1. (a) Consider a line of charge of length 2a, having charge/length 2, as shown in Figure (a). Find, by direct integration, an expression for the electric field (magnitude and direction) at point P, in terms of 2, a, and constants. Show every step. (b) Now consider two line charges, perpendicular to each other, each of length 2a, as shown in Figure (b). Let a = 2.00 m, 21= + 6.00 x 10" C/m, and 22= -3.00 x 10 C/m. Find (numerically) the magnitude and direction of the total electric field E at point S. P S CI CI CI CT + +4+ + + + + ++ (a) ( b )