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 equations as before, and then relate the source current to the assigned mesh currents. […]
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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 current sources. If a network has a large number of voltage sources, it is
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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 of a Cut Set Matrix is that by restoring anyone of the branches of
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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 a circulating current, which is called the link current. The current in any branch of a
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 the indication for the current flow or voltage rise in the network. It can
Twigs and Links: 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 called links, i.e. those elements of the connected graph that are not included in
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 a network may have a number of trees. The number of nodes in a graph is
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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 satisfy Kirchhoff ‘s laws, besides their own characteristics. Based on these Circuit Analysis laws,
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Current Divider Equation: In a parallel circuit, the Current Division in all branches. Thus, a parallel circuit acts as a current divider. The total current entering into the parallel branches is divided into the branches currents according to the resistance values. The branch having higher resistance allows lesser current, and the branch with lower resistance
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Kirchhoff’s Current Law Definition: Kirchhoff’s Current Law Definition states that the sum of the currents entering into any node is equal to the sum of the currents leaving that node. The node may be an interconnection of two or more branches. In any parallel circuit, the node is a junction point of two or more
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