Electric field caused by a uniform linear charge

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SUMMARY

The discussion centers on calculating the electric field caused by a uniform linear charge density of λ = 2.0 nC/m along the x-axis from x = 0 to x = 3 m. The integral proposed for the electric field magnitude at x = -4 m is ∫(18 dx)/(4+x)² from 0 to 3. The participants emphasize the importance of including units in the calculations to ensure clarity and accuracy in the results.

PREREQUISITES
  • Understanding of electric fields and charge distributions
  • Knowledge of calculus, specifically integration techniques
  • Familiarity with the concept of linear charge density
  • Basic physics principles related to electrostatics
NEXT STEPS
  • Study the derivation of the electric field from continuous charge distributions
  • Learn about the application of integrals in calculating electric fields
  • Explore the concept of electric field lines and their significance
  • Review the importance of units in physics calculations
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Students in physics, particularly those studying electromagnetism, educators teaching electrostatics, and anyone interested in understanding electric fields generated by charge distributions.

gotem3303
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A uniform linear charge density of \lambda = 2.0 nC/m is distributed along the x-axis from x = 0 to x =3m. Which integral is correct for the magnitude of the electric field at x = -4 m on the x axis?
I'm going over a old test and he didn't circle the correct answer but I'm trying to understand the denominator.
I'm pretty sure I have everything but the denominator, would it be \int\frac{18dx}{(4+x)^{2}} from 0 to 3?
 
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Looks okay, except that you did not write any of the units.
 

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