Problem 2 [20 points] Two quarter circles of radius R with uniform charge densities :I:)\\ are on the xy plane, as shown below. 2'} (a) [ 5 points ] Consider the electric eld at the origin of the coordinate system. Without per- forming calculations, explain whether each of the components E33, E, is positive, negative, or zero. (b) [ 10 points ] Calculate the component Em of the electric eld at the origin. Remember to use any insight from the previous part to simplify your calculation. (c) [ 5 points ] The field that two point charges, +Q and -Q, placed at x = -R and x = + R, respectively, would generate at the origin, has magnitude E = ATE( R2 . 1 20. Does the magnitude of your answer compare to this field in the way you would expect? If you didn't find an answer to the previous part, explain how these fields should compare. If your answer for part b) does not have the expected behavior, you can also gain full credit for this part by explaining why that is