Determine Electric Field At Origin

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SUMMARY

The discussion focuses on calculating the electric field at the origin due to a line of uniform charge extending from x=+X0 to positive infinity with a uniform linear charge density U. The electric field is derived using the equation E=kU/x0, where k is the Coulomb's constant. The user seeks confirmation of their understanding and is reminded to consider the direction of the electric field generated by the infinitesimal charges along the line.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Familiarity with calculus, specifically integration
  • Knowledge of linear charge density concepts
  • Basic grasp of vector direction in electric fields
NEXT STEPS
  • Review the derivation of electric fields from continuous charge distributions
  • Study the concept of electric field direction and its implications
  • Explore the application of integration in physics problems involving charge distributions
  • Learn about the effects of varying linear charge densities on electric fields
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields generated by continuous charge distributions.

lufbra08
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Homework Statement



A line of uniform charge starts at x=+X0 and extends to positive infinity with uniform linear charge density U. Determine the electric field at the origin.

Homework Equations



E=kQ/r^2

The Attempt at a Solution



dQ=Udr

E=kU int(from x0 to infinity)dr/r^2

E=kU/x0

Sorry the equations are a bit tricky to read but I just need to check that I have understood the problem correctly. Any help appreciated :) Thanks guys
 
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You don't seem to have taken into account the direction of the electric field due to the infinitesimal charges.
 

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