Continued Fractions Method

Continued Fractions Method: This Continued Fractions Method is very popularly used to find the equivalent resistance of a ladder type resistive network. Consider a ladder network as shown in the Fig. 1.40. Let us calculate equivalent resistance by series parallel method first. So (t + u) is in parallel with s. The combination is in series with […]

Nodal analysis

Nodal analysis: This Nodal analysis method is mainly based on Kirchhoff’s Current Law (KCL). This method uses the analysis of the different nodes of the network. We have already defined a node. Every junction point in a network, where two or more branches meet is called a node. One of the nodes is assumed as […]

Mesh Analysis

Mesh Analysis or Loop Analysis: This method of Mesh Analysis is specially useful for the circuits that have many nodes and loops. The difference between application of Kirchhoff’s laws and loop analysis is, in loop analysis instead of branch currents, the loop currents are considered for writing the equations. The another difference is, in this method, […]

Source Transformation

Source Transformation: Sometimes in the complex network, both the energy sources may be present. But in loop analysis, all the energy sources should be preferably voltage sources and in node analysis, all the energy sources should be preferably current sources. The source transformation technique is useful in converting voltage source to current source and current […]

Cramer Rule

Cramer Rule: If the network is complex, the number of equations i.e. unknowns increases. In such case, the solution of simultaneous equations can be obtained by Cramer Rule for determinants. Let us say that set of simultaneous equations obtained is, as follows :   Then Cramer’s Rule says that form a system determinant Δ or […]

Star Delta Transformation

Star Delta Transformation: In the complicated networks involving large number of elements, Star Delta Transformation or Delta Star transformations considerably reduce the complexity of the network and network can be analysed very quickly. These transformations allow us to replace three star connected elements of network, by equivalent Delta connected elements without affecting currents in other […]