Electromagnetic waves dont carry any matter what do they carry?
Electromagnetic waves carry energy, not matter.
Non-mechanical waves(radio waves) which are sent into space are nothing but electromagnetic waves similar to light waves.Unlike sound waves or water ripples(waves) which require a medium to propagate in,electromagnetic waves are self-sustaining waves.We know that a moving charge causes a magnetic field and a moving magnetic field induces an electric field.Since an electromagnetic wave comprises of both electric waves and magnetic waves which are caused by each other,therefore they dont require a medium for propagation.
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Why do waves in a lake always appear to be moving toward the shore no matter where you stand on land?
Magnetism is not caused, it is one of the four known forces: Strong nuclear force Weak nuclear force Electromagnetic force (magnetism) Gravitational force All matter has an electromagnetic force, the reason that we dont see objects stuck to each other, is that almost all matter on earth, has equal, positive, and negative polarity. Understanding how a charge becomes positive, and negative, is very complex, and involves quantum mechanics.
For the same reason that charges can attract or repel each other through nothing, magnets can attract or repel each other through nothing, (and masses can attract each other gravitationally through nothing). Electric and magnetic 'fields' can be felt at a distance without anything to help spread their influence. Light and all other electromagnetic waves are the result of electric and magnetic fields in space.