MHD Pressure Balance

What is this formula?

The MHD pressure balance formula describes the equilibrium condition between plasma thermal pressure and magnetic pressure in magnetohydrodynamics.

It is widely used to determine when a plasma remains confined or stable inside a magnetic field configuration.

When to use it

Use this formula when analyzing plasma confinement systems, magnetic equilibrium, fusion reactors, astrophysical plasmas, solar plasma structures, and magnetized plasma boundaries.

Example

A confined plasma has a magnetic field of:

B = 0.12 T

Using:

μ0 = 4π×10^-7 H/m

Formula:

P = B²/(2*μ0)

Substitution:

P = (0.12²)/(2*(4π×10^-7))

Result:

P ≈ 5.73×10^3 Pa

Applications

- Fusion plasma confinement

- Tokamak equilibrium analysis

- Solar plasma loops

- Magnetosphere studies

- Magnetic nozzle systems

- Plasma stability calculations

- Magnetohydrodynamic simulations