(a) Write down the integral and differential forms of Gauss' law in a dielec-tric, defining all quantities used.(b) A parallel plate capacitor is completely filled with a non-conductingdielectric. Show that the electric displacement, D, is uniform betweenthe plates and calculate its value. (You may assume that the plates eachhave area A and are separated by a small distance d. Each plate carriesa surface charge density o C/m2.)(c) The dielectric has a non-uniform relative permittivityK(x) = ax + bwhere a and b are constants and x is the perpendicular distance from oneplate. Using Gauss' law, show that the electric field between the platessatisfiesEoE(x) =K (x)where Eo is a constant. Find the value of Eo.(d) Show that the voltage across the capacitor is given byEoV:Inb.and calculate the capacitance.(e) Find the volume polarization charge density in the dielectric.til

Integral form of Gauss law: Consider two parallel-plate conductors having plane area S, separation d…

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Write down the integral and differential forms of Gauss' law in a dielec- tric, defining all quantities used.

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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