Magnetic Field Force: Attraction & Repulsion

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When two electromagnets are pulsed rapidly, they may not exert a force on each other if turned off before the magnetic field reaches the other. However, the magnetic field propagates at the speed of light, meaning that to avoid interaction, one would need to deactivate the magnets faster than light, which contradicts Einstein's theory of relativity. Even if one electromagnet is turned off, it can still induce an electric field in the other, according to Faraday's Law, resulting in a current. This current in the second coil will experience a force due to the Lorentz Force Law. Thus, there remains an interaction between the two coils despite the rapid pulsing.
nemesiswes
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I was wondering what, if you had two electromagnets and normaly when you turn them on they would cause a force on the other ( attractive or repelling ) but if you were to pulse each one so fast that the they would turn off before the magnetic field reached the other , then would that still cause a force on both since there both electromagnets. if they don't then wouldn't that violate some law because by turning them off then wouldn't that mean the information that they are now off gets to the object before the intial wave got there.
 
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Well ! What I think is
Magnetic field moves at a speed of light.So, in order to turn off before causing a force,you must move your hand at a faster speed than light.
But acc. to Einstein's theory of relativity ,it is not possible
 
There would still be a force on both. Coil 1 will emit a EM pulse that will, by Faradays Law, induce an electric field within Coil 2 and therefore a current in Coil 2. The current carrying Coil 2, by the Lorentz Force Law, experiences a force as it interacts with the traveling EM pulse.
 
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