When an electric field is applied across an electrolyte solution containing charged particles they are seen to move parallel or antiparallel to the…

When an electric field is applied across an electrolyte solution containing charged
particles they are seen to move parallel or antiparallel to the field depending on
the sign of their charge. Now, since almost all of the potential drop must occur
across the double-layer at each electrode surface, there can be no electric field
within the conducting electrolyte solution and thus no force on the charged
colloidal particles. Why, then, do the particles move?

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