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. F 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
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. F 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
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter16: Electrical Energy And Capacitance
Section: Chapter Questions
Problem 5CQ: A parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0...
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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.
F
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)
F
(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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