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Problem 2 Positive charge Q is uniformly distributed around a semicircle of radius a as shown in Fig. 2 Find the magnitude and direction of the resulting electric eld at point P: the center of curvature of the semicircle. Follow the instructions: 0 Divide the semicircle into innitesimal segments, each of which is a short circular arc of radius a and angle d6. What is the length of such a segment? How much charge is on a segment? 0 Consider an innitesimal segment located at an angular position 6 on the semicircle, measured from the lower right corner of the semicircle at :3 = a, y = 0. (Thus 6 = 31' / 2 at :3 = 0: y = a and 6 = 7r at :3 = a, y = 0.) What are the :3 and ycomponcnts of the electric eld at P (32EI and (1193;) produced by just this segment? 0 Integrate your expressions for OLEer and (53), from 6 = U to 6 = 7r. The results will be the .3component and ycomponent of the electric eld at P