(Solved): Consider three charges placed at three corners of a square as shown in the figure below (see figure ...

Consider three charges placed at three corners of a square as shown in the figure below (see figure (2).

and

are two identical

charges placed at the top-left and bottom-right corners of the square respectively. The length of each side of the square is

. The charge

is placed at the top-right corner. Assume that

. [10 points] (a) What is the force exerted by the charge

on

? (Mention both the magnitude and the direction.) [2 points] (b) What is the force exerted by the charge

on

? (Mention both the magnitude and the direction.) [2 points] (c) What is the distance between

and the point X? [1 points] (d) What charge could you place at the bottom-left corner (marked

) in the figure so that the unknown charge

would be in a state of equilibrium? [5 points]