Resonant frequencies of simple RLC circuit

Click For Summary
SUMMARY

The resonant frequency of a simple RLC circuit can be determined using the impedance formula Z = jωL + 1/(jωC + 0.1). In this discussion, the circuit consists of an inductor with a value of 1H, a capacitor of 0.2F, and a resistor of 10 ohms. The approach to find the resonant frequency involves calculating the total admittance, but using impedance is more straightforward. The correct expression for impedance simplifies the analysis of resonant frequencies in RLC circuits.

PREREQUISITES
  • Understanding of RLC circuit components (resistor, inductor, capacitor)
  • Familiarity with complex impedance and admittance
  • Knowledge of angular frequency (ω) in circuit analysis
  • Basic circuit analysis techniques
NEXT STEPS
  • Study the concept of resonant frequency in RLC circuits
  • Learn how to derive the impedance of RLC circuits
  • Explore the effects of resistance on resonance
  • Investigate the use of phasors in AC circuit analysis
USEFUL FOR

Electrical engineers, physics students, and hobbyists interested in circuit design and analysis, particularly those focusing on RLC circuits and resonance phenomena.

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)
 
Last edited by a moderator:
Physics news on Phys.org
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
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 40 ·
2
Replies
40
Views
6K
  • · Replies 32 ·
2
Replies
32
Views
4K
  • · Replies 21 ·
Replies
21
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
19
Views
3K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K