Electromechanics of a prolate spheroidal conducting particle on a grounded plane

This paper presents a 3D analysis of the electromechanics for a conducting prolate spheroid in contact with a grounded plane under an electric field for various tilt angles between the spheroid and the plane. We use the method of multipole images and multipole re-expansion in the prolate spheroidal coordinates for the electric field calculation. The electrostatic force and torque are determined from the Maxwell stress. The calculation results show that for the spheroids of the same minor-axis length, the force increases with the tilt angle. The torque is maximal approximately at 45° tilt angle. The electromechanics behavior of the spheroid is classified into three regimes, depends on the electric field strength and the tilt angle.