# Resonant frequencies of simple RLC circuit

1. Sep 3, 2009

### Nissen, Søren Rune

I need to find the resonant frequency of the circuit shown in the diagram.

http://img216.imageshack.us/img216/1750/gdmn.jpg [Broken]

The loop has a value of 1H, the capacitor has a value of 0.2F and the resistor has a value of 10 ohm.

My initial approach has been to try and find the total admittance of the circuit, to see what frequencies would mean Im(Y)=0, but that doesn't seem to work. Does this look like the correct admittance to you?

Y = 1/(1/[1/jwL]+1/[jwC+0.1])

(w is used as a substitute for omega)

Last edited by a moderator: May 4, 2017
2. Sep 3, 2009

### CEL

Well, 1/1/jwL = jwL.
$$Z=j\omega L + \frac{1}{j\omega C + 0.1}$$