Past exam of the mathematics course of the University of Cambridge 2005 iii Paper 75 2 1 Solution Created 2026-10-03 Updated 2026-10-14
For the theta pinch, the electric current is azimuthal:Its Lorentz force is . Static radial balance with the pressure gradient therefore givesThe 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.