Given the constant electric and magnetic fields E = (k,0,0), B = (k cos 0, k sin 0, 0) with 0) < $< 7/2, and a constant

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Given The Constant Electric And Magnetic Fields E K 0 0 B K Cos 0 K Sin 0 0 With 0 7 2 And A Constant 1 (60.51 KiB) Viewed 18 times

Given the constant electric and magnetic fields E = (k,0,0), B = (k cos 0, k sin 0, 0) with 0) < $< 7/2, and a constant k > 0. (a) (6 marks) calculate the fields in a reference frame which moves with velocity cß in positive z-direction; (b) (8 marks) show that the fields become parallel for a certain value B = Bo. Calculate Bo and show that 0 < Bo <1 is satisfied; (c) (6 marks) does a Lorentz transformation to a reference frame exist where one of the fields vanishes? Explain your answer.