A z pinch holds ion-electron pairs per metre in a column of radius

PHYSICS · Multi-part · Fermi University Physics · Plasma Physics · Fluid and magnetohydrodynamic description · Fluid and magnetohydrodynamic description

Plasma Physics, Ch Holding a plasma still: pinches, flux surfaces and the Grad-Shafranov equation

Problem

A z pinch holds

N = 1.0\times10^{19}

ion-electron pairs per metre in a column of radius

a = 1.0\,\mathrm{mm}

, with the pressure falling to zero at

r=a

. ((a)) Find the current

I

needed to confine the column at

T_e+T_i = 2.0\,\mathrm{keV}

. ((b)) Take the current density uniform across the column. Find the pressure on the axis at this current.

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