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# A potential difference of 480V is established between largeparallel, metal plates. Let the potential of one plate be 480V andthe other be 0V. The plates are separated by d = 1.70cm. a) Sketch the equipotential surfaces that correspond to 0, 120,240, 360, and 480 V. b) In your sketch, show the electric field lines. Does yoursketch confirm that the field lines and surfaces are mutually perpendicular? # A potential difference of 480V is established between largeparallel, metal plates. Let the potential of one plate be 480V andthe other be 0V. The plates are separated by d = 1.70cm. a) Sketch the equipotential surfaces that correspond to 0, 120,240, 360, and 480 V. b) In your sketch, show the electric field lines. Does yoursketch confirm that the field lines and surfaces are mutually perpendicular?

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Other asked 2021-03-30
A potential difference of 480V is established between largeparallel, metal plates. Let the potential of one plate be 480V andthe other be 0V. The plates are separated by d = 1.70cm.
a) Sketch the equipotential surfaces that correspond to 0, 120,240, 360, and 480 V.
b) In your sketch, show the electric field lines. Does yoursketch confirm that the field lines and surfaces are mutually perpendicular?

## Answers (1) 2021-04-01
(a) The Ev lines are perpendicular to the plates and uniformevery where betwn the plates. Sketch some of these horiz lines,with the plates vertical. Sorry i diont have draving skill.But you can do it. Follow these.
The plates themselves are equipot surfaces. A conductingsurface is always at the same pot at every point on it.The plate on the left at V = 0 is the firstequipot surface for V = 0.
The second plate at d = 1.70 cm is another equipotsurface with V = 480 V.
We can see from the relation E = ΔV/dfor a uniform field, that ΔV = E.d Thechange in pot is proportional to the displacement.
Hence, the planes parrallel to the plates and at $$\displaystyle{d}_{{1}}=\frac{{1.7}}{{4}}={0.425}{c}{m},{d}_{{2}}={\frac{{{1.7}}}{{{2}}}}={0.85}{c}{m}$$ and $$\displaystyle{d}_{{3}}={1.7}\times{\frac{{{3}}}{{{4}}}}={1.275}\ {c}{m}$$ are equipot surfaces with $$\displaystyle{V}_{{1}}={120},{V}_{{2}}={240}$$ and $$\displaystyle{V}_{{3}}={360}{V}$$ respectively.
(b) The field lines are perpendicular to the plates. The equipot surfaces are parallel to the plates. Hence the field lines and equipot surfaces are perepndicular to each other.

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Previous studies show that $$\sigma_1 = 19$$.
For Englewood (a suburb of Denver), a random sample of $$n_2 = 12$$ winter days gave a sample mean pollution index of $$x_2 = 37$$.
Previous studies show that $$\sigma_2 = 13$$.
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(b) What sampling distribution will you use? What assumptions are you making? NKS The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
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At the $$\alpha = 0.01$$ level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the $$\alpha = 0.01$$ level, we reject the null hypothesis and conclude the data are statistically significant.
At the $$\alpha = 0.01$$ level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the $$\alpha = 0.01$$ level, we reject the null hypothesis and conclude the data are not statistically significant.
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Fail to reject the null hypothesis, there is insufficient evidence that there is a difference in mean pollution index for Englewood and Denver.
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upper limit
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Because the interval contains both positive and negative numbers, this indicates that at the 99% confidence level, we can not say that the mean population pollution index for Englewood is different than that of Denver.
Because the interval contains both positive and negative numbers, this indicates that at the 99% confidence level, the mean population pollution index for Englewood is greater than that of Denver.
Because the interval contains only negative numbers, this indicates that at the 99% confidence level, the mean population pollution index for Englewood is less than that of Denver.
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