Deriving a formula for Impedance for an AC circuit

[Battlemage!]

Homework Statement

Find the impedance of the circuit (R and L in series, and then C in parallel with them). A circuit is said to be in resonance if Z is real; find ω in terms of R, L, and C at resonance.

Here is the circuit:

http://img382.imageshack.us/my.php?image=g...ccircuitgf5.png

Homework Equations

The objective is to derive the equation. I'm not really sure where to start.

The Attempt at a Solution

For whatever reason, I never covered impedance of an AC circuit in intro physics II. Now in my mathematical methods of physics class we have a problem that requires you to work with it. I have no idea what to do here, and I'm certain something like this will be on the test next week. Basically, the only thing I am asking for is hints on where to start.

It would be appreciated if

a.) someone helped me with where to start

b.) someone posted links to remedial topics on AC circuits (as I said, we didn't not cover much with AC circuits in Physics II)


Thanks!

 

[sirijo246]

http://webhw.unca.edu/roberts_phys222/Content/chapters/s11/11_resonance.asp

 

[Redbelly98]

Battlemage!, does your textbook or class notes give equations for the impedance of resistors, capacitors, and inductors separately?

Once you have those, they combine just like resistors do in terms of series and parallel components.