A plastic ring has a radius R = 46.0 cm. Two small charged beads are on the ring. Bead 1 of charge +2.00 uC is fixed in place at the left side of the ring. Bead 2 of charge +5.80 uC can be moved along the ring. The two beads produce a net electric field of magnitude E at the center of the ring. At what (a) positive and (b) negative value of angle theta should bead 2 be positioned such that E = 2.00 x 10^5 N/C?