Superconducting-coil--resistor circuit with electric field quadratic in the current

TL;DR

This paper explains how the potential difference in a superconducting coil-resistor circuit is caused by electron polarization due to kinetic energy, with potential applications in measuring electronic properties.

Contribution

It demonstrates for the first time that the potential difference is caused by electron polarization from kinetic energy, linking it to the current squared and wire length.

Findings

Potential difference Phi_t is proportional to current squared.

Phi_t depends on the length of the superconducting wire.

Measuring Phi_t allows determination of the Fermi quasimomentum.

Abstract

It is shown for the first time that the observed [Phys. Lett. A 162 (1992) 105] potential difference Phi_t between the resistor and the screen surrounding the circuit is caused by polarization of the resistor because of the kinetic energy of the electrons of the superconducting coil. The proportionality of Phi_t to the square of the current and to the length of the superconducting wire is explained. It is pointed out that measuring Phi_t makes it possible to determine the Fermi quasimomentum of the electrons of a metal resistor.