When two parallel wires carry electric currents, they exert a magnetic force on each other. This force is attractive if the currents are in the same direction and repulsive if they are in opposite directions. The magnitude of the force depends on the lengths of the wires, the distance between them, and the magnitudes of the currents. Understanding this interaction is crucial in designing electrical circuits and devices.
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Ampere | A. The force per unit length between two parallel current-carrying wires. |
| 2. Permeability of Free Space | B. The SI unit of electric current. |
| 3. Attractive Force | C. $4\pi \times 10^{-7} \text{ T} \cdot \text{m/A}$ |
| 4. Repulsive Force | D. The force that pulls the wires together, occurring when currents flow in the same direction. |
| 5. Magnetic Force per Unit Length | E. The force that pushes the wires apart, occurring when currents flow in opposite directions. |
The magnetic force between two parallel wires is ________ if the currents flow in the same direction. The magnitude of this force is proportional to the product of the ________ in the wires and inversely proportional to the ________ between them. The constant of proportionality involves the ________ of free space.
Imagine you are designing a high-power transmission line. How would you arrange the wires to minimize the magnetic forces between them and why is this important?
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