Parallel RLC Circuit: Using General Impedance Equation

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Homework Help Overview

The discussion revolves around the application of the general impedance equation in the context of a parallel RLC circuit, specifically addressing the configuration of resistors and their relationship with other components in the circuit.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore whether the general impedance equation can be applied when resistors are not directly in parallel with other components. There are attempts to clarify the configuration of the circuit, particularly the arrangement of resistors and reactive components.

Discussion Status

Some participants have provided insights into the circuit's configuration and the need to consider reactance in AC circuits. There is an ongoing exploration of the implications of the circuit setup on the overall impedance, with no clear consensus reached yet.

Contextual Notes

The discussion includes references to specific equations related to the circuit's components, indicating a focus on the mathematical relationships involved. There is an acknowledgment of the AC nature of the circuit, which influences the approach to calculating impedance.

wetwilly92
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Quick Question...

Given:
rlcpar.gif


Can I still use the general impedance equation for parallel RLC circuits even though the resistors are not in parallel with the other components? Substituting the two resistors for a single resistor with the equivalency resistance?
 
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The first leg is (Rc and C in series) and this combination is in parallel with (Rl and L in series)
 
technician said:
The first leg is (Rc and C in series) and this combination is in parallel with (Rl and L in series)

Does this give us...

1) Q2/C - ICRC - V = 0
2) ILRL - (L * diL/dt) - V = 0

Or am I just completely off?
 
The circuit is an AC circuit so you need to use Reactance of C... Xc =1/ωC to get an expression for the impedance of the Rc C arm.
You need to use Xl = ωL to get an expression for the Impedance of the Rl L arm
The overall impedance is these 2 impedances in parallel.
 

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