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Mar13 leme

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Martim Leme
Martim Leme

This document discusses the geometry of a capacitor system consisting of two parallel capacitors filled with a dielectric liquid of permittivity 竜. It provides the capacitance equations for each capacitor and the total system based on the variables h, x, d, and 竜0. It then gives the equations to calculate the energy stored in the system as a function of h in terms of voltage V, as well as the electric force F on the dielectric which must equal the weight of the liquid reaching the top edges to solve for h.

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Name: Jos辿 Costa Leme Teacher: Lanheses HighSchool, Viana do Castelo, Portugal March 2013 Challenge The geometry is shown in figure. As in the figure, the system can be considered as 2 capacitors connected in parallel. 1 0 h x =k0 d 2 The capacitance values for each capacitor are; So that the system capacitance is Write the energy stored in the capacitor as a function of h in terms voltage: V. We calculate the force F on the dielectric, The electric force must be equal to the weight of the liquid that reaches the top edges:
Then the answer is:

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Mar13 leme

  • 1. Name: Jos辿 Costa Leme Teacher: Lanheses HighSchool, Viana do Castelo, Portugal March 2013 Challenge The geometry is shown in figure. As in the figure, the system can be considered as 2 capacitors connected in parallel. 1 0 h x =k0 d 2 The capacitance values for each capacitor are; So that the system capacitance is Write the energy stored in the capacitor as a function of h in terms voltage: V. We calculate the force F on the dielectric, The electric force must be equal to the weight of the liquid that reaches the top edges: