vt. A line of positive charge is formed into asemicircle of radius R as shown in the fig-ure to the right. The charge per unit lengthalong the semicircle is given by A, and isconstant. The total charge on the semicir-cle is Q.R(a) Determine the constant, A, in terms of the Coulomb constant k, total charge Q,and radius R.(b) What is the electric ficld, E (magnitude and direction), at the origin (the centerof curvature)?Note: Recall that the arclength subtended by an angle 0 in radians along a circle ofradius R is s = R0. Furthermore, you might find the following integral useful:"T/2cos 0 do = 2.T/2

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