Two charges q = 3.0? C are fixed in space a distance d = 5.0 cm apart, as shown

Question

Two charges q = 3.0? C are fixed in space a distance d = 5.0 cm apart, as shown in the figure. With V = 0 at infinity

1) what is the electric potential at point C?

2) You bring a third charge q = 3.0?C from infinity to C. How much work must you do?

3) What is the potential energy U of the three-charge configuration when the third charge is in place?

I figured out part one and found that it was 1.53E6 V. If you could help with part 2 and 3 that would be great.

Two charges q = 3.0? C are fixed in space a distance d = 5.0 cm apart, as shown in the figure. With V = 0 at infinity what is the electric potential at point C? You bring a third charge q = 3.0?C from infinity to C. How much work must you do? What is the potential energy U of the three-charge configuration when the third charge is in place? I figured out part one and found that it was 1.53E6 V. If you could help with part 2 and 3 that would be great.

Explanation / Answer

2) W = q dV = 3.0E-6*1.53E6=4.59 J

3) PE = PE initial + W = k q^2/d + W = 9E9*3.0E-6^2/(5.0E-2)+4.59=6.21 J

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