4) Recall that the electromagnetic field tensor is given by 0 - Ex/c -Ey/c -Ez/c Fuv Ex/c Ey/c E₂/c B₂ – By 0 0 Bx -Bx 0

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4 Recall That The Electromagnetic Field Tensor Is Given By 0 Ex C Ey C Ez C Fuv Ex C Ey C E C B By 0 0 Bx Bx 0 1 (114.54 KiB) Viewed 102 times

4) Recall that the electromagnetic field tensor is given by 0 - Ex/c -Ey/c -Ez/c Fuv Ex/c Ey/c E₂/c B₂ – By 0 0 Bx -Bx 0 -B₂ By a) Write out the tranformation matrix AP for a Lorentz transformation with a velocity v₂ = 3 c (with Lorentz factor y = 1/√√/1 – 3²) in the z direction. [5] b) Using AP from part a), carry out the proper matrix multiplication to find the Lorentz transformation rule for B₂ (= − F²¹) and Ey (= − F²⁰ c). [15]