Methods of Circuit Analysis: A division of mathematics called topology or graph theory deals with graphs of networks and provides information that helps in the formulation of network equations. In Methods of Circuit Analysis, all the elements in a network must … (Read More)

CoTree and Tree in Circuit Analysis: A tree is a connected subgraph of a network which consists of all the nodes of the original graph but no closed paths. The graph of a network … (Read More)

Twigs and Links: The branches of a tree are called its ‘twigs’. For a given graph, the complementary set of branches of the tree is called the co-tree of the graph. The branches of a co-tree are … (Read More)

Incidence Matrix (A): The incidence of elements to nodes in a connected graph is shown by the element node incidence matrix (A). Arrows indicated in the branches of a graph result in an oriented or a directed graph. These arrows are … (Read More)

Tie Set Matrix(Link Currents): For a given tree of a graph, addition of each link between any two nodes forms a loop called the fundamental loop. In a loop there exists a closed path and a circulating … (Read More)

Cut Set Matrix and Tree Branch Voltages: A Cut Set Matrix is a minimal set of branches of a connected graph such that the removal of these branches causes the graph to be cut into exactly two parts. The important property … (Read More)

Mesh Analysis Equation: Mesh Analysis Equation and nodal analysis are two basic important techniques used in finding solutions for a network. The suitability of either mesh or nodal analysis to a particular problem depends mainly on the number of voltage sources or … (Read More)

Super Mesh Circuit Analysis: Suppose any of the branches in the network has a current source, then it is slightly difficult to apply mesh analysis straight forward because first we should assume an unknown voltage across the current source, writing mesh … (Read More)

Nodal Analysis Examples: we discussed simple circuits containing only two nodes, including the reference node. In general, in a N node circuit, one of the nodes is chosen as reference or datum node, then it is possible … (Read More)

Supernode Analysis: Suppose any of the branches in the network has a voltage source, then it is slightly difficult to apply nodal analysis. One way to overcome this difficulty is to apply the Supernode Analysis. In this method, the two adjacent … (Read More)

Source Transformation Technique: In solving networks to find solutions one may have to deal with energy sources. It has already been discussed before that basically, energy Source Transformation are either voltage sources or current sources. Sometimes it … (Read More)