Final answer:
André-Marie Ampère was the scientist who first measured the magnetic forces between current-carrying wires, a foundational discovery in the field of electromagnetism.
Step-by-step explanation:
The magnetic forces between current-carrying wires were first measured by scientist André-Marie Ampère. This discovery occurred following Hans Christian Ørsted's observation that electric currents create magnetic fields, leading to various other scientists contributing to the field of electromagnetism, such as Jean-Baptiste Biot, Felix Savart, and Michael Faraday. Ampère's work laid the foundation for what is known today about the magnetic effects of electric currents and their relation to magnetism. James Clerk Maxwell later developed a unified theory of electricity and magnetism, but it was Ampère who first measured the forces between current-carrying wires.