1982E1 (modified) Three point charges are arranged on the y -axis as shown above. The charges are +q at `(0,a),−q` at `(0,0)`, and +q at `(0,−a)`. Any other charge or material is infinitely far away.
a. Determine the point(s) on the x -axis where the electric potential due to this system of charges is zero.
b. Determine the x and y components of the electric field at a point P on the x -axis at a distance x from the origin.