What are the implications of Thevenin equivalent circuits on circuit behavior?

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Discussion Overview

The discussion revolves around the implications of Thevenin equivalent circuits on circuit behavior, particularly focusing on whether Thevenin equivalents can accurately represent reactive circuits as well as resistive ones. Participants explore the conditions under which Thevenin equivalents maintain the same output characteristics and the potential differences in behavior between the original and equivalent circuits.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about whether Thevenin equivalents simplify circuits while maintaining the same output characteristics, suggesting that the behavior of components like resistors may differ from the original circuit.
  • Another participant asserts that if a Thevenin equivalent does not behave the same as the original circuit from the perspective of the rest of the circuit, it cannot be considered a true equivalent.
  • Some participants argue that Thevenin equivalents are applicable to reactive circuits, citing that in AC circuits, maximum power transfer occurs when the load impedance is the complex conjugate of the Thevenin impedance.
  • A participant mentions that the Norton source can be transformed into its Thevenin equivalent and discusses the need for effective resistance and inductance to be in series to find the time constant.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the applicability of Thevenin equivalents to reactive circuits, with some asserting they are limited to resistive circuits while others argue they are valid for reactive scenarios as well. The discussion remains unresolved on this point.

Contextual Notes

Some participants reference specific circuit examples and conditions, but there are unresolved assumptions regarding the definitions and characteristics of Thevenin equivalents in different circuit contexts.

Mjmuk
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Hiya, this is my first time posting so apologies for any errors in formatting. :oldsmile:
I am confused as to whether when Thevenising a portion of a circuit is it to simplify BUT provide the same output characteristics, meaning the workings of the Thevenin part of the circuit may behave completely differently to the original circuit?

I have an example which may explain this better (hopefully it attached, if not here's a link http://imgur.com/VGa0TI5 ) by Thevenising the left hand side initially I assumed it would make the question easier but the answers turn out to be different when concerning the resistor in particular, is this because the Inductor 'sees' the same characteristics as before but the resistor behaves differently?

Many Thanks
 
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Mjmuk said:
Hiya, this is my first time posting so apologies for any errors in formatting. :oldsmile:
I am confused as to whether when Thevenising a portion of a circuit is it to simplify BUT provide the same output characteristics, meaning the workings of the Thevenin part of the circuit may behave completely differently to the original circuit?
If the "Thevenin equivalent" is not exactly equivalent as far as the rest of the circuit is concerned, then it is not equivalent, so not a Thevenin equivalent. How it works internally is irrelevant as long as the rest of the circuit can't tell the difference.

As far as I am aware, Thevenin equivalents are for resistive circuits, not reactive circuits.
 
There were 3 files attached. They seemed to be identical so I have deleted two.
 
phinds said:
As far as I am aware, Thevenin equivalents are for resistive circuits, not reactive circuits.
I believe Thevenin equivalents are also for reactive circuits.(e.g. In case of ac circuits, maximum power is transferred to the load if the load impedance is complex conjugate of the Thevenin impedance viewed from the load terminals.)
The circuit shown in the OP can be reduced to its Thevenin equivalent.
 
cnh1995 said:
I believe Thevenin equivalents are also for reactive circuits.(e.g. In case of ac circuits, maximum power is transferred to the load if the load impedance is complex conjugate of the Thevenin impedance viewed from the load terminals.)
The circuit shown in the OP can be reduced to its Thevenin equivalent.
OK, it's been a very long time since I took EE and if I ever knew that I had forgotten it. Thanks.
 
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The Norton source can be replaced by its Thevenin equivalent. A source transformation will do. To find the time constant, effective R and L need to be in series.
 

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