AC circuit with dependant current and voltage source and open circuit element

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Discussion Overview

The discussion revolves around a problem involving an AC circuit with dependent current and voltage sources, focusing on the methods to analyze the circuit to find a specific voltage (Vx) in terms of a given current (Ix). The scope includes circuit analysis techniques such as mesh and node analysis.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests using mesh/node analysis and super node analysis to tackle the problem, questioning whether to find Vx in the loop with the dependent voltage source first.
  • Another participant indicates that the problem specifically asks for Vx in terms of Ix and proposes that the left-hand loop can be ignored, focusing instead on the current produced by the middle current source.
  • A participant seeks clarification on whether to find the current through specific resistors while ignoring the dependent voltage source.
  • Another response reiterates the idea of ignoring the left-hand loop and emphasizes that Ix is a given current, suggesting the goal is to derive an expression rather than a numerical result.
  • One participant proposes a method to approach the problem by focusing on the right-hand side of the circuit, suggesting to take the input as 30*Ix and to write the equation accordingly.

Areas of Agreement / Disagreement

Participants express differing views on whether the left-hand loop should be considered in the analysis, with some advocating for its exclusion while others question the implications of ignoring it. The discussion remains unresolved regarding the best approach to analyze the circuit.

Contextual Notes

There are limitations in the assumptions made about the circuit elements and the dependence on specific definitions of the components involved. The discussion does not resolve the mathematical steps necessary to derive Vx in terms of Ix.

Yarnzorrr
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I've been given the following problem (attached), not sure how to tackle this one, do I use mesh/node analysis and super node analysis, or can I find the v in the loop with the dependent voltage source then use that as the supply to the second and third loops?

Not sure, any help would be appreciated. Thanks!
 

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The problem asks you to find Vx in terms of Ix. Seems to me that you can ignore the left hand loop entirely for this and just assume that Ix is, well, Ix. So what current does the current source in the middle produce?
 
So I just find the current through the 2 and 1 KΩ on the left, ignoring the dependent voltage source?
 
Yarnzorrr said:
So I just find the current through the 2 and 1 KΩ on the left, ignoring the dependent voltage source?
No, you just ignore the left hand loop entirely. Ix is the given current; You're looking for an expression (equation), not a numerical result.
 
eg just look at the right hand side. Take the input as 30*Ix. Write the equation and divide by 30.
 

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