In general, a solenoid is an electromagnet with a movable metal core. Any coil of wire with current flowing through it will induce a force moving perpendicular to the wire. In the case of a coil wrapped around a cylinder, this force would be directed along the length (through the center) of the cylinder. As such, if you place a movable ferromagnetic (such as iron, nickel, or cobalt) rod through the center of the coil, it will move when current is applied to the electromagnet. This allows a mechanical action to be controlled by the solenoid.
Solenoids are coils of wire that create a magnetic field when an electric current passes through it. These are used in the alternator of a car to create electricity. Solenoids are also used in generators to create electricity in power stations and in transformers to change the voltage of an AC current.
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