American Journal of Circuits, Systems and Signal Processing
Articles Information
American Journal of Circuits, Systems and Signal Processing, Vol.5, No.1, Mar. 2019, Pub. Date: Jan. 27, 2019
Application of Linear Differential Equation in an Analysis Transient and Steady Response for Second Order RLC Closed Series Circuit
[01] Ahammodullah Hasan, Department of Mathematics, Faculty of Applied Science and Technology, Islamic University, Kushtia, Bangladesh.
[02] Md. Abdul Halim, Department of Electrical and Electronic engineering, World University of Bangladesh, Dhaka, Bangladesh.
[03] Md. Al-Amin Meia, Department of Mathematics, Govt. Adamjeenagar Merchant Worker (M. W) College, Narayanganj, Bangladesh.
In this Paper, this work investigates the application of RLC diagrams in the catena study of linear RLC closed series electric circuits. The Relevant second order ordinary differential equations were solved by Kirchhoff’s Voltage law. This solution obtained was employed to procedure RLC diagram simulated by MATLAB and Mathematica 9.0. A circuit containing an inductance L or capacitor C and resistor R with current and voltage variable given by differential equation. The general solution of differential equation has two parts complementary function (C. F) and particular integral (P. I) in which C. F. represents transient response and P. I. represents steady response. The general solution of differential equation represents the complete response of network. In this connection, this paper includes RLC circuit and ordinary differential equation of second order and its solution.
Circuit Analysis, RLC Circuit, Ordinary Differential Equation, Transient Response, Steady Response, Kirchhoff’s Law
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