The general form of Gauss's law describes how a charge cre-ates an electric field in a material, as well as in vacuum:TinE · dA =where e = Ke, is the permittivity of the material. (a) A sheetwith charge Q uniformly distributed over its area A is sur-rounded by a dielectric. Show that the sheet creates a uni-form electric field at nearby points with magnitude E =Q/2 Ae. (b) Two large sheets of area A, carrying oppositecharges of equal magnitude Q, are a small distance d apart.Show that they create uniform electric field in the spacebetween them with magnitude E = Q/Ae. (c) Assume thenegative plate is at zero potential. Show that the positiveplate is at potential Qd/Ae. (d) Show that the capacitance ofthe pair of plates is given by C = Ae/d = KA€,/d.

The given expression for the general form of the Gauss’s law, Using the general form of the…

Answered: The general form of Gauss's law…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 18P

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