Dynamics of a liquid dielectric attracted by a cylindrical capacitor

Details Dynamics of a liquid dielectric attracted by a cylindrical capacitor Dynamics of a liquid dielectric attracted by a cylindrical capacitor

2006-12-04

arxiv.org/abs/physics/0612029v1

Physics

Physics Education

To appear in European Journal of Physics

Scientific paper

10.1088/0143-0807/28/1/014

The dynamics of a liquid dielectric attracted by a vertical cylindrical capacitor is studied. Contrary to what might be expected from the standard calculation of the force exerted by the capacitor, the motion of the dielectric is different depending on whether the charge or the voltage of the capacitor is held constant. The problem turns out to be an unconventional example of dynamics of a system with variable mass, whose velocity can, in certain circumstances, suffer abrupt changes. Under the hypothesis that the voltage remains constant the motion is described in qualitative and quantitative details, and a very brief qualitative discussion is made of the constant charge case.

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