Electromagnetic Induction in a Small Conducting Sphere Above a Resistive Half Space

Radio Science ◽  
1968 ◽  
Vol 3 (10) ◽  
pp. 1030-1034 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Half Space ◽  
Electromagnetic Induction ◽  
Conducting Sphere

ELECTROMAGNETIC INDUCTION IN A SOLID CONDUCTING SPHERE ENCLOSED BY A THIN CONDUCTING SPHERICAL SHELL

Geophysics ◽  
1969 ◽  
Vol 34 (5) ◽  
pp. 753-759 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Spherical Shell ◽  
Electromagnetic Induction ◽  
The Other ◽  
Electromagnetic Response ◽  
Core Radius ◽  
Homogeneous Sphere ◽  
Conducting Sphere ◽  
The Core ◽  
Quadrature Phase ◽  
Dipole Response

By means of a straightforward boundary‐value treatment, a solution is obtained for the electromagnetic response of a homogeneous sphere enclosed by a uniform spherical shell. A quasi‐static assumption is invoked at the outset because attention is directed to slowly varying fields. Expressions are derived for the “in‐phase” and “quadrature phase” response of the induced multipoles. These are a function of the radius, conductivity, and permeability of the core, and the radius, conductivity, and thickness of the shell. Some numerical results for the nonpermeable case indicate that the dependence of the dipole response on the normalized core radius is altered significantly by the presence of the shell. On the other hand, the ability to detect the presence of the core is not greatly impaired.

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