Answered: A parallel-plate capacitor as shown in…

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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Hello,

Though I understand how to calculate the capacitance with dielectic inserted, I have no idea how to deal with problems with partially-filled in dilectrics. Not to mention the work required to remove the dielectric in either battery-connected or battery-disconnected state. Could you please help me explain?

A parallel-plate capacitor as shown in the figure below has plate area S and distance
between the plates d. Initially, a dielectric slab with relative dielectric constant ɛr and
thickness t (t <d) is placed inside the capacitor. The capacitor is charged with an electric
potential difference V between the two plates. Suppose the fringing effect can be
neglected (no electric field outside the
(a) Derive the expression of capacitance for this partially filled capacitor.
(b) Open the switch. What is the minimal work done by an external force to take out the
capacitor).
dielectric slab?
(c) Keep the switch closed. What is the minimal work done by an external force to take
out the dielectric slab?
t

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