Duality of Dielectric and Conductor Theory

A biomaterial can be characterized as a conductor or a dielectric. If the system is linear, the complex conductivity and the complex permittivity contain the same information. It is therefore natural that many of the formulas of dielectrics have their corresponding conductor versions and vice versa. Dual parameters are for instance  

In physics and engineering, the duality has its limitations not present in the pure mathematical equations  

It is the problem of range tr may approach zero (vacuum) and infinite (superconductors), whreas the lowest value of e is 8q (vacuum) and the highest value at least in living tissue does not approach infinity. 

A sphere of radius 1 cm is positioned in an infinite medium of resistivity 1 Qm. 

Consider a large plastic cylinder of diameter 80 cm filled with saline of p = 2 Qm. In the center is placed an electrical equivalent heart dipole of moment 10 mAcm. 

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