Electric and magnetic field problems with periodic circular cylindrical symmetry and their connection with a novel geometrical interpretation of the algebraic operations a^N+b^N and a^N-b^N
Brandão Faria, J
Progress in Electromagnetics Research Vol. M, Nº 23, pp. 249 - 262, February, 2012.
ISSN (print):
ISSN (online): 1559-8985
Scimago Journal Ranking: 1,41 (in 2012)
Digital Object Identifier: 10.2528/PIERM11122203
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Abstract
This paper deals with the evaluation of the electric and magnetic field generated by a set of N periodically distributed filamentary conductors, in a circular arrangement. The results obtained lead to the computation of a continuous product of distances. In close connection with the computation of such a continuous product, the general problem of the factorization of a sum or difference of two powers, a^N+ b^N and a^N-b^N, where a and b are positive real and N is a positive integer, is addressed.
