An object with an electric field. the region in which electric force is exerted
Magnet attracting spring
Since objects that have mass have gravitational fields around them, that means that I have a gravitational field, the tree has one and so does the earth. The earth's field is strong since we are so close to it, and it is pulling us to the center.
An increase in distance weakens the electric, magnetic, and gravitational force of an object. In the picture since the spring is far away, there is no magnetic force. But when the spring is closer to the magnet, the magnet is attracting the spring.
Any object that has mass is surrounded by a gravitational field, this is a space where the force of gravity is used. Space, where the magnetic force is used, is the magnetic field. Magnetic force is weaker near the center of the magnetic. For electricity objects with like forces repel each other. The push or pull between objects is their electric force.
If two magnetic objects are bought within a certain distance of each other their electric fields interact. Two of the same charged objects(n+n or p+p) repel each other when their field interact. Their field will "bump" each other. Two opposite charges attract each other.
A permanent magnet is a magnetic material the maintains its magnetism over time. The magnetism in an electromagnetic is created by a coil the goes around it, so when you shut off the current you shut of the magnetism. A permanent magnet provides constant magnetic strength, which makes it good for heavy duty jobs.