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Mutual Inductance of Two Coplanar Rectangular Contours with Symmetrical Internal Arrangement
Author(s) -
Георгий Николаевич Цицикян,
A. I. Senchenko
Publication year - 2018
Publication title -
izvestiâ vysših učebnyh zavedenij rossii. radioèlektronika
Language(s) - English
Resource type - Journals
eISSN - 2658-4794
pISSN - 1993-8985
DOI - 10.32603/1993-8985-2018-21-3-42-47
Subject(s) - inductance , square (algebra) , antenna (radio) , frame (networking) , mathematical analysis , basis (linear algebra) , mathematics , equivalent series inductance , loop (graph theory) , geometry , topology (electrical circuits) , acoustics , physics , electrical engineering , computer science , engineering , telecommunications , combinatorics , voltage
The expediency of developing expressions for mutual inductance of rectangular and square coplanar contours is caused by configuration of frame antennas typical for RFID-technologies. Expressions presented in this article are aimed at simplifying calculation of induction coefficients when designing loop antennas. Expressions for mutual inductance of rectangular coplanar contours with symmetrical internal arrangement are obtained on the basis of the method of sections. It is shown that under certain conditions the expressions obtained can be reduced to intrinsic inductances of the square and rectangular frames encountered in antenna configurations. The analysis allows to estimate regions of resonance frequencies of frame receiving antennas. Simultaneously, a comparative analysis of a number of expressions for the intrinsic inductance of rectangular and square frames is performed, and attention is drawn to the difference in estimates. Recommendations for clarifying square contour external inductance are provided.

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