Meanings of electromagnetic interaction in English

Each particle can have an electromagnetic interaction with other particles.

The gravitational interaction (between objects with mass) and the electromagnetic interaction between things with electric charges.

According to the ultimate source of truthiness (wikipedia), the photon is the elementary particle responsible for the electromagnetic interaction.

Does the pencil have any excess charge that would produce and electrostatic interaction with other objects or an electromagnetic interaction with the Earth's magnetic field?

The theory of electromagnetic interactions is well developed, but nucleus-nucleus collisions are so complex that no fundamental physical theory currently describes them.