Dielectrophoretic driving forces when an electric potential is imposed across an uncharged nonconducting medium, one may write

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Dielectrophoretic driving forces when an electric potential is imposed across an uncharged nonconducting medium, one may write (V ∙ εE) = 0 where e is the dielectric constant. Show how this equation can be used to calculate the distribution of electric field E in the region between two coaxial cylindrical metal electrodes of outer and inner radii R2 and R1, respectively. You may neglect variations in the dielectric constant. Toward which electrode will particles of positive susceptibility migrate, and how will their migration velocity vary with position?

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