Electric Potential Integral Question Confused

AI Thread Summary
The discussion centers on confusion regarding the integral for electric potential, specifically questioning the limits of integration and the relationship between electric field and potential. The user notes that the potential due to a point charge is typically expressed as V=Kq/R, leading to uncertainty about the integration from -2 to 3 instead of from infinity. Clarification is provided that the integrand represents the potential contribution from a small charge element along a rod, with emphasis on identifying the correct numerator for the integrals. It is suggested to evaluate the positions of the rod's ends to determine the potential at a specific point. Understanding these concepts is crucial for solving the problem correctly.
lorx99
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Homework Statement


upload_2018-10-6_15-56-57.png


Homework Equations


E=KQ/R^2

The Attempt at a Solution


I'm kinda confused at what the question is asked. It is in terms of x, but I thought the integral for potential is V=int(Edr)? Also, should it be integration starting from infinity? Why is the integration from -2 to 3?. I'm just confused by the wording...
 

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Potential due to a point charge is given by
V=Kq/R
You can use this to write potential due to a small element and then integrate.
 
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First look at the five integrands. You can discard some of them because they have the wrong numerator. This means you have to find the correct numerator.

Then look at the denominators of the integrals that passed the previous test. The integrand is the contribution to the potential from charge ##dq## placed at point ##x## along the rod. This includes the ends. Substitute the positions of the ends of the rod for ##x## and see if you get the potential at ##x=5~m## from a point charge placed there.
 
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