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Resistive Ohm's law is famously known asV = IR. We can derive its microscopic version as being followed.

V = El, whereEandlare, respectively, an electric field and a resistive load length over which a voltage dropVis developed.

I = JS,JandSare a current density and a cross-sectional area of the load (uniform cross-section is assumed).

Substituting these expressions into the Ohm's law givesEl = JSR → J = σEwhereσ = l/(SR)orR = l/(σS).

It is very obvious thatis the microscopic version of the Ohm's law ofJ = σEV = IR. It looks thatis only true for resistive load and DC.J = σE

I would like to know if there is any microscopic version of generalized Ohm's law ofV = IZwhereZis an impedance.

Could we find this?

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# Is there microscopic version of general Ohm's law of V=IZ?

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