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Mnenie [13.5K]
3 years ago
6

You need to construct a 100 pF capacitor for a science project. You plan to cut two L x L metal squares and insert small spacers

between their corners. The thinnest spacers you have are 0.20 mm thick. What is the proper value of L?
Physics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

value of L = 4.75 cm

Explanation:

given data

capacitor =  100 pF = 100 × 10^{-12} F

thick = 0.20 mm = 2 × 10^{-4}  m

solution

we get here area of each plate that is

area = L²   .......................1

and

Capacitance, C = εo A ÷ d    ..................2

put here value so we get

100 × 10^{-12} = 8.854 × 10^{-12}   × L² ÷  ( 2 × 10^{-4} )

solve it and we will get

L =  0.047528 m

value of L = 4.75 cm

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Answer:

The total surface are of the bowl is given by: 0.0532*pi m² (approximately 0.166533 m²)

Explanation:

The total surface area of the semi-spherical bowl can be decomposed in three different sections: 1) an outer semi-sphere of radius 12 cm, 2) an inner semi-sphere of radius 10 cm, and 3) the edge, which is a 2-dimensional ring with internal radius of 10 cm and external radius of 12 cm. We will compute the areas independently and then sum them all.

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A = A1 + A2 + A3 = 288*pi cm² + 200*pi cm² + 44*pi cm² = 532*pi cm² (approximately 1665.33 cm²)

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