Halliday, Resnick & Walker — Electric Fields: Problem 59

59 Figure 22-50 shows three circular arcs centered on the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of $Q = 4.00 \mu \text{C}$. The radii are given in terms of $R = 5.00 \text{ cm}$. What are the (a) magnitude and (b) direction (relative to the positive $x$ direction) of the net electric field at the origin due to the arcs?