Source transformations doesn't always produce same result?

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Discussion Overview

The discussion revolves around the concept of source transformations in electrical circuits, specifically focusing on the implications of transforming a voltage source into a current source in series RC circuits. Participants explore the behavior of voltage and current across components after such transformations, particularly in steady-state conditions.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses the belief that source transformations do not change a circuit, but acknowledges this may be an oversimplification.
  • It is proposed that in a series RC circuit with a DC voltage source, after transients, all voltage is across the capacitor and none across the resistor when the capacitor is fully charged.
  • Another participant suggests that transforming the voltage source into a current source with the resistor in parallel leads to a situation where current continues to flow through the resistor, resulting in voltage across both the resistor and capacitor.
  • A follow-up question is raised regarding the determination of voltage across a parallel setup of a current source, resistor, and capacitor when the capacitor is fully charged, questioning whether it is based on the current source or the voltage that would have been present had a source transformation not occurred.
  • One participant confirms the understanding that the final voltage across the parallel components will equal the current times the resistance.

Areas of Agreement / Disagreement

Participants generally agree on the behavior of the circuit components after source transformations, but there remains some uncertainty regarding the implications of these transformations in specific scenarios.

Contextual Notes

There are unresolved assumptions regarding the behavior of circuits during the transition from transient to steady-state conditions and the specific effects of source transformations on voltage and current distribution.

Who May Find This Useful

Readers interested in electrical engineering, circuit analysis, and the principles of source transformations may find this discussion relevant.

eng_stud
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I was under the impression that a source transformation doesn't change a circuit at all, which I guess is an oversimplification.

If you have a series RC circuit, with a DC voltage source, after the transients have died out, all voltage will be across the capacitor, and none across the resistor, as there is no current flowing anymore (when cap is fully "charged"), right?

If you now do a source transformation, changing the DC voltage source to a DC current source, with the resistor in parallel, you now have a parallel RC circuit with a DC current source. Now, surely, current will never cease as it has another path through the resistor. So after the capacitor is charged, all current goes through the resistor. So in this case there's voltage across both the resistor and capacitor?

This might all be incredibly obvious. I just want to make sure there is nothing here that I have misunderstood!:)
 
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Follow-up question: If you have a circuit with a 10 A dc current source, with a 3 Ohm resistor and a 0.02 F capacitor in parallel, what determines the resulting voltage across the parallel setup? When the capacitor is fully charged? Or the voltage that would have been the source had we done a source transformation? (i.e. v=ir=10*3=30 V across both components).

I'm assuming the latter?
 
Your understanding in both posts is correct. With a current source, a resistor and capacitor in parallel the final source voltage will be equal to the current times the resistance.
 
Thanks, skeptic2!
 

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