Circuits Problem: Find Voltage Across Resistor, Capacitor, Inductor

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Discussion Overview

The discussion revolves around a homework problem involving a parallel circuit consisting of a resistor, capacitor, and inductor. Participants are tasked with finding the voltage across these components, with specific values provided for resistance, inductance, and capacitance. The scope includes theoretical analysis and application of circuit equations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about how to approach the problem, mentioning attempts with node-voltage and mesh current methods without success.
  • Another participant questions the completeness of the problem, asking for details about the power supply and its frequency, suggesting that this information is necessary for a proper analysis.
  • A later reply indicates that the problem may involve analyzing the circuit's response to a unit step or impulse, hinting at the relevance of damping in oscillations.
  • There is a suggestion to investigate the damping factor for the parallel RLC circuit to classify it as underdamped, critically damped, or overdamped.
  • A participant acknowledges a lapse in recalling the formula for RLC circuits, indicating a need for further review of relevant concepts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to proceed with the problem, as there are multiple competing views regarding the necessary information and the approach to take. The discussion remains unresolved with respect to the solution.

Contextual Notes

Participants note the potential need for additional information about the power supply and its characteristics, which could affect the analysis. There is also an emphasis on understanding the damping behavior of the circuit, which may not be fully addressed without further details.

Red_CCF
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Homework Statement



A circuit with a resistor, capacitor, and inductor all connected in parallel with resistance = 5000 ohm, inductance = 1.25H and capacitance = 8nF, find the voltage across the components.

Homework Equations



v = L*di/dt, i = C*dv/dt, v = iR

The Attempt at a Solution



I'm not sure what to do, I tried both node-voltage and mesh current but can't get at a solution
 
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Hi Red_CCF! :smile:

Don't we need some more information? :confused:

What is the power supply (and if it's AC, what is the frequency)?
 
tiny-tim said:
Hi Red_CCF! :smile:

Don't we need some more information? :confused:

What is the power supply (and if it's AC, what is the frequency)?

Hi

Thanks for the response. I uploaded the problem with the drawing of the circuit. They just drew the three components connected in parallel, defined an unknown voltage across them and asked for the voltage response.
 

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    Circuits Problem.jpg
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Presumably the "response" required will be that due to a unit step or impulse applied to the circuit.

You should investigate the concept of damping for oscillations. You should be able to find the expression for the damping factor for the parallel RLC circuit and determine whether this circuit is underdamped, critically damped, or overdamped.
 
gneill said:
Presumably the "response" required will be that due to a unit step or impulse applied to the circuit.

You should investigate the concept of damping for oscillations. You should be able to find the expression for the damping factor for the parallel RLC circuit and determine whether this circuit is underdamped, critically damped, or overdamped.

Thanks very much. I completely forgot about the formula for RLC circuits
 

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