What Frequency Makes Currents Equal in an RLC Circuit's Inductor and Resistor?

Click For Summary
SUMMARY

The discussion focuses on determining the frequency at which the current through an inductor equals the current through a resistor in an RLC circuit. The circuit configuration includes a resistor in series with another resistor, capacitor, and inductor in parallel. The solution involves using impedance calculations and applying the voltage divider equation to set the currents equal. The final step is to solve for the angular frequency (ω).

PREREQUISITES
  • Understanding of RLC circuit configurations
  • Knowledge of AC circuit analysis
  • Familiarity with impedance in electrical circuits
  • Proficiency in applying Kirchhoff's laws
NEXT STEPS
  • Study the concept of impedance in RLC circuits
  • Learn how to apply Kirchhoff's loop rule in AC circuits
  • Explore the voltage divider rule in parallel circuits
  • Research methods for solving for angular frequency (ω) in AC analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing RLC circuits and AC circuit behavior.

bemigh
Messages
29
Reaction score
0
Hey,
I have a problem with an RLC circuit. It consists of a resistor in series, followed by another resistor, capacitor, and inducer, all in parallel.
The question is asking for what frequency (its an AC circuit), is the current through the inducer the same as the resistor (the one in parallel).
Im unsure how to set up the problem... do i use Kirchoffs loop rule?? Or use impedances?
Any help would be appreciated
Cheers
Brent
 
Physics news on Phys.org
I would use impedances. Set up the equations for the various currents in terms of jw. You can use the equations for parallel impedances and then the voltage divider equation. Then at the end you just set the resistor and the incudtor currents equal and solve for w.

-Dale
 

Similar threads

Find w For AC RLC Circuit When Emf is In Phase With Current
  • · Replies 4 ·
Replies
4
Views
2K
Current in RLC Series Circuit: Need Help
  • · Replies 2 ·
Replies
2
Views
2K
Phasor diagrams for RLC circuit and resonant frequency
  • · Replies 3 ·
Replies
3
Views
5K
Series RLC and Parallel RLC circuits
  • · Replies 15 ·
Replies
15
Views
6K
RLC Low-Pass Circuit: Find Current in Resistor
  • · Replies 1 ·
Replies
1
Views
3K
Combined tensions of an RLC series circuit with AC current
  • · Replies 3 ·
Replies
3
Views
1K
Resonant frequency of L - R||C circuit
  • · Replies 21 ·
Replies
21
Views
2K
Calculation of current in driven series RLC circuit
  • · Replies 8 ·
Replies
8
Views
3K
Question about the energy stored in an RLC parallel resonant network
  • · Replies 44 ·
2
Replies
44
Views
6K
RLC Circuit Analysis with system of ODEs
  • · Replies 2 ·
Replies
2
Views
2K