Circuit Theory is a very important subject included in the first year curriculum for both electrical and electronic engineering. The subject mainly deals with the analysis of linear electrical circuit containing linear passive elements, independent linear voltage and current sources and linear controlled sources. For this purpose two different techniques viz., node equation technique and loop equation technique are used that are derived from Kirchoff’s current law and Kirchhoff’s voltage law respectively. The node equation technique, for example, is suitable for circuits containing current sources and the loop equation technique is suitable for circuits containing voltage sources. In order to accommodate both types of generators, source transformation is recommended. However, this concept being related to Thevenin and Norton’s theorems; it becomes difficult to teach source transformation unless these theorems are known to the students. On the other hand circuit theorems cannot be explained unless the students are conversant with the circuit analysis techniques. Moreover source transformation cannot be used for ideal sources. To combat these difficulties we can modify both the node equation technique and the loop equation technique that will be capable of handling circuits containing any type of linear electrical sources. In modified node equation technique the voltage sources and all the controlled sources are replaced by unknown current sources. In case of an independent voltage source the extra equation necessary to solve for the unknown current is obtained by equating the difference of the relevant terminal voltages with the output voltage of the generator. For controlled sources the control laws are used to get the necessary extra equations.
Similar modification can be made for loop equation technique. That is all the current sources and the controlled sources are replaced by unknown voltage sources. In case of an independent current source the extra equation necessary to solve for the unknown voltage is obtained by equating the sum of the relevant loop currents with the output current of the generator. For controlled sources the control laws are used to get the necessary extra equations.
Please comment on this proposal.
I agree with Dr. Srinivasarao. Circuit Theory need a solid mathematical conaissence to be taught.
I agree with rg friends , Circuit Theory need a solid mathematical conciseness to be taught.
Dear @Anup Kumar Bandyopadhyay,
Yes, We can use this methodology for circuit theory teaching. This is very interesting for students.
Regards, Shafagat
It's quite some time that I started studying EE. From what I recall, circuit analysis started with DC analysis, introducing the node and mesh 'rules' (derivations of Kirchhoff's laws):
This scheme worked as well for AC analysis and saved my day in many other situations where this approach was applicable. The underlying scheme is the same that Spice is implementing in the simulation domain. Even with limited understanding of a circuit you can analyze it when you've got how to set uo the equations system.
The circuit theory is beautiful, interesting and difficult too. It must be taught "step by step". We can not expect that students can handle it at once.
I prefer the nodal analysis. It has a simple and easy Arrow convention and an easy algorithm.
For example see:
https://www.researchgate.net/publication/281523373_Admittance_models_of_modern_linear_amplifying_structures
or
https://www.researchgate.net/publication/281480600_Theory_of_electronic_circuits?ev=prf_pub
Book Theory of electronic circuits
Article Admittance models of modern linear amplifying structures
Fixator-norator pair is an emerging tool for analysis and design of linear and non-linear circuits. Fixator means a nullator plus source. It can make short cuts in biasing designs, source allocation, AC designs and even in design for frequency response.
Hybrid equivalent circuit is presented as an alternative to Thevenin's and Norton's circuit and it seems to be productive.
Chapter A New Approach to Biasing Design of Analog Circuits
Article Hybrid Equivalent Circuit, an Alternative to Thevenin and No...
Conference Paper A Linear Like Methodology for Source Allocation and Biasing ...
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