31. Alternating Current

What's the impedance of a parallel RC AC circuit?

An AC source operates at a maximum voltage of 120 V and an angular frequency of 377 s^-1 . If this source is connected in parallel to a 15 Ω resistor and in parallel to a 0.20 mF capacitor, answer the following questions: 

a) What is the maximum current produced by the source? 

b) What is the maximum current through the resistor? 

c) What is the maximum current through the capacitor?

In an AC circuit containing resistance $R$ and reactance $X$, how is the total circuit impedance $Z$ represented?

In an AC circuit, why can't $Z$ (impedances) in series simply be added as ordinary numbers to find the total circuit impedance?