Two small beads having positive charges 3q and q are fixed at the opposite ends of a horizontal, insulating rod, extending from the origin to the point x = d. As shown in figure, a third small charged bead is free to slide on the rod. At what position is the third bead in equilibrium? Can it be in stable equilibrium? + 3g + 9
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- 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 ᎡIn 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 nCTwo small beads having positive charges q, = 4q and q, = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q, is at the origin. As shown in %3D the figure below, a third small, charged bead is free to slide on the rod. 91 92 (a) At what position x is the third bead in equilibrium? X = (b) Can the equilibrium be stable? Yes, if the third bead has a positive charge. Yes, if the third bead has a negative charge. No
- The gecko is sticking upside down to a smooth ceiling. The remarkable adhesion might be due to static electricity. Gecko feet are covered with microscopic hairs. When these hairs rub against a surface, charges separate, with the hair developing a positive charge and negative charge forming below the surface. There is an attractive force between the separated charges. This is an effective means of adhering to a surface, but it comes at a cost: Two planes of charge are like two charged plates of a capacitor, which takes energy to charge. Doubling the amount of charge on each surface increases the attractive force, but also increases the energy required to separate the charge. Part A By what factor does this energy increase? (UElec){ (UElec); ΕΧΕΙ ΑΣΦ Submit Request Answer Provide Feedback ?The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q₁ = -3 -3.1 μC. The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge 92 on the hanging sphere. nC 20.0 cm 18⁰ 91 92 ✈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
- Two small beads having positive charges q1 = 29q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 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. (a) At what position x is the third bead in equilibrium?x = m(b) Can the equilibrium be stable?Three charged metal disks are arranged as shown (cutaway view). The disks are held apart by insulating supports not shown in the diagram. Each disk has an area of 2.2 m² (this is the area of one flat surface of the disk). Use the value 8.8 12 C2/(N•m²) for €o.The charge Q1 = 4e-8 coulombs, and the charge Q2 = 2e-7 coulombs. 0.02 0.02 0.02 mm 1.7 mm ----- mm 4 mm mm F-- -+--| + A +. + В G + + + + +Qi -Q1 -Q2 +Q2 Disk 1 Disk 2 Disk 3 What is the magnitude of the electric field in the region between disks 1 and 2? = 1.07e-8 X V/m What is the direction of the electric field between disks 1 and 2? +x Which of the following statements are true? Choose all that apply. 3 mmTwo charged spheres on a frictionless horizontal surface are attached to opposite ends of a string & are in static equilibrium. The 39 kg red sphere has more charge than the 22 kg green sphere. The total charge magnitude on the spheres is 120 ?C & they have the same polarity. As a result the tension is 202.5 N & the centers of the spheres are 0.39 m apart. Find the charge magnitude on each sphere. Qred (bigger charge) = Qgreen (smaller charge) =