Consider a cylindrically symmetric plasma column (/z = 0, / = 0) under equilibrium conditions, confined by

Consider a cylindrically symmetric plasma column (∂/∂z = 0, ∂/∂θ = 0) under equilibrium conditions, confined by a magnetic field. Verify that in cylindrical coordinates the radial component of (5.1) becomes

Using Maxwell equation (5.2), show that

From these results, obtain the following basic equation for the equilibrium of a plasma column with cylindrical symmetry

Give a physical interpretion for the various terms in this equation.

Equations

Transcribed Image Text:

dp(r) dr = = Je(r) B₂ (r) - J₂ (r) Be(r)