The field of current in a thin wire ring

1964 ◽  
Vol 60 (3) ◽  
pp. 613-619
Author(s):  
G. W. Carter ◽  
S. C. Loh ◽  
C. Y. K. Po
Keyword(s):  
Digital Computer ◽  
Vector Potential ◽  
Mutual Inductance ◽  
Simple Expression ◽  
Zero Order ◽  
Magnetic Vector Potential ◽  
Thin Wire ◽  
Magnetic Vector ◽  
First Derivative ◽  
Thin Ring

AbstractA simple expression is derived for the magnetic vector potential of current in a thin ring, in terms of the first derivative of toroidal functions of zero order. The axial and radial field components and the mutual inductance between two wire rings are obtained. These expressions are evaluated on a digital computer and the results are summarized in a series of graphs.

scholarly journals Vector Potential, Magnetic Field, Mutual Inductance, Magnetic Force, Torque and Stiffness Calculation between Current-Carrying Arc Segments with Inclined Axes in Air

2021 ◽  
Author(s):  
Slobodan Babic
Keyword(s):  
Magnetic Field ◽  
Numerical Integration ◽  
Vector Potential ◽  
Magnetic Force ◽  
Analytical Form ◽  
Mutual Inductance ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Special Cases ◽  
Incomplete Elliptic Integrals

In this paper we give the improved and new analytical and semi-analytical expression for calcu-lating the magnetic vector potential, magnetic field, magnetic force, mutual inductance, torque, and stiffness between two inclined current-carrying arc segments in air. The expressions are ob-tained either in the analytical form over the incomplete elliptic integrals of the first and the sec-ond time or by the single numerical integration of some elliptical integrals of the first and the second kind. The validity of the presented formulas is proved from the special cases when the inclined circular loops are treated. We mention that all formulas are obtain by the integral ap-proach except the stiffness which is found by the derivative of the magnetic force.

scholarly journals Determination of the 3-D Magnetic Vector Potential using Lorentz Transmission Electron Microscopy

2009 ◽  
Vol 15 (S2) ◽  
pp. 134-135 ◽  
Author(s):  
C Phatak ◽  
E Humphrey ◽  
M DeGraef ◽  
A Petford-Long
Keyword(s):  
Electron Microscopy ◽  
Transmission Electron Microscopy ◽  
Vector Potential ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Transmission Electron ◽  
Lorentz Transmission Electron Microscopy

Extended abstract of a paper presented at Microscopy and Microanalysis 2009 in Richmond, Virginia, USA, July 26 – July 30, 2009

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