D.C network Theorems and Application of D.C Network Theorem

Important and fundamental theorems of circuit theory have been listed here. There are certain network theorems, which when applied to the solutions of electric networks, either simplify the network itself or render their analytical solution very easy. These network theorems can also be applied to an A.C. system, with the only difference that impedances replace the ohmic resistances of D.C. system. A thorough understanding of each theorem is important because analyzing of electrical and electronic circuit needs these theorems very much.

Different electric circuits terms which is used in network theorem are defined below:

  1. Circuit: – A circuit is a closed conducting path through which an electric current either flows or is intended to flow.
  2. Parameters: – The various elements of an electric circuit are called its parameter like resistance, inductance and capacitance. These parameters may be lumped or distributed.
  3. Linear Circuit: – A linear circuit is one whose parameters are constant i.e. they do not change with voltage or current.
  4. Non-Linear Circuit: – It is that circuit whose parameter change with voltage or current.
  5. Bilateral Circuit: – A bilateral circuit is one whose properties or characteristics are the same in either direction. The usual transmission line is bilateral, because it can be made to perform its function equally well in either direction.
  6. Unilateral Circuit: – It is that circuit whose properties or characteristics change with the direction of its operation. A diode rectifier is a unilateral circuit, because it cannot perform rectification in both directions.
  7. Electric Network: – A combination of various electric elements, connected in any manner whatsoever, is called an electric network.
  8. Passive Network is one which contains no source of e.m.f. in it.
  9. Active Network is one which contains one or more than one sources of e.m.f.
  10. Node is a junction in a circuit where two or more circuit elements are connected together.
  11. Branch is that part of a network which lies between two junctions.
  12. Loop is a close path in a circuit in which no element or node is encountered more than once.
  13. Mesh is a loop that contains no other loop within it.

It should be noted that, unless stated otherwise, an electric network would be assumed passive in the following treatment.

Here we will discuss the various network theorems which are or great help in solving complicated networks. Incidentally, a network is said to be completely solved or analyzed when all voltages and all current in its different elements are determined.

Here are the lists of D.C. Network Theorem described in Electronicspani.com

S.N.

D.C. Network Theorem

1.Thevenin’s Theorem
2.Norton’s Theorem
3.Superposition Theorem
4.Maximum Power Transfer Theorem
5.Millman’s Theorem
6.Reciprocity Theorem
7.Substitution Theorem
8.Compensation Theorem
9.Tellege’s Theorem
10.Kirchhoff’s Current Law
11.Kirchhoff’s Voltage Law
12.Mesh Analysis
13.Star, Delta Connection and Transform
14.Nodal Analysis