2 years ago

The top speed you will ever need to go in a parking lot is_

Physics

1 answer:

Kruka [31]2 years ago

3 0

10 mph i jus got it right on the test

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alukav5142 [94]

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5308.34 N/C

Explanation:

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Surface density of each plate (σ) = 47.0 nC/m² = $47\times 10^{-9}\ C/m^2$

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We know, from Gauss law for a thin sheet of plate that, the electric field at a point near the sheet of surface density 'σ' is given as:

$E=\dfrac{\sigma}{2\epsilon_0}$

Now, as the plates are oppositely charged, so the electric field in the region between the plates will be in same direction and thus their magnitudes gets added up. Therefore,

$E_{between}=E+E=2E=\frac{2\sigma}{2\epsilon_0}=\frac{\sigma}{\epsilon_0}$

Now, plug in $47\times 10^{-9}\ C/m^2$ for 'σ' and $8.85\times 10^{-12}\ F/m$ for $\epsilon_0$ and solve for the electric field. This gives,

$E_{between}=\frac{47\times 10^{-9}\ C/m^2}{8.854\times 10^{-12}\ F/m}\\\\E_{between}= 5308.34\ N/C$

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