To analyze an AC circuit carry out the following steps:

- calculate the capacitive reactance X
_{C}and the inductive reactance X_{L} - find the impedance, Z
- find the maximum or rms current
- find the phase angle, f

With all those numbers at your disposal you should be able to determine anything you want about the circuit.

It's interesting to look at the potential differences across the different components as a function of time.

The current in the circuit is i(t) = I_{max} sin(wt)

The voltage from the AC source is Dv = DV_{max} sin(wt + f)

The source voltage must be equal to the sum of the voltages across the resistor, capacitor, and inductor at all times:

Dv = Dv_{R} + Dv_{C} +
Dv_{L}

where:

Dv_{R} = DV_{Rmax} sin(wt)

Dv_{C} = -DV_{Cmax} cos(wt)

Dv_{L} = DV_{Lmax} cos(wt)

DV_{Rmax} = I_{max} R

DV_{Cmax} = I_{max} X_{C}

DV_{Lmax} = I_{max} X_{L}