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Let us say I have a moving charge. At each point x,y,z in it's path from understanding there is a transverse electromagnetic wave being radiated (could also be viewed as a photon). The electric field at any point x1,y1,z1 in the path is disturbed. The moving charge does the same thing all along its path so many electromagnetic waves are created - an infinite amount, one at each point in the path. My question is about what happens to the wave/disturbance created at X1,Y1,Z1 after the charge has passed the point - let's say in some magical way the charge disappears infinitesimally right after X1,Y1, Z1 - there is no more moving charge. Let's also assume that the charge appeared magically an infinitesimal distance from X1,Y1, Z1. So the charge moved a very small distance and then disappeared. What is the fingerprint of the charge after it disappears in the vicinity of X1,Y1, Z1? I am assuming the disturbance spreads out over time from X1,Y1, Z1 - let's assume it's a vacuum that this is happening in. If I put a compass/charge close to X1,Y1, Z1 how long would it show the effect of the moving charge? How would it be calculated? What would happen to compasses/charges put further and further away from X1,Y1, Z1? Would the disturbance die down at all points - some points sooner than others, some points weaker effect than others? One zillion light year away would a super powerful detector of some kind detect the fact that the charge passed X1,Y1, Z1?
As always any feedback is appreciated in advance.
As always any feedback is appreciated in advance.