\[P_B=\frac{B^2}{2\mu_0}\]
Variables
PBmagnetic pressure (Pa)
Bmagnetic field strength (T)
mu0vacuum permeability (H/m)
Description
What is this formula?
This formula calculates the pressure exerted by a magnetic field due to its stored energy density. Magnetic pressure appears in plasma physics, astrophysics, and magnetohydrodynamics.
When to use it
Use this equation when studying magnetic confinement, solar plasma behavior, magnetic forces in fluids, or electromagnetic energy storage.
Example
Calculate the magnetic pressure generated by a magnetic field of 0.35 T.
Data:
B = 0.35 T
mu0 = 4*pi*10^-7 H/m
Formula:
PB = B²/(2*mu0)
Substitution:
PB = (0.35²)/(2*(4*pi*10^-7))
Result:
PB = 4.87 × 10^4 Pa
Applications
- Plasma confinement systems
- Solar and space physics
- Fusion reactors
- Magnetohydrodynamics
- Electromagnetic energy analysis