Three conducting plates, each of area A, are connected as shown in the figure. a) Are the two capacitors connected in series or in parallel, (show it how)? b) Determine the equivalent capacitance C as a function of d1, d2, and A. Assume di + d2 is much less than the dimensions of the plates. c) The middle plate can be moved (changing the values of d, and d2), so as to vary the capacitance. Let d, + d2= L and d, = x and d2 = L - x, Hence, determine the minimum and the maximum values of the net capacitance?

Three conducting plates, each of area A, are connected as shown in the figure. a) Are the two capacitors connected in series or in parallel, (show it how)? b) Determine the equivalent capacitance C as a function of d1, d2, and A. Assume di + d2 is much less than the dimensions of the plates. c) The middle plate can be moved (changing the values of d, and d2), so as to vary the capacitance. Let d, + d2= L and d, = x and d2 = L - x, Hence, determine the minimum and the maximum values of the net capacitance?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

Three conducting plates, each of area A, are connected as shown in the
figure.
a) Are the two capacitors connected in series or in parallel, (show it
how)?
b) Determine the equivalent capacitance C as a function of d1, d2,
and A. Assume d, + d2 is much less than the dimensions of the
plates.
c) The middle plate can be moved (changing the values of d, and
d2), so as to vary the capacitance. Let d, + d2= L and d, = x and
d2 = L - x, Hence, determine the minimum and the maximum
values of the net capacitance?
d) What is the energy stored in the capacitance when it is fully
charged.

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