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T o get an idea how big a farad is, suppose you want to make a 1-F air-filled pa

ID: 1526512 • Letter: T

Question

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 building. to make it a reasonable size, suppose you limit the play area to 1.0 cm². what would the gap have to be between the plates? Is this practically achievable? Answer: 9 x 10^-16 m, no. How do you get to the answer? 43. (II) 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 building. To make it a reasonable size, suppose you limit the plate area to 1.0 cm2. What would the gap have to be between the plates? Is this practically achievable?

Explanation / Answer

According to the given problem,

a) We know that,

C = k ° A / d where ° = 8.854 10^-12 F /m ,air k = 1
A = 1 cm2 = 0.0001 m2 = 1.0 10-4 and C = 1F

d = ° A / 1
d = 8.854*10-12 * 1 *10-4 = 8.854 10-16 m

d = 9*10-16m

b) It is pratically impossible beacuse its very very very small value to achive.