Force between Parallel Currents

📊 advanced

$$F/l = \frac{\mu_0 I_1 I_2}{2\pi d}$$

Force per unit length between two infinitely long, parallel current-carrying wires.

Variables & Units

$d$

Distance between wires

Unit: Meter ($m$)

$F/l$

Force per unit length

Unit: $N/m$

Key Information

📐 Derived From

Combining Biot-Savart law and Lorentz magnetic force.

💡 Example

Attraction between two wires carrying DC in the same direction.

🔧 Applications

Defining the standard Ampere and high-power cable design.

⚠️ Constraints

Infinitely long straight wires in vacuum.

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