Dielectrophoresis: a spherical shell model

Abstract
The complete algebraic expression in the effective dipole approximation for the dielectrophoretic force acting on a spherical object surrounded by a shell when placed in an alternating electric field is deduced. In the approximation of a thin shell of low conductivity the frequency dependence of the dielectrophoretic force is discussed revealing the contribution of the shell. The electric potential difference across the shell is also calculated.

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