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A question on Electromagnetic theory

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Hi,
In EM theory to derive the 'wave equation for electric field in a conducting medium' we make ρfree to be zero, but we still use σ to be nonzero.
My question is why we are doing this ?
σ denotes the conductivity of the material and a material can not conduct if it has no free carriers.
So a non zero σ always implies a non zero free carrier. And ρfree is defined to be the charge density which does not take part in polarization, like the free carriers in the metal.
Thank You

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