AC Circuit Analysis, RL,RC,RLC circuits

Impedence (Z)
A way to represent the reactance + resistance in an ac circuit in order to do calculations for V=IR
Note : j stands for imaginary (square root of -1)

RC circuit :
Z = 1/RCw j
RL circuit :
Z = 1/RLw
RLC circuit :
[to be added]

There are many ways to represent V=IR in an ac circuit Z are always used to replace R in ac circuit analysis and the calculation of the imaginary part is always seperated from the calculation of the real part.

1) V = Vmax [cos(wt + x)+sin(wt+x)]
2) V = ax + b
3) V = Vmax (e^(wt+x))
4) V = Vmax _wt+x