Scalar Potential Models for Magnetic Fields of Volume Current Distributions

1988 ◽  
pp. 19-24
Author(s):  
I. R. Ciric
Keyword(s):  
Magnetic Fields ◽  
Scalar Potential ◽  
Potential Models ◽  
Current Distributions ◽  
Volume Current

Equivalent magnetization approach for calculating magnetic fields of localized steady‐state current distributions

1991 ◽  
Vol 59 (3) ◽  
pp. 233-235 ◽  
Author(s):  
Basilio Carrascal ◽  
Gentil A. Estévez ◽  
Vicente Lorenzo
Keyword(s):  
Steady State ◽  
Magnetic Fields ◽  
Current Distributions ◽  
Steady State Current

Static magnetic fields in vacuum

2018 ◽  
Author(s):  
J. Pierrus
Keyword(s):  
Magnetic Field ◽  
Problem Solving ◽  
Magnetic Fields ◽  
Vector Potential ◽  
Scalar Potential ◽  
Multipole Expansion ◽  
Magnetic Vector Potential ◽  
Magnetic Dipoles ◽  
Static Magnetic Fields ◽  
The Magnetic Field

Wherever possible, an attempt has been made to structure this chapter along similar lines to Chapter 2 (its electrostatic counterpart). Maxwell’s magnetostatic equations are derived from Ampere’s experimental law of force. These results, along with the Biot–Savart law, are then used to determine the magnetic field B arising from various stationary current distributions. The magnetic vector potential A emerges naturally during our discussion, and it features prominently in questions throughout the remainder of this book. Also mentioned is the magnetic scalar potential. Although of lesser theoretical significance than the vector potential, the magnetic scalar potential can sometimes be an effective problem-solving device. Some examples of this are provided. This chapter concludes by making a multipole expansion of A and introducing the magnetic multipole moments of a bounded distribution of stationary currents. Several applications involving magnetic dipoles and magnetic quadrupoles are given.

A CONDUCTING PERMEABLE SPHERE IN THE PRESENCE OF A COIL CARRYING AN OSCILLATING CURRENT

1953 ◽  
Vol 31 (4) ◽  
pp. 670-678 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Magnetic Fields ◽  
Magnetic Permeability ◽  
Scalar Potential ◽  
Spherical Body ◽  
Primary Field ◽  
Secondary Field ◽  
Electrical Prospecting ◽  
Permeable Sphere ◽  
A Current

The analysis is carried out for the problem of a current-carrying coil in the neighborhood of a spherical body whose conductivity and magnetic permeability differ from the surroundings. The case is considered in detail where the frequency is low enough so that the primary field of the coil can be derived from a magnetic scalar potential. The secondary magnetic fields due to the sphere are then derived. The "in-phase" and "quadrature" components of the secondary field are discussed numerically and illustrated by graphs. The results have application to electrical prospecting.

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