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## Homework Statement

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

## Homework Equations

KQ/r

^{2}

## The Attempt at a Solution

I first considered the x component of the field and integrated

Kλx*dx/(x

^{2}+z

^{2})

^{3/2}from 0 to L

I then considered the y component of the field and integrated

Kλz*dx/(x

^{2}+z

^{2})

^{3/2}

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?