Consider a transverse electromagnetic wave mode propagating in an unmagnetized, partially ionized gas in which the electron neutral collision frequency is e Include the effects of collisions in the electron equation of motion (21 17), by introducing a term n e m e e u e on the right hand side Ignore ion motion and electron ion and electron electron collisions Derive the dispersion relation when e , and show by explicit calculation that the rate of loss of energy per unit volume ( F EM , where F EM is the Poynting flux)is balanced by the Ohmic heating of the plasma ion,mus q,n,E (21 17)

Question: Consider a transverse electromagnetic wave mode propagating in an unmagnetized, partially ionized gas in which the electron-neutral collision frequency is e . Include the

Consider a transverse electromagnetic wave mode propagating in an unmagnetized, partially ionized gas in which the electron-neutral collision frequency is ν_e. Include the effects of collisions in the electron equation of motion (21.17), by introducing a term −n_em_eν_eu_e on the right-hand side. Ignore ion motion and electron-ion and electron-electron collisions.

Derive the dispersion relation when ω ≫ ν_e, and show by explicit calculation that the rate of loss of energy per unit volume (−∇ · F_EM, where F_EM is the Poynting flux)is balanced by the Ohmic heating of the plasma.

-ion,mus=q,n,E (21.17)

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