Response of RLC network circuit with steady source via rohit transform

Abstract

The electric network circuits are designed by using the elements like resistor R, inductor L, and capacitor Ϲ. There are a number of techniques: exact, approximate, and purely numerical available for analyzing the R L Ϲ network circuits. Since the application of numerical method becomes more complex, computationally intensive, or needs complicated symbolic computations, there is a need to seek the help of integral transform methods for analyzing the RLϹ network circuits. Integral transform methods provide effective ways for solving a variety of problems arising in basic sciences and engineering. In this
paper, a new integral transform Rohit transform is discussed for obtaining the response of a series RLϹ electric network circuit connected to a steady voltage source, and a parallel R L Ϲ electric network circuit connected to a steady current source. The response of a series R L Ϲ network circuit connected to a steady voltage source via the application of Rohit transform will provide an expression for the electric current, and that of a parallel R L Ϲ network circuit connected to a steady current source will provide an expression for the voltage across the parallel RLϹ electric network circuit. The nature of the response of such series (or parallel) network circuits is determined by the values of R, L, and Ϲ of the electric network circuit. The Rohit transform will come out to be a powerful technique for analyzing such series or parallel electric network circuits with steady voltage or current sources.