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Montano1993 [528]
4 years ago
10

To get an idea how big a farad is, suppose you want to make a 1-F air-filled parallel-plate capacitor for a circuit you are buil

ding. To make it a reasonable size, suppose you limit the plate area to What would the gap have to be between the plates? Is this practically achievable?
Physics
1 answer:
Triss [41]4 years ago
4 0

Answer:

  • Gap between the plates 8.85\times 10^{- 16}\ m
  • No, practically not achievable

Solution:

As per the question:

Capacitance, C = 1 F

Area of the plate of the capacitor, A = 1\ cm^{2} = 1\times 10^{- 4}\ m^{2}

Now,

To calculate the distance, D between the plates of a parallel plate capacitor:

C = \frac{\epsilon_{o}A}{D}

Thus

D = \frac{\epsilon_{o}A}{C}

where

\epsilon_{o} = permittivity of free space

Now,

D = \frac{8.85\times 10^{- 12}\times 1\times 10^{- 4}}{1}

D = 8.85\times 10^{- 16}\ m

This distance much smaller and is practically not possible

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