3. Consider the electric dipole that we studied in our lectures on the last pages of Module 1. It had a charge +q at $z = +d/2$ above the origin and a charge -q at $z = -d/2$ below the origin. We then solved for the electric field at a height z up along the axis of the dipole, i.e., along the z-axis.
a. State the electric field at a distance x to the right of the origin, i.e., along the x-axis, expressed in terms of the given variables and any physical constants. Draw the new system and be sure to solve for the magnitude and direction of the new electric field!
b. What does this expression for the electric field become for very large x values?