Resonance Curve - Do I have enough info?

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SUMMARY

The discussion focuses on drawing accurate resonance curves for a sinusoidally driven RLC circuit with specific parameters: C = 0.01uF, L = 0.01mH, and two resistance values, R = 20 ohm and R = 200 ohm. The user expresses difficulty in finding examples of resonance curves and seeks clarity on how to integrate the formulas provided, including the relationship between current and voltage at resonance. A key insight shared is the suggestion to plot the ratio of Irms to Vorms, which requires calculating the complex impedance Z of the circuit.

PREREQUISITES
  • Understanding of RLC circuit components (Resistor, Inductor, Capacitor)
  • Familiarity with resonance concepts in electrical circuits
  • Knowledge of complex impedance in AC circuits
  • Ability to manipulate sinusoidal functions and phase angles
NEXT STEPS
  • Calculate the complex impedance Z for RLC circuits
  • Learn how to plot resonance curves for RLC circuits
  • Explore the relationship between Irms and Vorms in AC circuits
  • Study the effects of varying resistance on resonance behavior
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in analyzing RLC circuit behavior and resonance characteristics.

phyzmatix
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Homework Statement



For a sinusoidally driven RLC circuit.

Draw accurate resonance curves for C = 0.01uF, L = 0.01mH and
i) R = 20 ohm
ii) R = 200 ohm

2. The attempt at a solution

Believe it or not, I do not have a single example of resonance curves in any of my textbooks. However, from my internet searches, I believe the resonance curves are supposed to look something like the one here:

http://hyperphysics.phy-astr.gsu.edu/HBASE/electric/imgele/qresi.gif"

I know that at resonance,

i_0=\frac{V_0}{R}

also

\omega_0 = \frac{1}{\sqrt{LC}}

and that

i=i_0\cos(\omega t + \phi)

But how do I bring this all together into something coherent? Am I not supposed to know what V0 is?

Thanks!
phyz
 
Last edited by a moderator:
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If you're not given Vo, you could plot the ratio Irms/Vorms instead of just Irms.

This will involve calculating the complex impedance Z for the circuit, which can be used to get Irms/Vorms.
 

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