Abstract: We prove, for non-null electromagnetic fields and for their respective free cases, that Maxwell and Dirac equations are equivalent. Our proof is based on the use of Rainich-Misner-Wheeler theorem and on general assumptions which are indeed satisfied for the case under consideration. This equivalence is discussed in terms of relationship between a non-linear Dirac-like equation (with is a spinorial representation of Maxwell equation) and Dirac equation. This relationship is interpreted by means of a Riemann-Cartan-Weyl geometry which is metric compatible and with the trace of the torsion 1-form playing the role of the Weyl 1-form. We also discuss the relationship between Maxwell and Dirac fields in the light of the above resuts. All calculations are performed in terms of the Clifford algebra of spacetime, the so-called spacetime algebra Ver menos