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Title: :  MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS
PaperId: :  22404
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 10 Issue 1 2024
DUI:    16.0415/IJARIIE-22404
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Sonal Nanasaheb MhaseP. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
Ashwini Vishal AherP. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
Dipak Vijay PathareP. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
Shubham Rajendra GameP. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.
Mandakini Radhu DhavaleP. Dr.V .V. P.Instt of Tech & Engg, (POLYTECHNIC), Loni, Maharashtra.

Abstract

Electrical Engineering, Mathematics
Electrical network connection, Maxwell’s power principle, Parallel sum, Positive definite matrix, Positive operator
In this paper, we survey the role of mathematics in electrical network connections. We discuss the behavior of current flows, voltages and impedances mainly for series-parallel networks. In both one-port and multiport electrical networks, the currents through these networks are governed by Maxwell’s power principle. The joint impedances of the networks, given in terms of series sum and parallel sum, satisfy the series-parallel inequality. An abstract idea can be formulated in functional analysis aspect in which any network connection is viewed to be a binary operation for positive operators satisfying certain algebraic, order and topological properties.

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IJARIIE Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS" International Journal Of Advance Research And Innovative Ideas In Education Volume 10 Issue 1 2024 Page 148-153
MLA Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS." International Journal Of Advance Research And Innovative Ideas In Education 10.1(2024) : 148-153.
APA Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, & Mandakini Radhu Dhavale. (2024). MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS. International Journal Of Advance Research And Innovative Ideas In Education, 10(1), 148-153.
Chicago Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS." International Journal Of Advance Research And Innovative Ideas In Education 10, no. 1 (2024) : 148-153.
Oxford Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. 'MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS', International Journal Of Advance Research And Innovative Ideas In Education, vol. 10, no. 1, 2024, p. 148-153. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/MATHEMATICAL_ASPECTS_FOR_ELECTRICAL_NETWORK_CONNECTIONS_ijariie22404.pdf (Accessed : ).
Harvard Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. (2024) 'MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS', International Journal Of Advance Research And Innovative Ideas In Education, 10(1), pp. 148-153IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/MATHEMATICAL_ASPECTS_FOR_ELECTRICAL_NETWORK_CONNECTIONS_ijariie22404.pdf (Accessed : )
IEEE Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale, "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS," International Journal Of Advance Research And Innovative Ideas In Education, vol. 10, no. 1, pp. 148-153, Jan-Feb 2024. [Online]. Available: https://ijariie.com/AdminUploadPdf/MATHEMATICAL_ASPECTS_FOR_ELECTRICAL_NETWORK_CONNECTIONS_ijariie22404.pdf [Accessed : ].
Turabian Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. "MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 10 number 1 ().
Vancouver Sonal Nanasaheb Mhase, Ashwini Vishal Aher, Dipak Vijay Pathare, Shubham Rajendra Game, and Mandakini Radhu Dhavale. MATHEMATICAL ASPECTS FOR ELECTRICAL NETWORK CONNECTIONS. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2024 [Cited : ]; 10(1) : 148-153. Available from: https://ijariie.com/AdminUploadPdf/MATHEMATICAL_ASPECTS_FOR_ELECTRICAL_NETWORK_CONNECTIONS_ijariie22404.pdf
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