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## Homework Statement

Find the electric potential V and electric field E at the point P due to a line of linear charge density = λ

## Homework Equations

E = (2kλ)/z

## The Attempt at a Solution

Now I made these lines

If P is on the z axis, r' = x, but it's shifted, so r' = x-x', and r = z, so then | r - r' | = ((x-x')^2+z^2)^1/2

The dl' = λdx, and -L < x < L

So we use the equation V(r), where k and λ are constants, and integration is from -L to L

So V(z) = kλ ∫ dx / ((x-x')^2+z^2)^1/2 , from -L to L

Am I correct?

And as for the the E field, I think it's simply E = (2kλ)/z ?