The Jargon

A network is a collection of interconnected components.Network Analysis is the process of finding the voltages across, and the current through, every component in the network. Kirchhoff laws Nodal analysis Mesh analysis Source Transformation voltage division & current division Network Theorems Duality principle Network Topology Two port network Transients

Superposition theorem Thevenins & Norton's Theorem Maximum power transfer theorem Reciprocity Theorem Millimans Theorem Substitution Theorem Tellegens Theorem

Tellegen theorem states that  the summation of instantaneous powers for the n number of branches in an electrical network is zero. Suppose n number of branches in an electrical network have i 1 , i 2 , i 3 , .............i n respective instantaneous currents through them. These currents satisfy Kirchhoff's Current Law . Again, suppose these branches have instantaneous voltages across them are v 1 , v 2 , v 3 , ........... v n respectively. If these voltages across these elements satisfy Kirchhoff Voltage Law then,

It states that in a linear network any passive element can be equivalently substitute by ideal voltage source or ideal current source provided to all other branch currents and voltages doesn't change which can be possible  when the substituted element and original element absorb the same power. Substitution Theorem is the replacement of one element with another equivalent element. In a network, if any element is substituted or replaced by a voltage or current source whose voltage and current across or through that element will remain unchanged as the previous network. Example:

The  Millman's Theorem states that – when a number of voltage sources (V 1 , V 2 , V 3 ……… V n ) are in parallel having internal resistance (R 1 , R 2 , R 3 ………….R n ) respectively, the arrangement can replace by a single equivalent voltage source V in series with an equivalent series resistance R.

reciprocity theorem, in a linear passive network, supply voltage V and output current I are mutually transferable.The ratio of V and I is called the transfer resistance. In simple words, we can state the reciprocity theorem as when the places of voltage and current source in any network are interchanged the amount or magnitude of current and voltage flowing in the circuit remains the same. The various resistances R 1 , R 2 , R 3 is connected in the circuit diagram above with a voltage source (V) and a current source (I). It is clear from the figure above that the voltage source and current sources are interchanged for solving the network with the help of Reciprocity Theorem. The limitation of this theorem is that it is applicable only to single source networks and not in the multi-source network. Steps for Solving a Network Utilizing Reciprocity Theorem Step 1 – Firstly, select the branches between which reciprocity has to be established. Step 2 – The current in the branch is obtain...