Study of Frequency Characteristics of Effective Impedance of a Coil in front of a Thick Non-ferromagnetic Metal Plate (1st Report)

The effective impedance of a coil varies, when a conductor is approached to the coil. We can know the characteristics of the impedance, getting the Green's function of the electromagnetic field. But it is generally acquired by a complicated integration. Then we integrated the function by approximation in the case of a plane conductor, and it was possible to express the variation of the impedance by elementary functions. Consequently we were able to calculate easily the characteristics of the impedance of the coil near a conductor. Then it was possiple to know the conductivity of a plane conductor by measuring the change of the impedance of the coil at the audio frequency range.

Clarkson's inequalities

L^p-space