Tombe, Frederick David
Mechanics / Electrodynamics
March 15, 2020
Larmor Precession, Poynting's vector, Poynting's Theorem, cable telegraphy, wireless telegraphy, Faraday's law of induction, Maxwell's equations, aethereal vortices, electromagnetic wave equations, telegrapher's equations, displacement current
We can multiply an electric field by a magnetic field to obtain the Poynting vector, S = E×H, and the product applies to the energy flow in electromagnetic radiation, where E is specifically an electric field that has been induced by time-varying electromagnetic induction. This is because the form of the Poynting vector follows from Ampère’s circuital law and Faraday’s law of time-varying electromagnetic induction. Although there is no known theoretical basis that would justify swapping the electromagnetic E field in S with an electrostatic E field, the dimensions of S would nevertheless remain unchanged if we did do so. As such, it has been asked whether or not the product E×H is predictive of any energy flow when an electrostatic field is superimposed upon a steady state magnetic field, or would it just amount to multiplying apples and bananas?