For the theta pinch, the electric current is azimuthal:
Its Lorentz force is . Static radial balance with the pressure gradient therefore gives
The constant is the equilibrium magnetohydrodynamic total pressure.
Theta pinch 2026-10-14
A theta pinch is a cylindrical plasma configuration with axial magnetic field and azimuthal electric current. For a static equilibrium without gravity, the radial Lorentz force gives in Gaussian units. This straight-field configuration has no field-line curvature drive of the usual interchange instability.