Find the electric field a distance z above one end of a straight line segment of length L, which carries a uniform line charge λ. Check that your formula is consistent with what you would expect for the case z>>L
The Attempt at a Solution
I first considered the x component of the field and integrated
Kλx*dx/(x2+z2)3/2 from 0 to L
I then considered the y component of the field and integrated
Finally I used pythagorean theorem on both these terms to find the total field.
The problem became pretty cumbersome (which is why I didn't follow all the calculations through in this post). Is my method correct, or am I way off here?