Suppose a uniformly charged (with a linear charge density z) wire starts at point 0 and rises vertically along the positive y axis to a length z.
1) Decide the x-component of the electric field Ex at point (x,0). That is, calculate E near one end of a long wire, in the plane perpendicular to the wire.
Express your answer in terms of the variables l, z, x, and appropriate constants.
2) Decide the y-components of the electric field Ey at point (x,0). Suppose x>0.
Express your answer in terms of the variables l, z, x, and appropriate constants.
3) If the wire extends from y=0 to y= infinity, therefore that l=infinity, show that E makes a 45? Angle to the horizontal for any x.