Basic concept of Network Analysis

Network Analysis by Kirchhoff's Law, Node and Mesh Analysis

Click this Link for Kirchhoff's Law | KCL and KVL

Network Analysis:

It is defined as the determination of output response. Network Analysis deal with the determination of Output response of Network while Network Synthesis deals with the determination of network.

The techniques which can be used for analyse the output response are based on Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL). KCL and KVL also used to reduce series and parallel combinations of elements.

Here are some basic noted things which have to understand clearly.

Node: A point at which two or more elements have common connection is called Node. in another word we can say Node is the point of intersection where two or more path joint or distributed together.

           At Node, 

                         Total incoming current = Total outgoing or distributing current 

              In this network ,

                                     Commonly you will get two nodes A and B, But by the Node definition there are actually three nodes. Because at Node C have two elements have common connection at that point.

Path: 

If no Node was encountered more than once, then the set of Nodes and elements that we have passed through is called Path.

Best example for path is Power Transmission Line.

 

Loop:

The Node at which we started is the same on which it ended then it called Loop or Closed Path.

In this Network, simply we can understand that R1 is a Loop.

here you will get Confuse little bit about Loop, Closed path and Mesh. Don't worry just go ahead further.

there are actually three close path and three Loop but what about Mesh is there any Mesh?

yes there are one mesh only. 

we can define further to the Mesh

Mesh:  A Mesh is a closed path in the circuit which does not contain any other closed path inside it.

            "All Mesh are Loops but not all the Loops are Mesh. "

Branch: A single path in a network, composed of one simple element and the node at end of that element. Thus a path is a particular collection of Branches.

In above figure there are many Branches namely as: AB is a Branch. in above circuit total 4 Branches are Present.