Why does a changing magnetic field induce an electric field?
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This current flows because something is producing an electric field that forces the charges around the wire. (It cannot be themagnetic force since the charges are not initially moving). ... A changing magnetic field through a coil of wire therefore mustinduce an emf in the coil which in turn causes current to flow.
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When we take a magnet and a coil near to one another then the induce current was formed but there is the movement of anyone either be coil and either be a magnet
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