The superposition theorem for electrical circuits

Click For Summary

Discussion Overview

The discussion centers on the validity of the superposition theorem for electrical circuits that include only resistors, capacitors, and inductors, specifically when the sources of electromotive force (emf) are connected in series. Participants explore arguments for and against the application of the theorem in this context.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses difficulty in finding a valid argument supporting the fulfillment of the superposition theorem for the specified circuit configuration.
  • Another participant inquires if there are any arguments against the validity of superposition in such circuits.
  • A third participant provides a link to a proof that may address the case in question.
  • A later reply reiterates the initial concern and emphasizes that the validity of the theorem depends on the linearity of the circuit elements and sources across the entire range.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple viewpoints regarding the validity of the superposition theorem in the discussed context.

Contextual Notes

The discussion highlights the importance of linearity in circuit elements and sources, but does not resolve the implications of this condition on the theorem's validity.

Wuberdall
Messages
32
Reaction score
0
Hi fellow physicist!

I have some trouble with finding a valid argument, for why the superposition theorem should be fulfilled for electrical circuits - there only containing resistors, capacitors and inductors - where the sources of the emf. are connected in series.

Thanks in advance.
 
Physics news on Phys.org
Have you found any valid arguments why superposition shouldn't be valid for such circuits?
 
Wuberdall said:
Hi fellow physicist!

I have some trouble with finding a valid argument, for why the superposition theorem should be fulfilled for electrical circuits - there only containing resistors, capacitors and inductors - where the sources of the emf. are connected in series.

Thanks in advance.
It all hinges on the elements (incl. the sources) being linear over the whole range.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
Replies
152
Views
8K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 2 ·
Replies
2
Views
11K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 36 ·
2
Replies
36
Views
7K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K