The superposition theorem for electrical circuits

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SUMMARY

The superposition theorem is applicable to electrical circuits containing resistors, capacitors, and inductors when the sources of electromotive force (emf) are connected in series. The validity of this theorem relies on the linearity of the circuit elements across their entire operational range. A detailed proof supporting this argument can be found in the referenced paper, which reinforces the conditions under which superposition holds true in linear circuits.

PREREQUISITES
  • Understanding of linear circuit theory
  • Familiarity with electrical components: resistors, capacitors, and inductors
  • Knowledge of electromotive force (emf) sources
  • Basic principles of circuit analysis
NEXT STEPS
  • Study the proof of the superposition theorem in linear circuits
  • Explore the concept of linearity in electrical components
  • Research series and parallel circuit configurations
  • Learn about the implications of non-linearity in circuit analysis
USEFUL FOR

Electrical engineers, physics students, and anyone involved in circuit design and analysis will benefit from this discussion on the superposition theorem and its application in linear electrical circuits.

Wuberdall
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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.
 
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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.
 

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