Electroconducting Sphere inside Unbounded Isotropic Matrix for Alegra Verification
Technical Report,01 Nov 2019,01 Jun 2020
CCDC Army Research Laboratory Aberdeen Proving Ground United States
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This report analyzes a nonlinear electroconducting sphere embedded in an unbounded linear isotropic matrix with a prescribed linear electric current at infinity. The exact analytical solution of this problem is reduced to solving a nonlinear algebraic equation. For the linear conductor we arrive at the explicit solution, which can be recommended for the verification purposes of ALEGRA code. The ALEGRA solution for one realization of the problem is shown to agree with the analytical solution to within a tiny fraction of the far-field values.
- Electricity and Magnetism