Electric field from very long wire

AI Thread Summary
The discussion revolves around calculating the electric field generated by a long straight wire with a linear charge density of 1.5 * 10^-10 C/m, specifically determining the distance at which the electric field equals 2.5 N/C. Participants consider using integration to solve the problem but express confusion about the limits of integration, questioning whether to integrate from negative infinity to infinity. There is a suggestion to utilize Gauss's Law as a potential method for solving the problem. The conversation highlights the challenges of integrating electric fields without specific numerical limits. Understanding Gauss's Law may provide a clearer approach to finding the solution.
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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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