Electric field from very long wire

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SUMMARY

The discussion centers on calculating the electric field generated by a very long straight wire with a linear charge density of 1.5 x 10^-10 C/m. The objective is to determine the distance from the wire where the electric field magnitude equals 2.5 N/C. Participants express confusion regarding the integration limits for calculating the electric field, specifically whether to integrate from negative infinity to positive infinity or from -a to a. The mention of Gauss's Law indicates its relevance in solving this problem.

PREREQUISITES
  • Understanding of electric fields and their calculations
  • Familiarity with Gauss's Law
  • Basic knowledge of calculus, specifically integration
  • Concept of linear charge density
NEXT STEPS
  • Study the application of Gauss's Law in electrostatics
  • Learn how to calculate electric fields from continuous charge distributions
  • Explore integration techniques for electric field calculations
  • Review examples of electric fields from infinite line charges
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields generated by charged wires.

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Homework Statement



A very long straight wire has a charge of 1.5 * 10^-10 C/m. at what distance from the wire is the electric field magnitude equal to 2.5 N/C

Homework Equations



I was thinking about intergrating the electric field?

The Attempt at a Solution



the thing I am having a problem with if i attempt to integrate the field is from which point to which point to integrate to? negative infinite to infinite? like usually i just do this with algebra and no number to solve for say to integrate the field from -a to a but in the end A is still in the equation.
 
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Eats Dirt said:

Homework Statement



A very long straight wire has a charge of 1.5 * 10^-10 C/m. at what distance from the wire is the electric field magnitude equal to 2.5 N/C

Homework Equations



I was thinking about integrating the electric field?

The Attempt at a Solution



the thing I am having a problem with if i attempt to integrate the field is from which point to which point to integrate to? negative infinite to infinite? like usually i just do this with algebra and no number to solve for say to integrate the field from -a to a but in the end A is still in the equation.
Do you know Gauss's Law ?
 

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