3) Recall that the electromagnetic field tensor is given by 0 E/c Ey/c E/c -By 0 F -Ex/c -Ey/c -B₂ B₂ 0 Br -E₂/e By -B₁

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3 Recall That The Electromagnetic Field Tensor Is Given By 0 E C Ey C E C By 0 F Ex C Ey C B B 0 Br E E By B 1 (25.27 KiB) Viewed 115 times

3) Recall that the electromagnetic field tensor is given by 0 E/c Ey/c E/c -By 0 F -Ex/c -Ey/c -B₂ B₂ 0 Br -E₂/e By -B₁ 0 a) Write out the tranformation matrix A for a Lorentz transformation with a velocity v₂ = ßc (and corresponding Lorentz factory) in the z direction. [6] 5 b) Using AP from part a), carry out the proper matrix multiplication to find the Lorentz transformation rule for B. (=-F21) and Ey (=-F20 c). [8]