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Unformatted text preview: ± Q is put on the plates. The space between the plates is gradually being ﬁlled with water with dielectric constant κ . At any instant the height ﬁlled with water is h (where 0 < h < d ). (a) What is the initial capacitance (for h = 0)? (b) What is the initial voltage? (c) What is the initial energy stored in this capacitor? (d) For h = d/ 2, graph the magnitude of the electric ﬁeld E , as a function of the distance from the bottom plate, h . (e) Discuss where free and induced charged densities are located and how they relate to the graph from part (d). 1 (f) For for h = d/ 2, sketch the potential as a function of z . (g) Calculate the capacitance as a function of h . (h) Calculate the energy stored in the capacitor as a function of h . 2...
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 Fall '11
 Haase
 Energy, Ode, Electric charge, Permittivity, vertical gravitational field, constant charge ±Q

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