance]