Physics

Magnetic Force Between Current-Carrying Wires Calculator

Find the force between two parallel current-carrying wires.

Parameters Live Compute
Calculated Output
Force (N) 0.002
Force per length (N/m) 0.002
Formula: F/L = μ₀·I₁·I₂ ÷ (2π·d)
Step-by-Step Breakdown
1. Values used:
2. Current 1 = 10 A
3. Current 2 = 10 A
4. Separation = 10
5. Wire length = 1
6.
7. Force = 0.002N
8. Force per length = 0.002N/m
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Parallel wires attract when their currents flow the same way and repel when opposite.

The math behind it

F/L = μ₀·I₁·I₂ ÷ (2π·d). This relationship once defined the ampere.

Worked Example

10 A and 10 A, 10 mm apart, 1 m → about 2 × 10⁻³ N.

Frequently Asked Questions

Attract or repel?

Same-direction currents attract; opposite-direction currents repel.

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