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lorasvet [3.4K]
3 years ago
9

A parallel-plate capacitor made of circular plates of radius 75 cm separated by 0.15 cm is charged to a potential difference of

1000 volts by a battery. Then a sheet of polyvinyldienedifluoride film is pushed between the plates, completely filling the gap between them. How much additional charge flows from the battery to one of the plates when the polyvinyldienedifluoride film is inserted

Physics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

See the attached pictures for detailed steps.

Explanation:

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The solution would be like this for this specific problem:

<span>
The force on m is:</span>

<span>
GMm / x^2 + Gm(2m) / L^2 = 2[Gm (2m) / L^2] -> 1

The force on 2m is:</span>

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GM(2m) / (L - x)^2 + Gm(2m) / L^2 = 2[Gm (2m) / L^2] -> 2

From (1), you’ll get M = 2mx^2 / L^2 and from (2) you get M = m(L - x)^2 / L^2 

Since the Ms are the same, then 

2mx^2 / L^2 = m(L - x)^2 / L^2 

2x^2 = (L - x)^2 

xsqrt2 = L - x 

x(1 + sqrt2) = L 

x = L / (sqrt2 + 1) From here, we rationalize. 

x = L(sqrt2 - 1) / (sqrt2 + 1)(sqrt2 - 1) 

x = L(sqrt2 - 1) / (2 - 1) 


x = L(sqrt2 - 1) </span>

 

= 0.414L

 

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Answer:

Capacitance, C = 26.1 picofarad

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