Answered: The plates of parallel plate capacitor…

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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Question

The plates of parallel plate capacitor A consist of two metal discs of identical radius, R1 = 4.00 cm, separated by a distance d = 2.00 mm, as shown in the figure below.

a.Calculate the capacitance of this parallel plate capacitor with the spacebetween the plates filled with air.

b.A dielectric in the shapeof a thick-walled cylinder of outer radiusR1= 4.00 cm, inner radius R2= 2.00 cm, thickness d = 2.00 mm, anddielectric constant k= 2.00 is placed between the plates, coaxial with them, as shown in the figure. Calculate the capacitance of capacitor B, with this dielectric.

c.The dielectric cylinder is removed, and instead a solid disc of radius R1 made of the same dielectric is placed between the plates to form capacitor C, as shown in the figure. What is the new capacitance?

Capacitor A
Capacitor B
Capacitor C
Top view
Metal disc
R₁
Air
Dielectric
R₁
Dielectric
Side view
|R₂|e
Air

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