Who among the following discovered that a wire carrying electric current can attract or repel another wire next to it that's also carrying electric current?  

The correct answer is André-Marie Ampère.

Key Points

• Ampère's Law describes the relationship between electric current and the magnetic field it produces.
  
  1. Magnetic Fields Produced by Currents: Ampere's Law | Physics

  

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• He discovered that parallel wires carrying currents in the same direction attract each other, while wires carrying currents in opposite directions repel each other.
• Ampère was a French physicist and mathematician who made significant contributions to the understanding of electromagnetism.
• His work laid the foundation for the development of electric motors, generators, and other electromagnetic devices.

Additional Information 

• Ampère's Law is a fundamental equation in electromagnetism that relates the magnetic field to the electric current producing it. It states that the line integral of the magnetic field around a closed loop is equal to the product of the permeability of free space (μ₀) and the total current passing through the loop. 

Mathematical Expression: ∮ B · dl = μ₀I_enc  ​ 

• B: Magnetic field vector
• dl: Line element along the closed loop
• μ₀: Permeability of free space (4π × 10⁻⁷ T·m/A)
• I_enc: Net current enclosed by the loop