Abstract
The dielectrophoretic force and torque on a sphere were derived in an arbitrary time varying electric field using the effective moment method. The results depend on the local instantaneous electric field felt by the particle and the polarization history experienced by the particle. The polarization history effect is significant for a moving particle when it is traveling with a sufficiently high speed, when it is traveling across a nonuniform field with a sufficiently small length scale, or when the applied electric frequency is relatively low. The results may find application in the ac electrokinetic manipulation of particles and cells.
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