4) Use the Lorentz transformations (12.109) for the electromagnetic fields to prove a) That both E-B and (E E-B- B) are

[answerhappygod]

4 Use The Lorentz Transformations 12 109 For The Electromagnetic Fields To Prove A That Both E B And E E B B Are 1 (41.66 KiB) Viewed 20 times

4) Use the Lorentz transformations (12.109) for the electromagnetic fields to prove a) That both E-B and (E E-B- B) are invariants. b) Suppose that at one point P in an inertial frame B = 0 but E+0. Is it possible to find another inertial frame in which the electric field is zero at P? c) Can you write these invariants in covariant forms in terms of the tensors FW and Gw? That is, express them in forms that are manifestly invariants under Lorentz transformations. (See Problem 12.51.) Here, then, is de comprov ĒĻ = y(Ez + vBy), E = Ex Ēy = y(Ey - vBz), – By = x (B, +ŽEz), B: = y (B: – Y E. y (B: --Ey). Z Bx = B., (12.109)