Question

In relativistic electrodynamics, the field tensor is given by 0 E, Ey E, с E. 0 B2 - By FH = -B. 0 B. By -B. 0 (1) a) Write out the relativistic current four-vector JM in terms of the charge density p and the current density ). [4] b) Express the inhomogeneous Maxwell equations (the ones involving charge and current densities) in co-variant form using Fuv and JM. c) Show that your result from part b) recovers the inhomogeneous Maxwell equations in their familiar form (using Ê and B). (12)

Answer 1

and, drug Fluv | | — Lg 62 В2 - 14 BR - 24 - о с four current Ill = уд - Cee,т)- (4, 5, y, J. In homogeneous equation in co-murient from. пу ЕУ да ти о Maxwells (е) но те у ғоу 7 Moc f = = ["st Pala 2 f ду. => П.Е. c°F = мо » (Ә.Е. Е. Єио — 2 Ғчо у 4 и – 1, 2, 3 ay Fчу. м,ј м. V + 7 Mot — 1 с2 at ast тәЕ к + с? at