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This question is slightly back to front. It should perhaps read - can an electromagnetic wave ever not move ? The answer to this question would be no. Motion is absolutely central to the very existence of an electromagnetic wave. If the voltage between two conductors varies up and down, the electric field between them does the same. This changing electric field causes a changing magnetic field. The changing magnetic field causes a changing electric field, and so on ad infinitum. The net result of all this is an electromagnetic wave which propagates outwards at the speed of light.* If the wave were somehow prevented from moving it would cease to exist. * not really surprising, because light is itself an electromagnetic wave.

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