Answered: A parallel plate capacitor has 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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Question

A parallel plate capacitor has plates of area

A = 6.50 ✕ 10⁻² m²

separated by distance

d = 2.07 ✕ 10⁻⁴ m.

(The permittivity of free space is

?₀ = 8.85 ✕ 10⁻¹² C²/(N · m²).)

HINT

(a)

Calculate the capacitance (in F) if the space between the plates is filled with air.

What is the capacitance (in F) if the space is filled half with air and half with a dielectric of constant ? = 2.30 as in figure (a), and figure (b)? (Hint: One of the capacitors is a parallel combination and the other is a series combination.)

Two figures each show a horizontally-oriented parallel-plate capacitor partially filled with a dielectric material with dielectric constant ?. The other half is filled with air. Each plate has area A and a distance d separates the plates.

Figure (a): The dielectric material fills the top half of the space between the plates.
Figure (b): The dielectric material fills the right half of the space between the plates.

(b)

figure (a)

(c)

figure (b)

The capacitance of a series combination of capacitors is always less than the smallest capacitance in the set. The capacitance of a parallel combination of capacitors is always greater than the largest capacitance in the set. F

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