Engineering Resonant frequencies of simple RLC circuit

AI Thread Summary
To find the resonant frequency of the given RLC circuit, the total admittance approach was initially considered, but it proved ineffective. The correct admittance expression was confirmed, and the discussion suggested using impedance for simplification. The impedance equation is Z = jωL + 1/(jωC + 0.1), which is a more straightforward representation. Resonance occurs when the imaginary part of the impedance is zero, leading to the calculation of the resonant frequency. Understanding these concepts is crucial for analyzing RLC circuits effectively.
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

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)
 
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Well, 1/1/jwL = jwL.
And you can use impedance, instead of admittance.
So, your expression is correct, but could be simpler:
Z=j\omega L + \frac{1}{j\omega C + 0.1}
 
Thank you
 

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