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Question:

why does an iron core increase the magnetic induction of a coil of wire?

why does an iron core increase the magnetic induction of a coil of wire?

Answer:

this is because it intensifies the magnetic field since by putting it close to a magnet, it itself becomes a magnet thus making the change in magnetic flux greater thus an increase in the magnetic induction of a coil of wire
Iron is a ferromagnetic material. On the atomic scale the electons each have small magnetic fields asscociated with them. The strenght and the direction of the field is represented by the term magnetic dipole moment. Think of them as little bar magnets. When the field from the current carrying coils goes throught the iron all of the little bar magnetis will line up. They will not only line up but add in strength to the total magnetic field. Therefore, there will be two magnetic field sourcesone from the coils and one from the sum of all the lined up dipoles. All materials can do this to some respect.but fefformagetic materials can do it easily. Hope that helps

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