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Electric field by infinite line of charge

  • Thread starter Sam99
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1. Homework Statement
Given an infinitely long line of charge density λ extended along the x-axis, what is the electric field at a point X = x(x')+y(y')+z(z') (in space)?


2. Homework Equations

E = kq / r^2, dq = (lamda)dx

3. The Attempt at a Solution

dE = kλ ∫ [x(x')+y(y')+z(z')- x(x')] dx / [(y^2) +(z^2)]^(3/2) (integral from -∞ to +∞)

I end up getting 0 because -∞ + ∞ equals 0?
 
Last edited:

Answers and Replies

tiny-tim
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Welcome to PF!

Hi Sam99! Welcome to PF! :smile:

(try using the X2 button just above the Reply box :wink:)
dE = kλ ∫ [x(x')+y(y')+z(z')- x(x')] dx / [(y2) +(z2)]3/2 (integral from -∞ to +∞)
shouldn't there be an x2 on the bottom also? :redface:
 
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Thanks!
I don't think so because I'm using (x-x')/ |x-x'|^3.
would that be right?
 
tiny-tim
Science Advisor
Homework Helper
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yes, but there's still a difference in x, which has to go on the bottom
 

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