1982E1. 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.
c. Using Gauss's law, determine the net electric flux through a spherical surface of radius r=2 a centered at the origin.