Simulation of Un-damped and Damped Oscillations in RLC Circuit using MATLAB Computer program

Research Article

Simulation of Un-damped and Damped Oscillations in RLC Circuit using MATLAB Computer program

In this paper, we elaborate the characteristics of oscillations in RLC circuit using MATLAB computer program. To study the characteristics we apply second order differential equations to obtain the expression of electric charge resulted from Kirchhoff’s loop rule and use the solution of it to determine the expressions for electric current (i), energy stored in capacitor and energy stored in the inductor. In the simplest case, the resonant circuit consists only of a capacitor C and inductor L, and characterizes un-damped electrical oscillations. An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor(C), connected in series or in parallel, and characterizes damped oscillations. For both cases, the un-damped and damped oscillations, we compare the graphs of circuit without resistance with the graphs of circuit with resistance obtained using MATLAB computer program.

Corresponding Author : Getachew Kuma Watiro

Wolaita Sodo University, College of Natural and Computational Science, Department of Physics, Wolaita, Ethiopia

Email ID : kuma.getachew@gmail.com

Received : 2020-02-21 Accepted : 2020-04-14 Published : 2020-04-14

Abstract : In this paper, we elaborate the characteristics of oscillations in RLC circuit using MATLAB computer program. To study the characteristics we apply second order differential equations to obtain the expression of electric charge resulted from Kirchhoff’s loop rule and use the solution of it to determine the expressions for electric current (i), energy stored in capacitor and energy stored in the inductor. In the simplest case, the resonant circuit consists only of a capacitor C and inductor L, and characterizes un-damped electrical oscillations. An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor(C), connected in series or in parallel, and characterizes damped oscillations. For both cases, the un-damped and damped oscillations, we compare the graphs of circuit without resistance with the graphs of circuit with resistance obtained using MATLAB computer program.

Keywords : RLC circuit, LC circuit, Kirchhoff’s loop rule, un-damped and damped oscillations

Citation : Getachew Kuma Watiro (2020). Simulation of Un-damped and Damped Oscillations in RLC Circuit using MATLAB Computer program. J. of Advancement in Engineering and Technology, V7I3.07. DOI : 10.5281/zenodo.3751733

Copyright : © 2020 Getachew Kuma Watiro. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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