Magnitude of the Line Charge Density of a Power Line

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SUMMARY

The forum discussion centers on the calculation of line charge density in power lines, specifically addressing the confusion surrounding the use of voltage equations. The user initially struggled with the correct formulation, mistakenly using the equation ##\Delta V = -E\,r## instead of the more accurate ##dV = -E\,dr##. The community provided guidance, leading to the user's successful resolution of the issue and appreciation for the support received.

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frankifur
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Homework Statement
The potential difference between the surface of a 3.1 cm - diameter power line and a point 1.4 m distance is 3.9 kV.
Relevant Equations
Delta V = - E Delta r
Phi = Integral (E A) = qenc/epsilon naught
Okay so I am a little confused as to where I made a mistake. I couldn't figure out how to program Latex into this website but I attached a file with the work I did and an explanation of my thought process along the way.
 

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  • Physics Homework Help.pdf
    Physics Homework Help.pdf
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  • Screenshot 2023-02-13 at 3.34.33 PM.png
    Screenshot 2023-02-13 at 3.34.33 PM.png
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Welcome to PF.

frankifur said:
I couldn't figure out how to program Latex into this website
See the "LaTeX Guide" link at the lower left of the Edit window. :smile:
 
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Hello @frankifur ,
:welcome: ##\qquad## !​

frankifur said:
confused as to where I made a mistake

You want to use something better than ##\Delta V = -E\,r ##. Closer to ## dV = -E\, dr ##.

##\ ##
 
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I figured it out, thanks for the help and I appreciate how welcoming you all have been!
 
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