A parallel plate capacitor has plates of area A = 8.00 x 10-2 m² separated by distance d = 2.22 x 10-4 m. (The permittivity of free space is = 8.85 x 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 x = 3.10 as in figure (a), and figure (b)? (Hint: One of the capacitors is a parallel combination and the other is a series combination.) (b) figure (a) (c) figure (b) a F A K b A Ⓡ

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Chapter8: Capacitance
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Problem 51P: An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each...
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A parallel plate capacitor has plates of area A = 8.00 x 10-2 m² separated by distance d = 2.22 x 10-4 m. (The permittivity of free space is = 8.85 x 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 x = 3.10 as in figure (a), and figure (b)? (Hint: One of the capacitors is a parallel combination and the other is a
series combination.)
(b) figure (a)
(c) figure (b)
a
F
F
A
K
b
A
Transcribed Image Text:A parallel plate capacitor has plates of area A = 8.00 x 10-2 m² separated by distance d = 2.22 x 10-4 m. (The permittivity of free space is = 8.85 x 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 x = 3.10 as in figure (a), and figure (b)? (Hint: One of the capacitors is a parallel combination and the other is a series combination.) (b) figure (a) (c) figure (b) a F F A K b A
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