Physics

Alfvén Velocity Calculator

Find the Alfvén wave speed in a magnetized plasma.

Parameters Live Compute
Calculated Output
Alfvén velocity 282.09
Formula: vₐ = B ÷ √(μ₀·ρ)
Step-by-Step Breakdown
1. Values used:
2. Magnetic field = 0.0001 T
3. Mass density = 0 kg/m³
4.
5. Alfvén velocity = 282.09
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Alfvén waves travel along magnetic field lines in a plasma; this finds their speed.

The math behind it

vₐ = B ÷ √(μ₀·ρ), where μ₀ is the vacuum permeability and ρ the plasma mass density.

Worked Example

B = 1×10⁻⁴ T, ρ = 1×10⁻⁷ kg/m³ → ≈ 282 km/s.

Frequently Asked Questions

Where do Alfvén waves occur?

In the Sun's corona, the solar wind and laboratory plasmas.

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