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Homework Statement
This is problem 47(chapter 21) in the textbook - Physics for engineers and scientists (Giancoli)
Uniformly charged wire has length L, where point 0 is the mid point. Show that the field at P, perpendicular distance x from 0 is
E= (lambda/2*pi*epsilon_0) *(L/x*sqrt(L^2+4x^2)
Homework Equations
The Attempt at a Solution
I tried solving it, I got E = - (lambda/2pi*epsilon_0)*[1/sqrt(L^2+4x^2)-1/2x)
Is something wrong with my integration?
My attempt is correct until
E= lamda/r^2*4pi*epsilon_0 * integration (cos theta)dl
After this, I use cos theta = x/r (r is the hypotenuse = sqrt (L^2+4x^2))
I am trying to do this instead of taking r=x cos theta.