In this paper a possible analytical demonstration of Planck's Law for the spectral distribution of the electromagnetic energy radiated by hot bodies is presented, but in this case, the solutions of Maxwell's equations for the electromagnetic radiation problem of Hertz’s dipole are used. The concepts of quantum energy and of photon are redefined from the classical point of view, relating them to the possible electronic nature of electromagnetic waves and the electromagnetic field in general. Both the physical analysis and the concepts proposed respect the law of conservation of energy and allow to finally express the quantic constant, which is obtained here as a perfect combination of other fundamental constants of nature. The classic interpretation of the law obtained could be considered as the meeting point between Classical Physics and Quantum Mechanics, which suggests a new review of the theoretical basis of the latter is needed.