(a) A sheet with charge Q uniformly distributed over its area A is surrounded by a dielectric. Show that the sheet creates a uniform electric field at nearby points and derive an expression for the magnitude of the field. (b) Two large sheets of area A, carrying opposite charges of equal magnitude Q, are a small distance d apart. Show that they create a uniform electric field in the space between them and derive an expression for the magnitude of the field. (c) Assume the negative plate is at zero potential. Derive an expression for the potential at the positive plate. (d) Derive an expression for the capacitance of the pair of plates.

(a) A sheet with charge Q uniformly distributed over its area A is surrounded by a dielectric. Show that the sheet creates a uniform electric field at nearby points and derive an expression for the magnitude of the field. (b) Two large sheets of area A, carrying opposite charges of equal magnitude Q, are a small distance d apart. Show that they create a uniform electric field in the space between them and derive an expression for the magnitude of the field. (c) Assume the negative plate is at zero potential. Derive an expression for the potential at the positive plate. (d) Derive an expression for the capacitance of the pair of plates.

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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Electric Charges and Fields

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Question

Opgave 25.32:
(a) A sheet with charge Q uniformly distributed over its area A is surrounded by a dielectric. Show
that the sheet creates a uniform electric field at nearby points and derive an expression for the
magnitude of the field.
(b) Two large sheets of area A, carrying opposite charges of equal magnitude Q, are a small
distance d apart. Show that they create a uniform electric field in the space between them and
derive an expression for the magnitude of the field.
(c) Assume the negative plate is at zero potential. Derive an expression for the potential at the
positive plate.
(d) Derive an expression for the capacitance of the pair of plates.

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