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The general non-symmetric, unbalanced star circuit: On the geometrization of problems in electrical measurement

Published 11 Dec 2017 in math-ph and math.MP | (1712.03691v1)

Abstract: We provide the general solution of problems concerning AC star circuits by turning them into geometric problems. We show that one problem is strongly related to the Fermat-point of a triangle. We present a solution that is well adapted to the practical application the problem is based on. Furthermore, we solve a generalization of the geometric situation and discuss the relation to non-symmetric, unbalanced AC star circuits.

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