5) Consider an electric charge a moving at constant speed v in vacuum along the x-axis. For an arbitrary point in space

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5 Consider An Electric Charge A Moving At Constant Speed V In Vacuum Along The X Axis For An Arbitrary Point In Space 1 (36.81 KiB) Viewed 156 times

5) Consider an electric charge a moving at constant speed v in vacuum along the x-axis. For an arbitrary point in space (x,y,z) and time (t): a) Calculate the Poynting vector due to the electromagnetic field created by this charge. Your answer should be applicable to relativistic (and non- relativistic) speeds and be given in terms of the electric charge 4, space coordinates (x,y,z), time (t), particle speed (v), and pertinent constants of vacuum. b) for a sphere of radius R centered at the particle at the present time, calculate the surface integral of this Poynting vector for the limiting case of R 0.