Why Do Certain Answers Apply in Basic Electric Field Questions?

AI Thread Summary
The discussion centers on confusion regarding the correct answers to specific electric field questions. For question 16, the participant questions why option D is incorrect, despite intuitively choosing E based on parallel plates and uniform electric fields. The explanation highlights that the charge distribution in D does not yield the same electric field characteristics as E. In question 30, the participant mistakenly associates higher voltage with higher potential, but the correct answer is A, as the magnitude of the electric field is determined by the ratio of voltage change to distance. Understanding these principles clarifies the reasoning behind the correct answers.
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Homework Statement


I'm confused about [question 16](http://image.prntscr.com/image/41a5c611927c44a7ac30104be3dd10ee.png) and [question 30](http://image.prntscr.com/image/a6aea3b9a8f04df9aca0dfe14054d4ce.png). The correct answers are e and a respectively.

Homework Equations

The Attempt at a Solution



For 16, why did D not work? Intuitively, I chose E because of parallel plates that have equal electric fields, but what is the integral for choice D and E and why are they different?

For 30, I thought higher voltage meant higher potential so I thought the answer should be C and D. Why is it A?
 
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Welcome to PF, DivideBy0.

16. The graph shows a uniform charge distribution, independent of x. Consider the charge distribution described in D. What does it look like? What do you know about the electric field that results from such a distribution?

30. You need to consider only one thing. The magnitude of the electric field can be approximated by ##|\vec{E}|=|\frac{\Delta V}{\Delta s}|##. Where is this ratio the greatest?
 
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