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Alfvén Velocity Calculator — result sheet
Calculate ideal magnetohydrodynamic Alfvén speed from magnetic field and mass density.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: vA = B/√(μ₀ρ).
The permeability of free space and mass density connect magnetic tension to an ideal propagation speed.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Magnetic field — T; minimum 0; maximum 1000000
- Mass density — kg/m³; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Magnetic field | 0.01 |
| Mass density | 1.0E-6 |
Alfvén speed is approximately 8.92 km/s.
Assumptions and limits
- Magnetic field is nonnegative and density is positive SI mass density.
- The medium is ideal, uniform, and sufficiently described by the nonrelativistic Alfvén relation.
- Pressure, collisions, magnetic geometry, displacement current, and relativistic effects 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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