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Measurement of the Mutual Induction Coefficients in Dual Solenoid Structures
New Phys.: Sae Mulli 2020; 70: 335~341
Published online April 29, 2020;
© 2020 New Physics: Sae Mulli.

Kiwon YANG1*, Young-Soo SHON2

1Faculty of Liberal Education, Kyungpook National University, Daegu 41566, Korea
2Department of Biomedical Engineering, Daegu Catholic University, Gyeongsan 38430, Korea
Correspondence to:
Received December 9, 2019; Revised January 30, 2020; Accepted February 18, 2020.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
The phase differences ($\Delta$$\Phi$) between the applied alternating current (AC) voltage with various frequencies ($f$) to a solenoid and the generated AC current were measured, and the self-induction coefficient ($L$) was calculated using $f$, resistance and $\Delta$$\Phi$. In the dual solenoid structure, $\Delta$$\Phi$ between the AC voltage of the primary solenoid (Sol$_{pri}$) and the induced electromotive force ($\epsilon$) of various secondary solenoids (Sol$_{sec}$) was measured. $\Delta$$\Phi$ is caused by $L$ and $f$ of the Sol$_{pri}$, but the change in $L$ of the Sol$_{sec}$ was not affected. In the above experiment, we was able to calculate the mutual-induction coefficient ($M$) of the dual solenoid structure by using the maximum value of the AC voltage of the Solpri and the maximum induced $\epsilon$ of the Sol$_{sec}$. As $L$ increased, the induced $\epsilon$ generated by the Sol$_{sec}$ increased, thus, $M$ increased. The experiments are designed suitably for students to understand $\Delta$$\Phi$ in the AC circuit using solenoids, find $L$, and understand the relationship between $L$ and $M$ in the dual solenoid structure.
PACS numbers:, 01.50.$-$i
Keywords: Phase angle, Mutual-induction coefficient, Solenoid, Self-induction coefficient

May 2020, 70 (5)
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