Explanation (or Proof) for network theorems?

AI Thread Summary
The discussion centers on the lack of proofs for fundamental network theorems used in circuit analysis, such as Kirchhoff's Laws, Thevenin's Theorem, and Norton's Theorem. Participants express confusion over whether these theorems are based on empirical methods or higher mathematics, noting that while applications are straightforward, the underlying proofs are elusive. Some contributors suggest that these theorems can be derived from Maxwell's equations and principles of charge conservation, although the derivation process is complex. The conversation highlights the need for accessible resources that provide both proofs and theoretical foundations for these theorems. Overall, the quest for a deeper understanding of network theorems remains a challenge for students in the field.
ArchKudo
Messages
1
Reaction score
0
We started Network analysis and we were given Circuit Diagrams to be reduced using the following:
  1. Kirchoff's Laws i.e KVL and KCL
  2. Source Transformation
  3. Superposition Theorem
  4. Thevenin's Theorem
  5. Norton's Theorem and
  6. Star-Delta Conversion
However I wasn't given proofs for any of these theorem just their application (which is really easy) and now, I can't find their proofs on the internet too!
So, are these theorems based on empirical method or do they use higher mathematics?
And if not it would be great if someone could provide me with their proofs

ps: I can guess why some theorems are true like KVL or KCL because of energy conservation I suppose and Superposition theorem is relate-able to Superposition of electric fields and its relation with electric potentional but it is still confusing
 
Physics news on Phys.org
They all can be derived from the Maxwell equations and charge conservation, those two are based on experiments. Introductory textbooks on electrostatics and circuits might cover that in more or less detail. Getting Kirchhoff's laws out of them is not so straight forward, getting the others from those laws is mainly mathematics.
 
  • Like
Likes ArchKudo

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »
Thread 'Beam on an inclined plane'

Thread 'Beam on an inclined plane'

Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
View full post »

Similar threads

How to selfstudy to learn (electronics) network analysis (Thevenin, Norton)?
Replies
2
Views
1K
Formal proof of Thevenin theorem
Replies
6
Views
2K
Two networks described by v-i graph: Find voltages when interconnected
Replies
1
Views
1K
Engineering Finding the Thevenin Equivalent Circuit for a Network with a Load Resistor
Replies
1
Views
2K
I Explanation of a Line of a proof in Axler Linear Algebra Done Right 3r
Replies
4
Views
2K
When to Use a Two-Port Representation for a Quadripole in External Circuits?
Replies
2
Views
1K
B How can scalars like voltage, impedance, etc. be added like vectors?
Replies
17
Views
2K
I The far reaching ramifications of the work-energy theorem
Replies
31
Views
3K
D/C Circuit with one current and voltage source
Replies
6
Views
2K
Norton's Theorem and Thevenin's theorem
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top