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