POTENTIAL AND MAGNETIC MOMENT OF A SUPERCONDUCTING TORUS IN A NONAXIAL UNIFORM MAGNETIC FIELD,

Abstract

The magnetic constants of an ideal superconducting torus, located in a uniform magnetic field perpendicular to its axis of symmetry, are calculated from a scalar potential expansion in toroidal Legendre functions. An algorithm for finding the expansion coefficients, suitable for digital computation, is included. Graphs and approximate formulas are given for the induced magnetic moment of the torus and the maximum field values (with locations) on its surface, as functions of its radius ratio. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 18, 1966
Accession Number
AD0644536

Entities

People

  • Evan B. Wright
  • Paul I. Peterson

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computational Complexity
  • Computations
  • Legendre Functions
  • Magnetic Fields
  • Magnetic Moments
  • Magnetic Properties
  • Mathematical Analysis
  • Mathematics
  • Symmetry

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Plasma Physics / Magnetohydrodynamics