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(9 points) The image below shows a quadrupole arrangement of 4 point charges located at A, B, C, and D, and the electric potential field they create. The value in each square box represents the electric potential in volts) at the center of the square. Each square is 1.00 meter x 1.00 meter (length x width). The four point charges are located at the center of boxes A, B, C, and D. (a) What is the sign of each of the 4 point charges, A, B, C, and D? Explain. (b) If an electron was placed at rest 4 meters directly to the right of charge D at the 0.35 V location, what direction would the electron begin to move? Explain. (c) A proton is initially 4 meters directly to the right of charge B at the 0.85 V location. The protons has an unknown initial speed at this location. The proton eventually comes to rest momentarily when it is 1 meter to the right of charge B at the 5.16 V location. What was the proton's initial speed at the 0.85 V location? Ignore gravity. (d) Clearly sketch, and label, the –5 volt equipotential line(s).

0.00 -0.03 -0.07 -0.12 -0.20 -0.29 -0.41 -0.55 -0.69 -0.80 -0.85 -0.80 -0.69 -0.55 -0.41 -0.29 -0.20 -0.12 -0.07 -0.03 0.00 0.03 0.00 -0.04 -0.11 -0.20 -0.32 -0.49 -0.70 -0.95 -1.19-1.29 -1.19 -0.95 -0.70 -0.49 -0.32 -0.20 -0.11 -0.04 0.00 0.03 0.07 0.04 0.00 -0.07 -0.18-0.33 -0.56 -0.88 -1.34 -1.91 -2.23 -1.91 -1.34 -0.88 -0.56 -0.33 -0.18 -0.07 0.00 0.04 0.07 0.12 0.11 0.07 0.00 -0.12 -0.30-0.58 -1.03 -1.83 -3.40 -5.16 -3.40 -1.83 -1.03 -0.58 -0.30 -0.12 0.00 0.07 0.11 0.12 0.20 0.20 0.18 0.12 0.00 -0.20 -0.51 -1.04 -2.06 -5.08 A -5.08 -2.06 -1.04 -0.51 -0.20 0.00 0.12 0.18 0.20 0.20 0.29 0.32 0.33 0.30 0.20 0.00 -0.32 -0.81 -1.65 -3.24 -5.01 -3.24 -1.65 -0.81 -0.32 0.00 0.20 0.30 0.33 0.32 0.29 0.41 0.49 0.56 0.58 0.51 0.32 0.00 -0.43 -0.98 -1.60 -1.94 -1.60 -0.98 -0.43 0.00 0.32 0.51 0.58 0.56 0.49 0.41 0.55 0.70 0.88 1.031.04 0.81 0.43 0.00 -0.41 -0.74 -0.88 -0.74 -0.41 0.00 0.430.81 1.041.03 0.88 0.70 0.55 0.69 0.95 1.34 1.83 2.06 1.650.98 0.41 0.00 -0.26 -0.35 -0.26 0.00 0.41 0.98 1.652.06 1.831.34 0.95 0.69 0.80 1.19 1.91 3.405.083.241.60 0.74 0.260.00 -0.08 0.00 0.26 0.74 1.60 3.24 5.08 3.40 1.91 1.19 0.80 0.85 1.292.235.16 D 5.01 1.94 0.88 0.35 0.08 0.00 0.08 0.35 0.88 1.94 5.01 B 15.16] 2.23] 1.29|0.85 0.80 1.19 1.91 3.405.08 3.24 1.60 0.74 0.260.00 -0.08 0.00 0.26 0.741.60 3.24 5.08 3.40 1.91 1.19 0.80 0.69 0.95 1.34 1.832.06 1.650.98 0.41 0.00 -0.26 -0.35 -0.26 0.00 0.41 0.98 1.652.06 1.831.34 0.95 0.69 0.55 0.70 0.88 1.03 1.04 0.81 0.43 0.00 -0.41 -0.74 -0.88 -0.74 -0.41 0.00 0.43 0.81 1.04 1.03 0.88 0.70 0.55 0.41 0.490.56 0.58 0.51 0.32 0.00 -0.43 -0.98 -1.60|-1.94 -1.60 -0.98 -0.43 0.00 0.32 0.51 0.58 0.56 0.490.41 0.29 0.32 0.33 0.30 0.20 0.00 -0.32 -0.81 -1.65 -3.24 -5.01 -3.24 -1.65 -0.81 -0.32 0.00 0.20 0.30 0.33 0.32 0.29 0.20 0.20 0.18 0.120.00 -0.20 -0.51 -1.04 -2.06 -5.08 C -5.08 -2.06-1.04 -0.51 -0.20 0.00 0.12 0.18 0.20 0.20 0.12 0.11 0.070.00 -0.12 -0.30-0.58 -1.03 -1.83)-3.40 -5.16 -3.40-1.83 -1.03 -0.58 -0.30 -0.12 0.00 0.07 0.11 0.12 0.07 0.04 0.00 -0.07 -0.18-0.33 -0.56 -0.88-1.34 -1.91 -2.23 -1.91 -1.34 -0.88 -0.56 -0.33 -0.18 -0.07 0.00 0.04 0.07 0.03 0.00 -0.04 -0.11 -0.20 -0.32 -0.491-0.701 -0.95 -1.19 -1.29 -1.19 -0.95 -0.701 -0.49 -0.32 -0.20 -0.11 -0.04 0.00 0.03 0.00 -0.03 -0.07 -0.12 -0.20 -0.29 -0.41 -0.55 -0.69 -0.80 -0.85 -0.80 -0.69 -0.55 -0.41 -0.29 -0.20 -0.12 -0.07 -0.03 0.00