a +6 HC O -at 15 HC Two point charges are fixed on the y-axis at the locations shown in the figure above. A charge of +6.00 uC is located at y = ta and a charge of +15.0 uC is located at y = -a where a = 1.00m. a. Determine the direction and magnitude of the electric field at the origin. (2 point) b. Determine a point between +6.00 uC and +15.0 uC along the y - axis for which the electric field is zero (3 points) c. Can the electric potential be zero between +6.00 uC and +15.0 uC along the y-axis? (2 points) a. Yes b. No Justify your answer. A third charge + 3.00 uC is now placed at the origin. d. Determine the direction and magnitude of the net force on + 3.00 uC. (2 points) e. Find the work done to bring the + 3.00 uC charge from infinity to the origin. (2 points) f. What is the significance of this work done in part (e)? (1 point)