Analysis of LCR Network Circuits with Exponential Sources by New Integral Transform Gupta Transform

Rahul Gupta, Rohit Gupta, Dinesh Verma

Gupta Transform; Network Circuits; Exponential Source; Response

In science and engineering, the analysis of Inductor, Capacitor and Resistor (LCR) network circuits is a principal course and is generally done by applying calculus or integral transforms. In this paper, we will analyze LCR network circuits with exponential excitation sources by applying the new integral transform ‘Gupta Transform’ and obtain their responses in the form of current or voltage. This paper presents the application of the ‘Gupta Transform’ and proves its applicability for analyzing the LCR network circuits with exponential excitation sources and concludes that ‘Gupta Transform’ like other methods or approaches is also an effective and simple tool.

[1] Network Analysis M. E. Van Valkenburg. Publisher: Pearson Education, 2015.
[2] J. S. Chitode and R.M. Jalnekar, Network Analysis and Synthesis, Publisher: Technical Publications, 2007.
[3] Network Analysis M. E. Van Valkenburg, 3rd Edition. Publisher: Pearson Education, 2015.
[4] Rohit Gupta, Rahul Gupta, Analysis of RLC circuits with exponential excitation sources by a new integral transform: Rohit Transform, “ASIO Journal of Engineering & Technological Perspective Research (ASIOJETPR)”, 5(1), 2020, pp.22-24.
[5] Murray R. Spiegel, Theory and Problems of Laplace Transforms. Publisher: Schaum’s outline series, McGraw Hill.
[6] Anamika, Rohit Gupta, Analysis Of Basic Series Inverter Via The Application of Rohit Transform, International Journal of Advance Research and Innovative Ideas in Education, Volume 6, Issue 6, 2020, pp. 868-873.
[7] Loveneesh Talwar, Rohit Gupta, Analysis of Electric Network Circuits with Sinusoidal Potential Sources via Rohit Transform, International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering (IJAREEIE), Volume 9, Issue 11, November 2020, pp. 3020-3023.
[8] 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.
[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, February 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, pp. 41-43, February 2020.
[11] 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.
[12] Rohit Gupta, Yuvraj Singh, Dinesh Verma, Response of a basic series inverter by the application of convolution theorem, “ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR)”, 5(1), 2020, pp. 14-17.
[13] 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, IJRECE, Vol. 7, issue 1 (January- March 2019), pp. 658-661.
[14] 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.
[15] 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 (IJREAM),Vol-04, Issue-07, Oct 2018, pp. 212-217.
[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, volume 6, issue 3, pp. 47-50, March (2020).
[17] Rahul Gupta and Rohit Gupta, “Impulsive Responses of Damped Mechanical and Electrical Oscillators,” International Journal of Scientific and Technical Advancements, Volume 6, Issue 3, pp. 41-44, 2020.
[18] 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, volume 6, issue 3, PP. 14-19, March (2020).
[19] Rahul Gupta, Rohit Gupta, 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, 04-07.
[20] Rahul Gupta, Rohit Gupta, Loveneesh Talwar, Gupta Transform Approach to the Series RL and RC Networks with Steady Excitation Sources, Engineering and Scientific International Journal (ESIJ), Volume 8, Issue 2, 2021, PP. 45-47.
[21] Rahul Gupta, Rohit Gupta, Dinesh Verma, Determining Rate Of Heat Convected From A Uniform Infinite Fin Using Gupta Transform, Roots International Journal Of Multidisciplinary Researches, Vol.7, No. 3, 2021, PP. 66-70.