Three positive charges are located in the x-y plane (see plot below), with Q1=2.

Question

                    Three positive charges are located in the x-y plane (see plot below), with Q1=2.10 microcoulombs, Q2= 3.20 microcoulombs, and Q3= 4.30 microcoulombs. Note that                     the charges are located at grid intersections, and that the x and y coordinates are in cm.
                

                    The points are locate on the x-y plane as follows:                 

                    Q1= (-1,3)                 

                    Q2= (1,0)                 

                    Q3= (3,-2)                 

                    I have already calculated the magnitude of the electric force on Q2 due to Q1: 4.65E1 N                 

                    I would appreciate it if you gave a precise procedure in determining the following question:                 

                    Calculate the x-component of the force on Q2 due to Q3.                 

Explanation / Answer

theta = tan^-1(2/2) = 45 degrees
r = sqrt(2^2*2^2) = 2.82cm = 0.0282m
F = k*Q1*Q2/r^2 = 1.56*10^5 N

Fx = F*cos(45) = 1.1*10^5 N( towards -x axis)

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