Exponential Excitation Response of Electric Network Circuits via Residue Theorem Approach

Rohit Gupta¹ , Loveneesh Talwar² , Dinesh Verma³

1. Dept. of Applied Sciences, Yogananda College of Engineering and Technology, Jammu.
2. Dept. of Electrical Engineering, Yogananda College of Engineering and Technology, Jammu.
3. Faculty of Mathematics, Dept. of Applied Sciences, Yogananda College of Engineering and Technology, Jammu.

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.3 , pp.47-50, Mar-2020

Online published on Mar 30, 2020

Copyright © Rohit Gupta, Loveneesh Talwar, Dinesh Verma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The analysis of electric network circuits with an exponential source is an indispensable course in engineering. In this paper, the residue theorem approach is demonstrated for analyzing network circuits with an exponential source. We apply residue theorem for analyzing electric network circuits with an exponential source, which is usually derived by applying the Laplace transform or convolution method or matrix method, etc. The analysis of electric network circuits with an exponential source yields an expression for current or voltage. In this paper, the residue theorem is illustrated for the analysis of electric network circuits with an exponential source.

Key-Words / Index Term :
Residue Theorem; Electric Network Circuits; Exponential Source

References :
[1] G.K. Mithal, Network Analysis, 14th edition, 2012.
[2] Murray R. Spiegel, Theory and Problems of Laplace Transforms, McGraw - Hill.
[3] Rohit Gupta, Loveneesh Talwar, Rahul Gupta, Analysis Of Network Circuit With Steady Voltage Source, And With Steady Current Source VIA Convolution Method, International Journal Of Scientific & Technology Research Volume 8, Issue 11, November 2019.
[4] Rohit Gupta, Rahul Gupta, Sonica Rajput, Convolution Method for the Complete Response of a Series Ł-Ɍ Network Connected to an Excitation Source of Sinusoidal Potential, International Journal of Research in Electronics And Computer Engineering, Vol. 7, issue 1 (January- March 2019), pp. 658-661.
[5] Rohit Gupta, Rahul Gupta, Matrix method for deriving the response of a series Ł- Ϲ- Ɍ network connected to an excitation voltage source of constant potential, Pramana Research Journal, Volume 8, Issue 10, 2018, pp. 120-128.
[6] Rohit Gupta, Rahul Gupta, Sonica Rajput, Response of a parallel Ɫ- Ϲ- ℛ network connected to an excitation source providing a constant current by matrix method, International Journal for Research in Engineering Application & Management,Vol-04, Issue-07, Oct 2018, pp. 212-217.
[7] Rohit Gupta & Rahul Gupta, Residue Approach to Mathematical Analysis of the Moving Coil Galvanometer, International Journal of Advanced Trends in Engineering and Technology, Volume 4, Issue 1, Page Number 6-10, 2019.
[8] Rohit Gupta, Anamika Singh, Rahul Gupta, Quantum Theory Of One Dimensional Free Electron Gas By Means Of Residue Theorem, Compliance Engineering Journal, Volume 10, Issue 12, 2019.
[9] Harold Cohen, Complex Analysis with Applications in Science and Engineering, Second Edition
[10] Dinesh Verma, Rohit Gupta, Amit Pal Singh, Analysis of integral Equations of convolution type via Residue Theorem Approach, The International journal of analytical and experimental modal analysis, Volume XII, Issue I, January 2020.
[11] Rohit Gupta, Anamika Singh, Rahul Gupta, Response of Network Circuits Connected to Exponential Excitation Sources, International Advanced Research Journal in Science, Engineering and Technology, Vol. 7, Issue 2, February 2020.
[12] Rohit Gupta, Tarun Singhal, Dinesh Verma, Quantum Mechanical Reflection and Transmission Coefficients for a Particle through a One-Dimensional Vertical Step Potential, International Journal of Innovative Technology and Exploring Engineering, Volume-8 Issue-11, September 2019.
[13] Rohit Gupta, Rahul Gupta, Dinesh Verma, Eigen Energy Values and Eigen Functions of a Particle in an Infinite Square Well Potential by Laplace Transforms, International Journal of Innovative Technology and Exploring Engineering, Volume-8 Issue-3, January 2019, pp. 6-9.