Shown in the figure below is a capacitor. Each plate has an area of A=1.48e-02 m² and has a gap d= 6.3e-04 meters. At the first moment, the capacitor is empty. At the second moment it is partly filled with a dielectric of constant K = 2.39. The dielectric layer leaves a free area of A, 8.88e-03 m² and covers the filled area A, - 5.92-03 m². Empty Capacitor Area = A d d Partly Filled Capacitor Area A₁ Area = A, KEA Write the FORMULA for the capacitance of the empty capacitor. - Determine the formula for the partly filled capacitor Cred dielectric constant K Determine the capacitance of the empty capacitor Cempty=0.00000000049: Farads When you partly fill the capacitor, which of these best describes the new configuration: O Both series and parallel O Series O Parallel O Neither series nor parallel Determine the value of the partly filled capacitor Cred x Farads

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter26: Capacitance And Dielectrics
Section: Chapter Questions
Problem 26.10OQ: (i) A battery is attached to several different capacitors connected in parallel. Which of the...
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Shown in the figure below is a capacitor. Each plate has an area of A = 1.48e-02 m² and has a gap d = 6.3e-04 meters. At the first moment, the capacitor is empty. At the second moment it is partly filled with a dielectric of constant K = 2.39. The dielectric layer leaves a free area of A, = 8.88e-03 m² and covers the
filled area A₂ = 5.92e-03 m².
d
Empty Capacitor
Area = A
d
Partly Filled Capacitor
O Parallel
O Neither series nor parallel
Area = A₁
-
Write the FORMULA for the capacitance of the empty capacitor.
Area = A₂
Determine the formula for the partly filled capacitor Crilled =
Determine the capacitance of the empty capacitor Cempty = 0.00000000049: x Farads
When you partly fill the capacitor, which of these best describes the new configuration:
O Both series and parallel
O Series
Be careful with which value is A₁ vs. which value is A₂.
kε A
ke
• If the charge splits between the caps, parallel.
If the charge is the same on both caps, series.
•
The formula for the filled capacitor should use A₁ and A₂ (NOT A).
dielectric constant K
X
Determine the value of the partly filled capacitor Crilled =
NOTE: Decide whether the partly filled capacitor acts like parallel or series by following the charge:
Farads
Transcribed Image Text:Shown in the figure below is a capacitor. Each plate has an area of A = 1.48e-02 m² and has a gap d = 6.3e-04 meters. At the first moment, the capacitor is empty. At the second moment it is partly filled with a dielectric of constant K = 2.39. The dielectric layer leaves a free area of A, = 8.88e-03 m² and covers the filled area A₂ = 5.92e-03 m². d Empty Capacitor Area = A d Partly Filled Capacitor O Parallel O Neither series nor parallel Area = A₁ - Write the FORMULA for the capacitance of the empty capacitor. Area = A₂ Determine the formula for the partly filled capacitor Crilled = Determine the capacitance of the empty capacitor Cempty = 0.00000000049: x Farads When you partly fill the capacitor, which of these best describes the new configuration: O Both series and parallel O Series Be careful with which value is A₁ vs. which value is A₂. kε A ke • If the charge splits between the caps, parallel. If the charge is the same on both caps, series. • The formula for the filled capacitor should use A₁ and A₂ (NOT A). dielectric constant K X Determine the value of the partly filled capacitor Crilled = NOTE: Decide whether the partly filled capacitor acts like parallel or series by following the charge: Farads
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