How to Determine Voltage and Current in an RLC Circuit?

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SUMMARY

To determine voltage and current in an RLC circuit, start by calculating the reactance values, specifically the inductive reactance (XL) and capacitive reactance (XC), using the angular frequency (omega = 100). Employ Thevenin source transformations to simplify the circuit, converting the voltage source in series with a 5-ohm resistor into a current source with a parallel 5-ohm resistor. This approach allows for easier application of Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) equations to find branch currents and voltages. Ultimately, use phasors to analyze the circuit and derive the necessary electrical parameters.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with Thevenin source transformations
  • Knowledge of phasor analysis in AC circuits
  • Proficiency in applying Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL)
NEXT STEPS
  • Study Thevenin's theorem and its applications in circuit analysis
  • Learn about calculating inductive and capacitive reactance in AC circuits
  • Explore phasor representation and analysis techniques
  • Review examples of KVL and KCL applications in RLC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and professionals involved in AC circuit analysis and RLC circuit optimization.

xporten
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Homework Statement
I need to find V0
Relevant Equations
Vs=14.14cos(100t)V
Hi
i want to know just how to approach this question.
i know the omega=100 then should i find XL and XC? and then find the voltage in points c and d?
also how do i find the current that enters point c?
142753.png

thanks a lot.
 
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Do you know about the Thevenin source transformations? That's where I'd start. The other (harder) approach is to write out the KVL and KCL equations and solve them. Yes you will need Xl and Xc.
 
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I would start by doing a source transformation of Vs(t) in series with the 5 ohm resistor and make that into a Vs(t)/5 current with a parallel 5 ohm resistor. This now puts everything in that circuit in parallel simplifying it considerably. I hope you realize that the branch containing R2 and C is in parallel with the branch containing L and R3 and they are all in parallel with Ix. AT that point just do a single node voltage equation with phasors. That will give you the currents and voltages in all the branches. (The current through C is the same as the current through R2 as they are in series, BTW) Once you have the branch currents and voltage drops just do a KVL around either Vo, R2 and L or Vo C and R3.
 

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