We consider a dielectric sphere in the presence of a charged ring and derive expressions for their interaction force. New mathematical closed form expressions for
electrostatic problems involving dielectric objects are always interesting, both for their intrinsic foundational value, and also for their practical use as test beds for
numerical solutions. The chosen geometry is motivated by the importance to probe charged rings with Atomic Force Microscopy dielectric tips. The interaction forces
obtained are further analyzed to identify notorious features of the force versus separation curves. This analysis provides practical guidelines to measure charge and
size of rings from experiments.
Original paper submitted as an honors thesis ; Mentor: Professor Fredy R. Zypman, Physics
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