New Formulas for the Mutual Inductance and the Magnetic Force of the System: Thin Disk Coil (Pancake) with Inverse Radial Current Density and Thin Wall Solenoid with Constant Azimuthal Current Density

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Slobodan Babic
Slobodan Babic
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Cevdet Akyel
Cevdet Akyel

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New Formulas for the Mutual Inductance and the Magnetic Force of the System: Thin Disk Coil (Pancake) with Inverse Radial Current Density and Thin Wall Solenoid with Constant Azimuthal Current Density

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New Formulas for the Mutual Inductance and the Magnetic Force of the System: Thin Disk Coil (Pancake) with Inverse Radial Current Density and Thin Wall Solenoid with Constant Azimuthal Current Density Banner

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Abstract

This paper deals with two coaxial circular coils (thin disk coil and thin wall solenoid) for which we calculated the electromagnetic quantities such as the mutual inductance and the magnetic force. The disk coil (pancake) is with the nonlinear inverse radial current and the wall solenoid with the constant current in the azimuthal direction. The circular coils with the nonlinear inverse radial current are well known as the Bitter coils, and the circular coils with the azimuthal current are well known as the ordinary coils. Also, the coils with the azimuthal current can serve as the superconducting coils. These calculations give the semi-analytical and the analytical expressions respectively for these electromagnetic quantities. Also, we presented the improved filament method as the comparative method.

References

37 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Slobodan Babic. 2018. \u201cNew Formulas for the Mutual Inductance and the Magnetic Force of the System: Thin Disk Coil (Pancake) with Inverse Radial Current Density and Thin Wall Solenoid with Constant Azimuthal Current Density\u201d. Global Journal of Research in Engineering - F: Electrical & Electronic GJRE-F Volume 18 (GJRE Volume 18 Issue F4): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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GJRE-F Classification: FOR Code: 290903
Version of record

v1.2

Issue date

October 5, 2018

Language
en
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Published Article

This paper deals with two coaxial circular coils (thin disk coil and thin wall solenoid) for which we calculated the electromagnetic quantities such as the mutual inductance and the magnetic force. The disk coil (pancake) is with the nonlinear inverse radial current and the wall solenoid with the constant current in the azimuthal direction. The circular coils with the nonlinear inverse radial current are well known as the Bitter coils, and the circular coils with the azimuthal current are well known as the ordinary coils. Also, the coils with the azimuthal current can serve as the superconducting coils. These calculations give the semi-analytical and the analytical expressions respectively for these electromagnetic quantities. Also, we presented the improved filament method as the comparative method.

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New Formulas for the Mutual Inductance and the Magnetic Force of the System: Thin Disk Coil (Pancake) with Inverse Radial Current Density and Thin Wall Solenoid with Constant Azimuthal Current Density

Slobodan Babic
Slobodan Babic
Cevdet Akyel
Cevdet Akyel

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