Insights on the possibility of circuit representation for single Maxwell's Equations

In this paper we examine the possibility to write the circuit equivalent for each of Maxwell's Equations in free-space. That could be considered a paradox, since in “empty” space there should be neither currents nor charges. Moreover, in Circuit Theory the space is not continuous but it's a discrete network, made of nodes and edges, and the electric field E→ is approximated as conservative. Here we are going to solve some of those difficulties describing the vector potential A→ as a current iA. In particular we focus the attention on the circuit elements corresponding to Faraday's Law and Lorentz's Gauge.