Relationship between magnets and electricity

The relationship between electricity and magnetism is intimate. A changing magnetic field induces electrical current in a wire, and is the basis for electrical generation. Also, an electrical current flowing through a wire creates a magnetic field, and is the basis for most motors.

In general, a changing magnetic field creates an electrical field, and a changing electrical field creates a magnetic field. In fact, light is exactly this; two fields oscillating at right angles, and inducing one another through space.

One of the four fundamental forces in the universe is the electromagnetic force. Not the electric or the magnetic force, but the electromagnetic force. Basically, you can't have electricity without magnetism and vice versa. That may not make electricity and magnetism exactly the same, but they are intertwined in a most intimate way.