Answer:
The discovery that one current-carrying wire exerts a force on a second current-carrying wire was made by Ampere
Step-by-step explanation:
Two current carrying wires exert force on each other. This was discovered by Ampere. It is also known as Ampere's force law.
A current carrying wire produces magnetic field around it. Another current carrying wire kept nearby experiences magnetic force by the first one.
The force is given by:

where I₁ and I₂ are the currents in the two wires and r is the distance between them.
The force may be attractive or repulsive depending upon the direction of current flowing in the two wires.