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Naya [18.7K]
3 years ago
8

Extension boards allow many plugs to use a single electrical source. The extension board shown here is special because it can be

stretched or extended as shown here. What is the advantage of this extension board compared to non-extendable boards with the same number of plug points?

Physics
1 answer:
Anna35 [415]3 years ago
7 0

Explanation:

The extra space between outlets accommodates multiple "wall wart" plug-in power converters.

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The diameter of the disks is 1.32 cm.

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The potential difference V between the disks separated by a distance d is given by,

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C=\frac{Q}{V} \\ =\frac{(2.4*10^-^1^0C)}{100V} \\ =2.4*10^-^1^2F

The capacitance of a parallel plate capacitor is given by,

C=\frac{\epsilon_0A}{d}

Here, ε₀ is the permittivity of free space  and A is the area of the disks.

Rewrite the expression for A.

C=\frac{\epsilon_0A}{d}\\ A=\frac{Cd}{\epsilon_0} \\ =\frac{(2.4*10^-^1^2F)(0.50*10^-^3m)}{(8.85*10^-^1^2C^2/Nm^2)} \\ =1.36*10^-^4m^3

the area A of the disks is given by,

A=\frac{\pi D^2}{4} \\ D=\sqrt{\frac{4A}{\pi } }

Here, D is the diameter of the disk.

D=\sqrt{\frac{4A}{\pi } }\\ =\sqrt{\frac{4(1.36*10^-^4m^2)}{3.14} } \\ =0.01316m\\ =1.32cm

The diameter of each disc is found to be 1.32 cm.



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