Walker, Halliday & Resnick — Electric Fields: Problem 24

24 Figure 22-35 shows a plastic ring of radius \(R = 43.0 \text{ cm}\). Two small charged beads are on the ring: Bead 1 of charge \(+2.00 \text{ }\mu\text{C}\) is fixed in place at the left side; bead 2 of charge \(+6.00 \text{ }\mu\text{C}\) 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 \(E = 2.00 \times 10^5 \text{ N/C}\)?