3. (40 points) Two spherical conducting electrodes (both with radii r = 5 cm) are charged to +1000 V and -1000 V, and are placed two meters away from one another (see the diagram below for a visualization). +1000V -1000V 2 m Figure 3: Diagram of the electrode configuration. a. (10 points) What is the magnitude and direction of the dipole moment associated with these two electrodes? b. (15 points) You place an electron 0.25 meters to the right of the rightmost electrode in the diagram- what is the electron's speed when it is 5 meters away from the rightmost electrode? Assume that the electron is initially at rest. c. (15 points) Now, instead of placing the electron near the electrodes we place a proton 5 meters to the left of the leftmost electrode (in line with the electrodes). If you were to fire this proton directly towards the leftmost electrode at the speed that you calculated in part b, how close would the proton get to the surface of the leftmost sphere? Contrast this distance calculated with the distances supplied in part b-does your answer make physical sense? Why or why not?