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In order to create an electromagnet, you would wrap an insulated wire around a metal with ferromagnetic properties and apply electric current. Magnetic fields are made when entirely the electrons are turning in the same direction either as a natural phenomenon, in an artificially created magnet or when they are persuaded to do so by an electromagnetic field. 

Electromagnet is an temporary magnet produced when electric current is passed through specific materials.

The process of production of electromagnet is explained as follows :

From Oersted's law, we know that a current carrying conductor produces a magnetic field around it.

The same principle is applied in the production of electromagnet.

A ferromagnetic material is wound by insulated copper wires. The current is allowed to pass through wounded ferromagnetic material which in turn, produces magnetic field around it, and acts just like a strong electromagnet.

The magnetism is retained as long as there is current flow in the wire.