8.00 nC 2.00 nC d → 2.00 m-
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A metal sphere with charge +8.00 nC is attached to the left hand end of a nonconducting rod of length L=2.00 m. A second sphere with charge +2.00 nC is fixed
to the right hand end of the rod as shown in Figure 1. At what position d along the
rod can a charged bead be placed for the bead to be in equilibrium?
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- A -3 -2 -1 y (m) 2 1 B 1 2 x (m) Two point charges, A = -3 Q and B = 7 Q, are located at the positions shown in the figure above. a) What is the force on a charge q at the origin? i+ jkQq N b) Where would you replace q such that the net force on q is zero? (x, y) = (Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are 9₁ = 5.55 μC, 92 = 1.26 μC, and 93 = -2.23 μC. Marble q₁ is a distance ₁ = 3.00 cm to the left of the marble 92, while marble q3 is a distance r3 = 2.00 cm to the right of the marble 92, as shown. Calculate the magnitude of the electric field a distance r = 1.00 cm to the left of the center marble. N/C 91 Additional Materials eBook ---Select--- ✓ 11 observation point 9₂ 13 ➤ Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of 3.66 μC, calculate magnitude and direction of the force on it. magnitude N direction 93 -7₂ = 0mThe figure below shows three small, charged beads, all lying along the horizontal axis. Bead A, at left, has a 6.90 nC charge. Bead B has a 1.70 nC charge and is 3.00 cm to the right of A. Bead C has a -2.80 nC charge and is 2.00 cm to the right of B. Find the magnitude (in N) and direction of the net electric force on each of the beads. Net Force on A magnitude direction Net Force on magnitude direction 3.00 cm -Select- -Select- B toward the left Net Force on C magnitude direction toward the right -Select- -Select- N v N v 98 9c 2.00 cm-
- 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 = 1.01 µC, and q3 = −2.14 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, as shown. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble. What is the electric field due to each individual marble? How do you find the total or "net" electric field when you have several electric fields? 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 magnitude and direction of the force on it.Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 5.28 nC at the origin. (Let r12 = 0.240 m.) Three point charges lie along the axes in the x y-coordinate plane. Positive charge q is at the origin. A charge of 6.00 nC is at (r1 2, 0), where r1 2 > 0. A charge of −3.00 nC is at (0, −0.100 m). magnitude N direction ° counterclockwise from the +x-axisTwo small metallic spheres, each of mass m = 0.30 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 0 = 8.2° with the vertical. If each string has length L = 40.0 cm, what is the magnitude of the charge on each sphere? L m nC
- Two small beads having positive charges q1 = 6q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 3.75 m. The bead with charge q1 is at the origin. As shown in the figure below, a third small charged bead is free to slide on the rod. At what position x is the third bead in equilibrium?A small sphere of mass m = 6.60 g and charge q1 = 31.0 nC is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge q2 = −58.0 nC is located below the first charge a distance d = 2.00 cm below the first charge as in the figure. A rope hangs vertically down from a ceiling with positive charge q1 at its end. Negative charge q2 is a distance d directly below q1. (a) Find the tension in the string. Your response differs from the correct answer by more than 10%. Double check your calculations. N(b) If the string can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the string breaks? cm= Two small beads having positive charges 9₁ 92 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 4.20 m. The bead with charge q₁ is at the origin. As shown in the figure below, a third small charged bead is free to slide on the rod. At what position x is the third bead in equilibrium? 91 + 92 + X = m 7q and
- Measuring the Charge. You and your team are designing an experiment where two spherical insulating beads of diameter 0.45 cm and mass 0.15 g are strung together on a fine thread that passes through microscopic holes drilled through their centers. When hung vertically, the lower bead rests on a knot at the bottom of the thread and the upper bead rests upon the lower bead. When placed inside a vacuum chamber and exposed to X-rays (highly energetic electromagnetic radiation), the beads acquire equal, uniform distributions of positive charge on their surfaces due to the loss of electrons ejected when struck by the X-rays. During this experiment, the beads are hung vertically, and a gap forms between them as if the top bead were levitating above the lower one, presumably due to the repulsive electrostatic force between them. The gap, that is, the vertical separation between the top of the lower bead and the bottom of the upper bead, is 0.27 cm. (a) How much excess charge is on each bead?…In the figure two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that is so small that tan 0 can be replaced by its approximate equal, sin 8. If L = 140 cm, m = 10 g, and x = 6.0 cm, what is the magnitude of q? L ᏀᎾ Ꮎ Number i L 9 0.0000009165 Units nCThree charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q₁ = 6.70 µC, 92 = 1.01 µC, and q3 = -2.27 μC. Marble q₁ is a distance r₁ = 3.00 cm to the left of the marble 92, 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 distance r' = 1.00 cm to the left of the center marble. N/C y K t * 91 92 observation point ---Select--- V 93 Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of -3.71 µC, calculate magnitude and direction of the force on it. magnitude direction N 7₂=0m