Consider equation (2.25), which gives the AC electric conductivity of a weakly ionized plasma for a velocity-dependent collision frequency ν_r(v).
(a) Show that in the high-frequency limit (ω² ≫ v_r²), we have

where

(b) Show that in the low-frequency limit (w² ≪ ν_r²), we have

where

(c) For intermediate frequencies, show that

where

and where ν_c is the same quantity defined in part (a) for the high-frequency limit.

Equation

Transcribed Image Text:

0 = (vc + iw) noe² 2 mew²