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Unformatted text preview: F F . How does it transform? 3. Starting from the inhomogeneous Maxwell equation, which is given by F = J derive the continuity equation. Note: the last two items will make sense to you only after the Friday lecture. Problem 3: Assume that at some point of space-time we have ~ E and 40 P ~ B to be not perpendicular. Show that we can choose an inertial frame so that both vectors become parallel at that point. Show that a Lorentz transform to a frame with ~v = 1 + v 2 c 2 ~ E ~ B k ~ B k 2 + k ~ E k 2 c (1) achieves this. Does there also exist a frame in which the two are perpendic-ular? 1...
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This note was uploaded on 07/28/2009 for the course PHYS 441B taught by Professor Norbertlutkenhaus during the Winter '09 term at Waterloo.
- Winter '09