**Techniques of Circuit Analysis:**

**CoTree and Tree in Circuit Analysis**** :** 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 …

**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 …

**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 …

**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 …

**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 …

**Nodal Analysis Examples :** 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 …

**Source Transformation Technique**** :** 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 sources are either voltage sources or current sources. Sometimes …

**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, …

**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 …

**Tie Set Matrix**** (Link Currents):** Tie Set Matrix – 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 …

**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 …