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Effect of dielectric constant on fringe fields

I know that the parallel plate capacitance is proportional to the dielectric constant (C = eS/d).  Does the same hold true for the fringe fields?  i.e. given the same geometry, if presence of a liquid with er = 2 gives a change of 5 pf, will the presence of a liquid with er = 4 give a change of 10 pf?