Mathematical description of mutual influence in a symmetric circuit (lan cable) on the basis of the equation of partial capacities Maxwell

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Abstract

A brief description of the nature of the influence in symmetrical cables is given. LAN-cable is considered as an object of study. The ideal symmetric circuit is considered. The developed algorithm for obtaining relations describing the mutual influence between the chains for various structural schemes is presented. The mutual effects of two twisted pairs, between the wires of two separate twisted pairs, between four separate twisted pairs are considered. Structural schemes have been built to determine: partial capacities, mutual capacities and capacitive connections. The mathematical description of the mutual influence using partial capacities Maxwell has been received. The results obtained in conjunction with the existing dependences of the cable capacity, the dielectric permittivity of the medium and the wave resistance, which are determined by means of conformal transformations, are the basis for the synthesis of automatic control systems for the technological process of LAN-cable manufacturing.

About the authors

V. Yu. Denisov

Samara Space Centre

Author for correspondence.
Email: info@eco-vector.com
Russian Federation

V. N. Mitroshin

Samara State Technical Universit

Email: info@eco-vector.com
Russian Federation

B. K. Chostkovskiy

Samara State Technical Universit

Email: info@eco-vector.com
Russian Federation

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