1. Magnetic Field: This is the most fundamental effect. A moving electric charge (which is what constitutes an electric current) creates a magnetic field around it. The shape of this magnetic field depends on the shape of the wire, but it will always form loops around the wire.

2. Heat: The electrons flowing through the wire collide with the atoms of the wire, transferring energy to them. This causes the wire to heat up. This is why wires can get hot when carrying a lot of current.

3. Electromagnetic Radiation: A changing magnetic field induces an electric field and vice versa. The oscillating electric and magnetic fields together create electromagnetic radiation, which is a form of energy that travels at the speed of light. The frequency of the electromagnetic radiation depends on the frequency of the current in the wire.

4. Forces on other wires: If another current-carrying wire is placed near the first wire, the magnetic fields they produce will interact. This interaction will result in a force between the wires.

5. Induction in nearby conductors: A changing magnetic field can induce a current in nearby conductors. This is the principle behind transformers and generators.

6. Electrical Resistance: The wire itself will offer some resistance to the flow of current. This resistance can be influenced by the material, thickness, and temperature of the wire.

7. Electromagnetic Interference (EMI): The electromagnetic radiation generated by a current-carrying wire can interfere with other electronic devices, especially those sensitive to high frequencies.

The specific effects that dominate will depend on the amount of current flowing, the frequency of the current, the materials involved, and the surrounding environment.