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Anytime any electrical charge moves a magnetic field is created. It does not matter if the moving charge is in a wire or in a vacuum. It does not matter if it is a single wire or a coil of wire. As soon as a charge moves a magnetic field is created.

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Q: Why does moving electrons In a wire or coil create magnetic field especially that circular one around a single wire And is there magnetic field if we could shoot electrons as beam like in CRT?
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