NadaElhalabi3471 NadaElhalabi3471
  • 14-09-2019
  • Physics
contestada

What plate area is required if an air-filled, parallel-plate capacitor with a plate separation of 3.1 mm is to have a capacitance of 23 pF ?

Respuesta :

Muscardinus Muscardinus
  • 16-09-2019

Explanation:

Given that,

Separation between the plates, d = 3.1 mm = 0.0031 m

Capacitance of the capacitor, C = 23 pF

We need to find the area of the plate. The capacitance of a parallel plate capacitor is given by :

[tex]C=\dfrac{A\epsilon_0}{d}[/tex]

[tex]A=\dfrac{Cd}{\epsilon_0}[/tex]

[tex]A=\dfrac{23\times 10^{-12}\times 0.0031}{8.85\times 10^{-12}}[/tex]

[tex]A=0.0080\ m^2[/tex]

or

[tex]A=80\ cm^2[/tex]

So, the area of the plate is 80 square centimetres. Hence, this is the required solution.

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