How to find potential over a line charge

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The discussion focuses on calculating the electric potential from a uniform line charge extending along the x-axis, specifically along the z-axis. The initial approach involves using the potential formula V=k*integral[(λ/r)dl], with r defined as sqrt(z^2+l^2). Participants explore various integration techniques, including trigonometric substitutions, to simplify the integral and verify results. They emphasize the importance of checking units throughout the calculations to ensure accuracy. Ultimately, the potential at infinity is confirmed to be zero, and participants discuss reconciling different forms of their answers for consistency.
  • #31
Yup, that's right. If you rationalize the denominator in your first result, you can turn it into your second result.
 
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  • #32
Oh ok well I will check that later and take your word on it for tonight. Thank you so much for your help on this problem.
 
  • #33
I tried to plug in values to see if my two answers were equivalent, and it wasn't working out. Maybe it's just because I am tired, but I just thought I would let you know. Thanks again.
 

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