Solenoid: a coil wound into a tightly packed helix (usually made of copper).
Electromagnet: a type of magnet whose magnetic field is produced by the flow of electric current
Right Hand Rule #2:
Used to find the direction of the north pole when the solenoid is turned on (i.e., when there's current passing through it)
The Electromagnet
When a core of ferromagnetic material, such as iron, is placed inside a solenoid, an electromagnet would be formed. The magnetic field of the solenoid would align the domains in the ferromagnetic material, and the ferromagnetic material would then produce a magnetic field of its own, which supplements the pre-existing magnetic field of the solenoid.
Other Notes:
The magnetic field of a solenoid is similar to that of a bar magnet