<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The wireless connection distance between the transmission and reception coils of printed circuit boards (PCB) influences the mutual inductance and affects circuit performance. In this study, the mutual inductance <italic>M</italic> of PCB coils was investigated, and two analytical methods were presented for calculating the mutual inductance between two coaxial rectangular planar PCB coils incorporating magnetic layer. The results were acquired through calculations by using the Neumann integral and Biot-Savart methods. The complete integral calculations and detailed demonstrations of the two methods are presented. The obtained formulas were introduced in some examples of coils with different number of turns. The analytical and experimental results were compared, and a strong agreement between them was observed.</p>
</abstract>

The wireless connection distance between the transmission and reception coils of printed circuit boards (PCB) influences the mutual inductance and affects circuit performance. In this study, the mutual inductance M of PCB coils was investigated, and two analytical methods were presented for calculating the mutual inductance between two coaxial rectangular planar PCB coils incorporating magnetic layer. The results were acquired through calculations by using the Neumann integral and Biot-Savart methods. The complete integral calculations and detailed demonstrations of the two methods are presented. The obtained formulas were introduced in some examples of coils with different number of turns. The analytical and experimental results were compared, and a strong agreement between them was observed.

Mutual inductance of two coaxial rectangular PCB coils incorporating magnetic layer

Djillali Liabes University of Sidi Bel-Abbes

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The wireless connection distance between the transmission and reception coils of printed circuit boards (PCB) influences the mutual inductance and affects...

Mutual inductance of two coaxial rectangular PCB coils incorporating magnetic layer

Published Online: Nov 20, 2021

Page range: 287 - 296

Received: Jul 27, 2021

DOI: https://doi.org/10.2478/jee-2021-0041

Keywords
mutual inductance, rectangular planar PCB coil, ferromagnetic layer, Neumann formula, Biot-Savart law

© 2021 Salah-Eddine Bendimerad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mutual inductance of two coaxial rectangular PCB coils incorporating magnetic layer

Published Online: Nov 20, 2021

Page range: 287 - 296

Received: Jul 27, 2021

DOI: https://doi.org/10.2478/jee-2021-0041

Keywordsmutual inductance, rectangular planar PCB coil, ferromagnetic layer, Neumann formula, Biot-Savart law

© 2021 Salah-Eddine Bendimerad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
mutual inductance, rectangular planar PCB coil, ferromagnetic layer, Neumann formula, Biot-Savart law