Ionic Current and Ohms Law

Considering the one-dimensional situation, the constant flux of the /-type ions in the steady state (in the drift-dominated regime) is given by 

For uniform electric fields, E(x) = E, the steady-state flux of the number concentration of /-type ions in the drift-dominated regime is 

The net current through a pore of length L is obtained by integrating the current density of the /-type ions between x = 0 and x = L and summing over all kinds of electrolyte ions. It follows from Equations 8.7, 8.8, and 8.19 that 

Eor a uniform electric field across the pore, this equation gives the net uniform ionic current I as 

It is evident from Equation 8.21 that the conductance is the sum of conductivities of all ions per unit length of the pore. The inverse of the conductance is the resistance R of the pore. 

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