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September 1, 1958Proceedings of the IRE

The Spherical Coil as an Inductor, Shield, or Antenna

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Authors

HWH.A. WheelerTechnology Service Corporation (United States)

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Overview

Theoretical analysis reveals exact electromagnetic formulas in spherical conductor geometries, suggesting precise design principles for inductors, shields, and antennas.

Key Points

  • Derive exact analytical formulas for the electromagnetic behavior of spherical coils serving as inductors, shields, or antennas.
  • Modeled an idealized spherical inductor configured with a single-layer winding of constant axial pitch.
  • Formulated closed-form equations for magnetic dipole fields, conductive shielding, core interactions, and radiation properties across different media.
  • Established exact mathematical expressions for self-inductance, mutual inductance, coupling coefficients, and iron-core effects.
  • Determined radiation power factors for free-space and seawater propagation, establishing quantitative baselines for closed conductive shell shielding.
  • Identified a specialized winding configuration that permits exact computation of self-resonance when wire length equals one-half wavelength.

Cite This Study

H.A. Wheeler (1958) studied this question.

synapsesocial.com/papers/6a72422d439bab0cabc3cd0fhttps://doi.org/10.1109/jrproc.1958.286978
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