Why Do Certain Answers Apply in Basic Electric Field Questions?

In summary, the conversation is discussing two specific questions related to electric fields and potential. Question 16 involves a uniform charge distribution and the concept of electric fields. Question 30 involves considering only one factor in determining the magnitude of an electric field. The correct answers for these questions are e and a respectively.
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DivideBy0
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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?
 

FAQ: Why Do Certain Answers Apply in Basic Electric Field Questions?

What is an electric field?

An electric field is a physical quantity that describes the influence that an electric charge has on other charges in its vicinity. It is a vector quantity, meaning it has both magnitude and direction. Electric fields are created by electric charges and can be either positive or negative.

How is an electric field measured?

The strength of an electric field is measured in units of newtons per coulomb (N/C). This unit is a measure of the force per unit charge that a charged particle would experience when placed in the electric field. Electric fields can also be measured using specialized instruments such as an electroscope or a voltmeter.

What is the relationship between electric fields and electric charges?

Electric fields are created by electric charges. The strength of an electric field is directly proportional to the magnitude of the electric charge that created it. Additionally, the direction of the electric field is determined by the sign of the charge, with like charges repelling each other and opposite charges attracting each other.

How can the direction of an electric field be determined?

The direction of an electric field can be determined by placing a positive test charge in the field and observing the direction in which it moves. The direction of the electric field is always in the direction that a positive test charge would move. This means that the electric field lines always point away from positive charges and towards negative charges.

What are some practical applications of electric fields?

Electric fields have a wide range of practical applications, including powering electronic devices, charging batteries, and generating electricity. They are also used in medical imaging techniques such as MRI and in particle accelerators for scientific research. Electric fields are also used in everyday objects such as household appliances, computers, and cell phones.

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