Three charges are placed as shown in Fig. P21.95. The magnitude of q1 is 2.00 µC, but it...

Three charges are placed as shown in Fig. P21.95. The magnitude of q₁ is 2.00 µC, but its sign and the value of the charge q₂ are not known. Charge q₃ is +4.00 µC, and the net force on q₃ is entirely in the negative x-direction. (a) Considering the different possible signs of q₁, there are four possible force diagrams representing the forces that q₁ and q₂ exert on q₃. Sketch these four possible force configurations. (b) Using the sketches from part (a) and the direction of deduce the signs of the charges q₁ and q₂. (c) Calculate the magnitude of q₂. (d) Determine F, the magnitude of the net force on q₃.