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, φ

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(ωt)

The voltage from the AC source is Δv = ΔV_max sin(ωt + φ)

The source voltage must be equal to the sum of the voltages across the resistor, capacitor, and inductor at all times:
Δv = Δv_R + Δv_C + Δv_L

where:
Δv_R = ΔV_Rmax sin(ωt)
Δv_C = -ΔV_Cmax cos(ωt)
Δv_L = ΔV_Lmax cos(ωt)

ΔV_Rmax = I_max R
ΔV_Cmax = I_max X_C
ΔV_Lmax = I_max X_L