Talk:Superposition theorem
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[edit]Bipolar Junction Transistor (BJT) networks
[edit]The superposition theorem also is applicable for the analysis and design of the dc and ac
Circuits utilizing voltage controlled devices such as the JFET and IGFET are treated differently because transconductance functions are involved. This means that the currents flowing in different branches do not "superpose" in the usual manner (because some currents are voltage-controlled from other branches of the circuit), so superposition cannot be used directly on the complete circuit. This same limitation applies to vacuum tube circuits. Superposition Theorem The total current in any part of a linear circuit equals the algebraic sum of the currents produced by each source separately. To evaluate the separate currents to be combined, replace all other voltage sources by short circuits and all other current sources by open circuits
The above seems very confused. First, a BJT is a transconductance device too. Second, it doesn't matter. As long as the circuit is linear, superposition holds even if the sources are controlled. Please see this paper: [1] Alfred Centauri 13:38, 15 May 2007 (UTC)
Superposition of dependent sources
[edit]I have restored the link to W.M. Leach's paper on the validity of superposition with dependent sources. The original reason given for deleting this link was that the paper was "rejected for publication explicitly because it is not correct". While it is a fact that it was rejected for publishing, it is not a matter of fact that it was rejected for being explicitly incorrect. In fact, that superposition of dependent sources is valid is now part of the literature. On page 100 of of the 4th edition of "Electrical Engineering Principles and Applications" by Allan R. Hambley, we find the section entitled "A New Approach to Solving Circuits with Controlled Sources Using Superposition". Several examples are given and Leach's paper is referenced. Alfred Centauri (talk) 13:53, 1 November 2017 (UTC)
- @Alfred Centauri:Fascinating that you can remember that I did that two and half years ago. I can't even remember what happened two and a half days ago. SpinningSpark 14:18, 1 November 2017 (UTC)
Proof
[edit]Why not add a proof of the theorem. I think it should be added in detail. It is stated in this article that this book "R. E. Scott, Linear Circuits, New York: Addison-Wesley, 1960" contains a proof.--Diraniyoussef (talk) 11:58, 20 January 2021 (UTC)