Abstract
This paper describes analyses of electric fields in eccentric two spherical conductors induced by a uniform ELF magnetic field utilizing the equivalent multipole-moment method with re-expansion technique (RE-EMMM). Although an approximated formula has already been derived by Tarao in this situation, it has been limited to the first order approximation. Here, the authors mathematically derive a general expression of governing linear equation for unknown multipole and local coefficients. Furthermore, we derived the first, second, and third order electric field formulae by manually solving the linear equations. It is confirmed that the accuracy of the first order formula is almost the same to that of Tarao's. On the other hand, the accuracies of the second and third order formulae are confirmed to be more precise.
