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The core is made of iron because iron is a highly magnetic material that enhances the efficiency of electromagnetic induction. It provides a continuous path for the magnetic field and therefore helps to reduce flux losses.
The iron core is laminated to reduce power loss in the core due to eddy current.
In a transformer, the changing or alternating current in the primary coil gives rise to a changing magnetic flux in the core. This changing magnetic flux links with the secondary coil and induces e.m.f. in it.
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