Albert Science International Organization

ARTICLE DESCRIPTION: 

Rahul Gupta, Rohit Gupta, Dinesh Verma, Analysis of series RL and RC networks with sinusoidal potential sources by Gupta transform, ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR), 2020, 5(1): 28-30.

^{1, 2} Lecturer of Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology, Jammu, India.

³Professor, Department of Mathematics, NIILM University, Kaithal (Haryana), India.

Doi no.: 10.2016-56941953; DOI Link :: http://doi-ds.org/doilink/11.2020-12824595/

ABSTRACT:

The analysis of electric networks is an essential course for electrical and electronics engineering. The response of such networks is generally obtained by the different mathematical approaches like Laplace Transform, convolution theorem approach, calculus approach, residue theorem approach. This paper presents a new integral transform called Gupta Transform for obtaining the complete response of the series RL and RC networks with sinusoidal potential sources. The response obtained will provide electric current (or electric charge) flowing through the series RL and RC network circuits. In this paper, the response of the series RL and RC networks is provided as a demonstration of the application of the new integral transform called Gupta Transform. 

Index Terms: Gupta Transform; Current; Series RL and RC Networks; Response.

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[5] Rahul Gupta, Rohit Gupta, Dinesh Verma, Propounding a New Integral Transform: Gupta Transform with Applications in Science and Engineering, “International Journal of Scientific Research in Multidisciplinary Studies”, 6(3), March (2020), pp. 14-19.

[6] Rahul Gupta, Rohit Gupta and Dinesh Verma, Application of Novel Integral Transform: Gupta Transform to Mechanical and Electrical Oscillators, “ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS)”, Volume 4, Issue 1, 2020, pp. 04-07.

[7] 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, , pp. 803-807.

[8] Rohit Gupta1, Yuvraj Singh and Dinesh Verma, Response of a basic series inverter by the application of convolution theorem, “ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR)”, Volume 5, Issue 1, 2020, pp. 14-17.

[9] 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, Feb. 2020, pp.14-17.

[10] Dinesh Verma, Yuvraj Singh, Rohit Gupta, Response of Electrical Networks with Delta Potential via Mohand Transform, International Research Journal of Innovations Engineering and Technology, volume 2, issue 2, February 2020, pp. 41-43.

[11] P. Senthil Kumar, S. Vasuki, Applications of Aboodh Transform to Mechanics, Electrical Circuit Problems, International Journal for Research in Engineering Application & Management, Vol-04, Issue-06, Sep. 2018, pp. 367-369.

[12] Rohit Gupta and Loveneesh Talwar, Elzaki Transform Means To Design A Protective RC Snubber Circuit, International Journal of Scientific and Technical Advancements, Volume 6, Issue 3, 2020, pp. 45-48.

[13] Dinesh Verma, Rohit Gupta, Applications of Elzaki Transform To Electrical Network Circuits With Delta Function, “ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS)”, Volume 4, Issue 1, 2020, pp. 21-23.

[14] Rahul Gupta and Rohit Gupta, Impulsive Responses of Damped Mechanical And Electrical Oscillators, International Journal of Scientific and Technical Advancements, Volume 6, Issue 3, 2020, pp. 41-44.

[15] Rohit Gupta and Rahul Gupta, Analysis of RLC circuits with exponential excitation sources by a new integral transform: Rohit Transform, “ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR)”, Volume 5, Issue 1, 2020, pp. 22-24.

[16] Rohit Gupta, Loveneesh Talwar, Dinesh Verma, Exponential Excitation Response of Electric Network Circuits via Residue Theorem Approach, “International Journal of Scientific Research in Multidisciplinary Studies”, 6(3), March (2020), pp. 47-50.

[17] Rohit Gupta, Rahul Gupta, Sonica Rajput, Response of a parallel ?- ?- ? network connected to an excitation source providing a constant current by matrix method, International Journal for Research in Engineering Application & Management (IJREAM), Vol. 4, Issue 7, Oct 2018, pp. 212-217.

[18] Rohit Gupta, Yuvraj Singh Chib, Rahul Gupta, Design of the resistor-capacitor snubber network for a d. c. circuit containing an inductive load, Journal of Emerging Technologies and Innovative Research (JETIR), Volume 5, Issue 11, November 2018, pp. 68-71.

[19] Rohit Gupta, Rahul Gupta, Matrix method for deriving the response of a series ?- ?- ? network connected to an excitation voltage source of constant potential, Pramana Research Journal, 8(10), 2018: 120-128.

[20] Rohit Gupta, Rahul Gupta, Sonica Rajput, Response of a parallel ?- ?- ? network connected to an excitation source providing a constant current by matrix method, International Journal for Research in Engineering Application & Management (IJREAM), 4(7), Oct. 2018, pp. 212-217.

[21] Rahul Gupta, Rohit Gupta and Loveneesh Talwar, Response of Network Circuits Connected To Impulsive Potential Source Via New Integral Transform: Gupta Transform, “ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR)”, Volume 5, Issue 1, 2020, pp. 18-20.

[22] Rohit Gupta. On novel integral transform: Rohit Transform and its application to boundary value problems, “ASIO Journal of Chemistry, Physics, Mathematics and Applied Sciences (ASIO-JCPMAS)”, Volume 4, Issue 1, 2020, pp. 08-13.