FYKOS Year 32 Series 4 Problem 3 — levitating · FYKOS 32 #32.4.3

Physics · mechanics · electromagnetism

Problem

Matěj likes levitating things and therefore he bought an infinite non-conductive charged horizontal plane with the charge surface density σ\sigma . Then he placed a small ball with given mass mm and charge qq above the plane. For which values of σ\sigma will the ball levitate above the plane? What is the corresponding height hh? Assume that the gravitational acceleration gg is constant.

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