2010
DOI: 10.1109/tmag.2010.2049026
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Cylindrical Magnets and Coils: Fields, Forces, and Inductances

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Cited by 181 publications
(102 citation statements)
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“…We confirmed already obtained formulas of the magnetic force between inclined circular loops derived by the Biot-Savart law and by the approach of the mutual inductance. In order to use the new formula, whose final expressions are given per (16) or per (17), (18), (19) and (20), one needs to provide the radius of the primary and secondary coils, the position of the center of the secondary coil (the primary coil is assumed to be centered at origin), and the plane equation with all unit vectors in which the secondary coil is located. With these parameters, the problem is completely defined.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…We confirmed already obtained formulas of the magnetic force between inclined circular loops derived by the Biot-Savart law and by the approach of the mutual inductance. In order to use the new formula, whose final expressions are given per (16) or per (17), (18), (19) and (20), one needs to provide the radius of the primary and secondary coils, the position of the center of the secondary coil (the primary coil is assumed to be centered at origin), and the plane equation with all unit vectors in which the secondary coil is located. With these parameters, the problem is completely defined.…”
Section: Resultsmentioning
confidence: 99%
“…The vast majority of this attention has been given to the purely coaxial geometries [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. More recently the focus has been shifted to calculation of the mutual inductance and magnetic force between circular coils with lateral and angular misalignments [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”
Section: Introductionmentioning
confidence: 99%
“…Analytically, mutual inductance can be calculated using numerical iterations [55][56][57], look-up tables [57], Bessel and Struve functions [58], Heuman's lambda function [59], and Biot-Savart law [60]. However, with the development of computer aided tools based on the high precision Finite Element Analysis (FEA), the calculation of mutual inductance became simpler and more convenient.…”
Section: Description Of Coil Designmentioning
confidence: 99%
“…A closed form expression of the mutual impedance between two common axis circular turns immersed in air based on elliptic functions was firstly provided by Maxwell [1]. Several studies on two planar coils with parallel axes have been carried out by various authors [2][3][4][5][6][7]. These are particularly useful in applications concerning contactless energy transfer [8][9][10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%