Two conducting spheres are concentrically nested as shown in the cross- sectional diagram below. The inner sphere has a radius of 3 cm and a net charge of +12 µC. The outer spherical shell has an inner radius of 6 cm, an outer radius of 8 cm, and a net charge of -6 µC. Determine :* + 10 +16 µC +6 µC -12 μα O pC +18 μ 18 μC

A solution contains 5.62E11 Cl– ions and 1.35E11 Ca2+ ions. What is the total net charge in the solution (in Coulombs)?

Three point charges are fixed as shown in (Figure 1). Take q₁ = 20 μC, q2 = -30 μC, 93 = 40 μC, and d = 9.0 mm. The point charge of 3.6 μC is placed at the center of the triangle. Figure y Ke X 93 9₁ d ( d 1 of 1 92 > ▼ Part A What is the magnitude of the force exerted on the charge at the center of the triangle? Express your answer with the appropriate units. |F|net = Submit Part B I 0 = 346 μА O Value X Incorrect; Try Again; 5 attempts remaining N Previous Answers Request Answer What is the direction of the force exerted on the charge at the center of the triangle? Express your answer in degrees, measured counterclockwise from the positive x-axis. ?

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q = 6.30 µC, 92 = 1.93 pC, and 93 = -2.20 pC. Marble q, is a distance r = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distancer = 1.00 cm to the left of the center marble. N/C observation point Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of -3.60 pC, calculate magnitude and direction of the force on it. magnitude direction -Select v

In the diagram below, A, B, and C are conducting spheres that are fixed in place and can be considered to be point charges. The spheres are fixed in place and each have a mass of 3.0 grams. Sphere A has a charge of +12µC, Sphere B has a charge of –9.0µC, and Sphere C has a charge of –6.0µC. Spheres A and B are separated by a distance of 0.020 m and Spheres B and C are separated by a distance of 0.010 m. 0.020 m 0.010 m A B C +12 μC -9 μC -6 μC What is the magnitude of the net force (in Newtons) acting on Sphere B? Write your answer as a number only. Do not include units in your answer.

Problem 4: Charge Q1 = 2.8 µC is located at r = (3.4i – 2.0j + 4.5k) m. A second charge Q, = 3.9 µC is located at r, = (8.0i – 3.6j – 9.0k) m. Part (a) What is the magnitude of the force of the second charge on the first charge in newtons? Numeric :A numeric value is expected and not an expression. Part (b) The force of the second charge on the first charge can be written using unit vectors as follows: F= Fi+F,j+F,k What is the value of F, in newtons? Numeric :A numeric value is expected and not an expression. Part (c) What is the value of F, in newtons? Numeric :A numeric value is expected and not an expression. Fy- Part (d) What is the value of F, in newtons? Numeric :A numeric value is expected and not an expression.

A conducting sphere of radius r1 = 0.46 m has a total charge of Q = 2.9 μC. A second uncharged conducting sphere of radius r2 = 0.23 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. r1 = 0.46 mr2 = 0.23 mQ = 2.9 μC What is the total charge on sphere two, Q2 in coulombs?

= -8.3 1. A particle with charge 9₁ = +4.1 μC is located at (x=0,y=0). A second particle with charge 92 μC is located at (x=0,y=4.00 cm), and a third charge 93 = +4.8 µC is located at (x=3.00 cm,y=0). (a) In your notebook, draw a diagram of the three-charge system showing the location of the charges. (b) Calculate the potential energy of this three-charge system. -3 -8.91-10-³√ J PE =