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Force Between Parallel Current-Carrying Wires Calculator — result sheet
Calculate the ideal magnetic force between two long parallel current-carrying wires.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Force magnitude=μ₀×|I₁I₂|×length/(2π×separation), with μ₀=4π×10⁻⁷ N/A².
The ideal long-wire model gives an inverse-distance interaction between two parallel currents.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Current in wire 1 — A; minimum -1000000000; maximum 1000000000
- Current in wire 2 — A; minimum -1000000000; maximum 1000000000
- Parallel length — m; minimum 0; maximum 1000000000
- Wire separation — m; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Current in wire 1 | 5 |
| Current in wire 2 | 8 |
| Parallel length | 2 |
| Wire separation | 0.1 |
Force magnitude =0.00016 N.
Assumptions and limits
- The wires are long, straight, parallel, and separated in vacuum or air under the ideal approximation.
- Current direction determines attraction or repulsion; the result reports magnitude.
- Finite endpoints, nearby conductors, insulation, heating, and electromagnetic transients are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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