Alfvén Velocity Calculator

Find the Alfvén wave speed in a magnetized plasma.

Alfvén velocity 282.09

Formula: vₐ = B ÷ √(μ₀·ρ)

Step-by-step with your numbers:
1. Values used:
2. Magnetic field = 0.0001 T
3. Mass density = 0 kg/m³
4.
5. Alfvén velocity = 282.09
Did we solve your problem today?

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.

FAQ

Where do Alfvén waves occur?

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