Hi,
For just one resistor connected in series with one capacitor connected also in series with an AC voltage source the solutions are:
vC=Vs/sqrt(w^2*C^2*R^2+1)
THC=-atan(w*R*C)
vR=Vs*w*C*R/sqrt(w^2*C^2*R^2+1)
THR=atan(1/(w*R*C))
I=Vs*w*C/sqrt(w^2*C^2*R^2+1)
THI=atan(1/(w*R*C))
vC is the AC voltage across the capacitor, vR is the AC voltage across the resistor, I is the AC current, THC is the phase shift of the voltage across the capacitor, THR is the phase shift of the voltage across the resistor, THI is the phase shift of the current, w is the angular frequency w=2*pi*f, f is the frequency in Hertz.
All phase shifts relative to the AC source voltage (Vs) phase.