Abdullahi, Musa Daji
April 26, 2017
Keywords: Electric field, Lorentz force, magnetic flux, special relativity, speed of light, velocity
According to classical and relativistic electrodynamics, a charged particle moving with velocity v goes straight through a crossed electric field of intensity E and a magnetic flux of intensity B, at right angles, without deflection, if the magnitude E = Bv. For a constant B, the relationship between E and v is linear, with Bc being the maximum value of E required for the particle to pass straight through the crossed fields at the speed of light c. This paper shows that the relationship is not linear, because the force exerted by a field E, on a moving charged particle, depends on its speed v. For a particle to go through the fields without deflection, E should increase to an infinitely large value as v approaches the speed of light. An experiment, showing that the relationship between E and v is not linear, invalidates special relativity.