Two large, thin charged plastic plates each of area A are placed a short distance s apart (s is much smaller than the dimensions of a plate). The left-hand plate has a positive charge of +Q evenly distributed over its surface of area A (Q is a positive number). The right-hand plate has a negative charge of -2Q evenly distributed over its surface of area A. A very thin plastic spherical shell of radius r is placed midway between the plates (and shown in cross section). It has a uniformly distributed positive charge of +2Q. You can ignore the contributions to the electric field due to the polarization of the thin plastic shell and the thin plastic plates.

(a) Calculate the x- and y-components of the electric field at location 1, a horizontal distance r/2 to the right of the center of the sphere.

(b) Calculate the x- and y-components of the electric field at location 2, a horizontal distance 3r to the left of the center of the sphere.

(c) Calculate the x- and y-components of the electric field at location 3, a horizontal distance 3r to the left and a vertical distance 3r above the center of the sphere.