Shown in the figure below is a capacitor. Each plate has an area of A = 1.38e-02 m2 and has a gap d = 8.7e-04 meters. At the first moment, the capacitor is empty. At the second moment it is partly filled with a dielectric of constant K = 4.92. The dielectric layer leaves a free area of A1 = 5.52e-03 m2 and covers the filled area A2 = 8.28e-03 m2 . Write the FORMULA for the capacitance of the empty capacitor.

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Chapter1: Units, Trigonometry. And Vectors
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Shown in the figure below is a capacitor. Each plate has an area of A = 1.38e-02 m2 and has a gap d = 8.7e-04 meters. At the first moment, the capacitor is empty. At the second moment it is partly filled with a dielectric of constant K = 4.92. The dielectric layer leaves a free area of A1 = 5.52e-03 m2 and covers the filled area A2 = 8.28e-03 m2 .



Write the FORMULA for the capacitance of the empty capacitor. 

 
 
 




Determine the capacitance of the empty capacitor Cempty =  Farads

When you partly fill the capacitor, which of these best describes the new configuration:

SeriesNeither series nor parallel    Both series and parallelParallel




Determine the formula for the partly filled capacitor Cfilled = 

 
 
 




Determine the value of the partly filled capacitor Cfilled =  Farads

NOTE: Decide whether the partly filled capacitor acts like parallel or series by following the charge:

  • 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).

Be careful with which value is A1 vs. which value is A2.

d
Empty Capacitor
Area = A
d
Partly Filled Capacitor
Area = A₁
1
Area = A₂
dielectric constant K
Transcribed Image Text:d Empty Capacitor Area = A d Partly Filled Capacitor Area = A₁ 1 Area = A₂ dielectric constant K
d
Empty Capacitor
Area = A
d
Partly Filled Capacitor
Area = A₁
1
Area = A₂
dielectric constant K
Transcribed Image Text:d Empty Capacitor Area = A d Partly Filled Capacitor Area = A₁ 1 Area = A₂ dielectric constant K
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