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(20 points) 2) Consider an electric charge q moving at constant speed v in vacuum along the z- axis, where the charge location at any

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(20 points) 2) Consider an electric charge q moving at constant speed v in vacuum along the z- axis, where the charge location at any time t is described by (0,0, v t). For an arbitrary point in space (x,y,z) and at a particular time (t), calculate the Poynting vector due to the electromagnetic field created by this electric charge. Your answer should be applicable to relativistic (and non-relativistic) speeds and be given in terms of the electric charge q, space coordinates (x,y,z), time (t), particle speed (v), and pertinent constants of vacuum

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