In the figure below, each charged particle is located at one of the four vertices of a square with side

length = a.

In the figure,

A = 3,

B = 5,

and

C = 8,

and

q > 0.

Four positive charges are organized in a square configuration, with one charge at each vertex of the square. Each side of the square is labeled a. The upper left corner has charge Aq, the upper right corner has charge q, the lower right corner has charge Cq, and the lower left corner has charge Bq.

(a)

What is the expression for the magnitude of the electric field in the upper right corner of the square (at the location of q)? (Use the following as necessary: q, a, and k_e.)

E =

(b)

Determine the expression for the total electric force exerted on the charge q. (Enter the magnitude. Use the following as necessary: q, a, and k_e.)

F =