(c) Calculate the electric field, E, at the origin for the three scenarios given. The magnitude 4760 of all charges is 3 C and the charges form squares with each side 1-m long. k = 8.99 x 10°Nm²/C². =

6 In Fig. 22-27, two identical circu- lar nonconducting rings are centered on the same line with their planes perpendicular to the line. Each ring has charge that is uniformly distrib- uted along its circumference. The rings each produce electric fields at points along the line. For three situations, the charges on rings A and B are, respectively, (1) qo and 9o, (2) -90 and -90, and (3) - and qo. Rank the situations according to the magnitude of the net electric field at (a) point P1 midway between the rings, (b) point P, at the center of ring B, and (c) point P3 to the right of ring B. greatest first. P, P3 Ring A Ring B Figure 22-27 Question 6.

60 O In Fig. 21-43, six charged particles surround particle 7 at ra dial distances of either d = 1.0 cm or 2d, as drawn. The charges are q1 = +2e,92 = +4e, q3 = +e,q4= +4e,q5 = +2e,q6 = +8e,q7 = +6e with e = 1.60 x 10-19C. What is the magnitude of the net electro static force on particle 7? Figure 21-43 Problem 60. 4.

Ch 18, Problem 45 Two charges are located on the x axis: q1 = +6.1C at x1 = +5.1 cm, and q2 = +6.1C at x2 = -5.1 cm. Two other charges are located on the y axis: q3 = +2.3C at y3 = +4.4 cm, and q4 = -5.8C at y4 = +6.3 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin.

+20 +0 +20 Four point charges of varying magnitude and sign are arranged on the corners of the square of side d as shown in Fig. 21-6. Which of the arrows shown represents the net electric field acting on the point charge with a charge +Q? O D O A O none of the given choices O C O B

(II) Determine the electric field É at the origin 0 in Fig. 16–58 due to the two charges at A and B. y |+26 µC A 8.0 cm -26 µC B 8.0 cm FIGURE 16-58 8.0 cm Problem 33.

*39 SSM In Fig. 23-49, a small, nonconducting ball of mass m = 1.0 mg and charge q = 2.0 x 10-8C (distributed uniformly through its vol- ume) hangs from an insulating thread that makes an angle 0 = 30° with a vertical, uniformly charged nonconducting sheet (shown in cross sec- tion). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density o of the sheet. m.

3 1 00 H X). Shown in the figure are two arcs of charge centered at the origin. The inner arc has a radius of curvature of 0.2 meters and a linear charge density of -50 C/m. The outer arc has a radius of curvature of 0.6 meters and a linear charge density of 80 μC/m. With theta given as 30 degrees, calculate the work it would take to bring a 60 μC point charge from infinity to the origin. Enter your answer in units of joules rounding your final answer to two decimal places. If the work is negative, a negative value must be entered. OLDE OA