In the configuration below, charge q1q1 and q3q3 both have a value of 654 CC and are separated by a distance of rrr = 8.50 cmcm . By placing a charge, q2q2, directly in between the positive charges, it is possible that the entire system will remain in equilibrium (at rest). In order for the 3 charges to be in equilibrium, the charge q2 will need to be:

In the configuration below, charge q1q1 and q3q3 both have a value of 654 CC and are separated by a distance of rrr = 8.50 cmcm . By placing a charge, q2q2, directly in between the positive charges, it is possible that the entire system will remain in equilibrium (at rest). In order for the 3 charges to be in equilibrium, the charge q2 will need to be:

Similar questions

A sphere of radius R is charged with total charge -2g distributed uniformly inside the sphere's volume (p = constant). In addition to the volume charge, there are also two point charges q inside the sphere, both on the x axis, at identical distances from the center, d (see figure). y -29 R q q 6 d d x What should be the value of d so that both point charges would be at equilibrium? Select one: O a. d= ○ b. d = R2R 23 О с. d = 2 ○ d. d = R Ꭱ ○ e. d = RRRL 4 Ꭱ
Multiple Choice.
Three charges on a ring Three particles of equal mass m are placed on a ring of radius R. Two of the particles have charge q and the third has a charge Q. (a) Find the equilibrium configuration of the charges for general q and Q. Be sure to consider both qQ> 0 and qQ <0. (You will find an equation that relates the angles between the particles and their charges. This equation can't be solved in general, however comment on special cases and check various limits.) (b) Solve the equation from part (a) for q = Q. For this case, consider small pertur- bations of the charges around their equilibrium positions. Find the frequencies and eigenmodes. Ignore friction.
A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C. What is the force on an electron located midway in the space between the shell and the solid sphere?
Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 6.20 µC, q2 = 1.43 µC, and q3 = −2.01 µC. Marble q1 is a distance r1 = 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. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble.N/C Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of 3.62 µC, calculate the magnitude and direction of the force on it.
Field and force with three charges At a particular moment, one negative and two positive charges are located as shown in the figure. Your answers to each part of this problem should be vectors. It helps a great deal to make a diagram with arrows representing the various electric field contributions, and then check the signs of your components against these arrows. Let Q1 = 3 µC, Q2 = 9 µC, and Q3 = -5 µC. y Q1 Q3 (a) Find the electric field at the location of Q1, due to Q2 and Q3. E 2 N/C (b) Use the electric field you calculated in part (a) to find the force on Q1. 2 N (c) Find the electric field at location A, due to all three charges. E 2 N/C (d) An alpha particle (He2+, containing two protons and two neutrons) is released from rest at location A. Use your answer from part (c) to determine the initial acceleration of the alpha particle. (Use 6.646 × 10¬27 kg for the mass of He2+.) a = m/s? 1 cm E----
The figure below shows four small beads, each with a positive charge, at the corners of a square. The length of each side of the square is a. The bead at top-right has a charge of q; the one at lower-left has a charge of 8.0q; the other two each have a charge of 6.0g. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 6.09 а 8.0g 6.0g a (a) What is the magnitude of the force on the bead with charge q? Express your answer in terms of k, q, and a in symbolic form. ka [12.485] F = a? What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the bead with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axis
Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagram below and electrically isolated from each other. A net charge of -3 nC is divided between the conductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell to the other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outer conductor has an inner radius of c=6 cm, an outer radius of d=8 cm. a (a) In equilibrium, all of the excess charge is found on the surfaces. Why is there no charge between a and b, nor between c and d? (b) Determine the net charge on each surface (ie how much charge is there at r = a, at r = b, at r = c and at r= = d). (c) Is the charge on the outer surface equal to the net charge on the outer container, the net charge of the system, or some other amount? Explain briefly. (d) Find the surface charge…
Problem 6: A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.4 μC. A second uncharged conducting sphere of radius r2 = 0.42 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. What is the total charge on sphere two, Q2 In coulombs
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
Three point charges are located in free space along the x-axis. A positive charge of +2 uC is located at x = 0, a negative charge of -3 μC is located at x = 3 m, and a positive charge of +4 μC is located at x = 6 m. a. Will q1 and q2 attract or repel? Blank 1 b. Will q1 and q3 attract or repel? Blank 2 c. What is the direction of the electrostatic force acting on q1 due to q2? (north, south, east, or west) Blank 3 d. What is the direction of the electrostatic force acting on q1 due to q3? (north, south, east or west) Blank 4 For the following questions, convert your answer into PROPER SCIENTIFIC NOTATION and round the coefficient to two decimal places.(e.g. 5.43 x 10²: 5.43 is the coefficient) What is the magnitude of the electrostatic force on q1 due to q2? Blank 5 x10^Blank 6 N What is the magnitude of the electrostatic force on q1 due to q3? Blank 7x10^Blank 8 N Calculate the net electric force on the positive charge at x = 0 due to the other two charges: Blank 9 x 10^Blank 10 N
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?