A point charge q 1 = -3.5 ?C is located at the origin of a co-ordinate system. A

Question

A point charge q1 = -3.5 ?C is located at the origin of a co-ordinate system. Another point charge q2 = 5.2 ?C is located along the x-axis at a distance x2 = 9.4 cm from q1.

1)

What is F12,x, the value of the x-component of the force that q1 exerts on q2? (answer: -18.5)

Charge q2 is now displaced a distance y2 = 2.8 cm in the positive y-direction. What is the new value for the x-component of the force that q1 exerts on q2? (answer: -16.3184589367391.)

A third point charge q3 is now positioned halfway between q1 and q2. The net force on q2 now has a magnitude of F2,net= 5.676 N and points away from q1 and q3. What is the value (sign and magnitude) of the charge q3

I keep on getting 0.767 uC but it's wrong

Explanation / Answer

Force due to 1 on 2 = -18.5 N

Now, net force= 5.676N

So, force acting on 2 due to 3 = 5.676+18.5N = 24.176N

Distance from 2 to 3,r = (9.22+2.82)0.5/2=4.808cm

So, q2=F23 X r2/9X109 Xq3
   = 24.176 X (4.808 X 10-2)2/5.2 X10-6 X9 X109
= 1.194 micro Culomb

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