The Conductivity Of An Ionized Gas Assignment Help | The Conductivity Of An Ionized Gas Homework Help

The Conductivity of an Ionized Gas

The ionized gas has a conductivity σ such that
            Σ E = Jf                                     ... (1)

Now, Jf = ∑ NiQi (dx/dt);                                        ... (2)

Here, Ni = number of ions or electrons of a given type per m3,
    Qi = charge per ion or electron in coulombs,
(dx/dt)i = drift velocity along the x – axis = 1/ω Q/m E0 sin ωt
Jf = convection current density.
Then
    σE0 exp jωt = ∑ NiQ2i /ωm1 E0 exp j (ωt – π/2)                        ... (3)

and        σ = - j/ω ∑ NiQ2i                                     ... (4)

We retain only the term corresponding to the electrons.
    . :    σ = - jNeQ2e                                     ... (5)
Here Ne, is the number of free electrons per cubic meter.
So, the plasma conductivity σplasma becomes purely imaginary and negative.


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