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1) The electric field resulting from the Liénard-Wiechert potentials of an accelerated point charge q is given by ([c² − v²] u + ™ × [¯ × ā]) where u Consider a particle accelerated with a constant acceleration ao parallel to its direction of motion, v = vo 2. Define the angle as the angle unit vector in the direction) with the z axis, i.e., Ε = = q r Απεο (π.π)3 = = crv. à of the viewing direction ( 2 = cos 0 = μl. . = a) Calculate the component of the electric field Erad which contributes to radiation emitted by this charge, as a function of r and 0, and express the directionality of Erad in terms of the unit vectors , Ô, þ. [12]
c) Draw a Minkowski Diagram showing the world lines of the front and back door of the barn and of the front and back end of the ladder. Indicate what line / axis represents the time axis of the moving ladder, and along which lines in the diagram events occur simultaneously in the frame of the ladder. [10]
V' 0 and calculate the c) Find a gauge transformation that transforms V corresponding vector potential A' that keeps the electric and magnetic fields unchanged. [14] =
V' 0 and calculate the c) Find a gauge transformation that transforms V corresponding vector potential A' that keeps the electric and magnetic fields unchanged. [14] =