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. 91 + 92 + (a) At what position x is the third bead in equilibrium? x=0.87868 -0.879 m (b) Can the equilibrium be stable? OYes, if the third bead has a positive charge O Yes, if the third bead has a negative charge O No
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- The figure below shows three positively charged particles at three corners of a rectangle. The particle at upper left has a charge q1 = 4.00 nC, the one at the lower left has a charge of q2 = 5.00 nC,and the one at lower right has a charge q3 = 6.00 nC. The rectangle's horizontal side has length x = 5.00 cm and its vertical side has length y = 3.50 cm. Three positive charges lie at three of the corners of a rectangle of horizontal side length x and vertical side length y < x. An charge labeled q1 is at the upper left corner. A charge labeled q2 is at the lower left corner. A charge labeled q3 is at the lower right corner. (a)What is the electric potential (in V) at the upper-right corner of the rectangle? (Assume the zero of electric potential is at infinity.) ______V (b)What would be the potential (in V) at the upper-right corner if the charge q2 at lower left was−5.00 nC instead? _____VTwo small beads having positive charges 39 and 9 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? +39 @ | Fig. ·ď· +9Plastic beads can often carry a small charge and therefore can generate electric fields. Three beads are oriented such that q2 is between q, and 93. The sum of the charge on 91 and 9, is 91 + 9, = -8.8 µc, and the net charge of the system of all three beads is zero. -E field lines 93 What charge does each bead carry? |-17.6 91 = What is the net charge of the system? What charges have to be equal? µc 8.8 92 = What is the net charge of the system? What charges have to be equal? µc 93 = 8.8
- In a vacuum, two particles have charges of q1 and q2, where q1 = +3.86 μμC. They are separated by a distance of 0.260 m, and particle 1 experiences an attractive force of 3.34 N. What is the magnitude of q2?What is the force F, on the charge located at x = 8.000 cm in the figure given that q = 1.450 µC? The other two charges are located at 3.000 cm and 11.00 cm. Take the positive direction as pointing to the right. The Coulomb constant is 8.988 × 10⁹ Nm²/C². Fx = 0 +q 5.000 -29 10.00 +q x (cm) NIn a vacuum, two particles have charges of q1 and q2, where q1 = +3.66 μμC. They are separated by a distance of 0.281 m, and particle 1 experiences an attractive force of 3.45 N. What is the magnitude of q2?
- Three spiders are resting on the vertices of a triangular web. The sides of the triangular web have a length of a = 0.86 m, as depicted in the figure. Two of the spiders (S₁ and S3) have +9.0 μC charge, while the other (S₂) has -9.0 μC charge. a/2 O a/2 (a) What are the magnitude and direction of the net force on the third spider (S3)? magnitude N direction o counterclockwise from the +x-axis (b) Suppose the third spider (S3) moves to the origin. Would the net force on the third spider (S3) be greater than, less than, or equal to the magnitude found in part (a)? O greater than in part (a) O less than in part (a) O equal to the part (a) (c) What are the magnitude and direction of the net force on the third spider (S3) when it is resting at the origin? magnitude N direction o counterclockwise from the +x-axisTwo equal charges are situated on the x axis at 40.0 cm on either side of the origin as shown in the figure below. Location A is on the perpendicular bisector at a distance of 33.0 cm from the origin on the y axis. (Assume that the +x axis is directed to the right and the +y axis is directed up.) *A 92 (a) If q, = -4.00 µC and q, = -4.00 µc, what is the net electric fleld due to both charges at location A? Express your answer in vector form. Eret = 0 Did you consider the symmetry of the situation? What is the net contribution to the field from the x components of the field from each charge? N/C (b) If q, = 49, (where q, = -4.00 uC), what is the net electric field location A due to both charges? Express your answer in vector form. Enet = N/C Additional MaterlalsTwo 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?
- In a vacuum, two particles have charges of q1 and q2, where q1 = +4.7C. They are separated by a distance of 0.35 m, and particle 1 experiences an attractive force of 3.5 N. What is the value of q2, with its sign?Three point charges have equal magnitudes, two being positive and one negative. These charges are fixed to the corners of an equilateral triangle, as the drawing shows. The magnitude of each of the charges is 3.0 μC, and the lengths of the sides of the triangle are 1.0 cm. Calculate the magnitude of the net force that each charge experiences. B C (a) FA-i (b) FB= i 4.852e16 N 4.852e16 N (c) Fc= i 4.852e16 NTwo particles, with identical positive charges and a separation of 2.00 x 10-2 m, are released from rest. Immediately after the release, particle 1 has an acceleration a1 whose magnitude is 6.85 x 10° m/s2, while particle 2 has an acceleration a2 whose magnitude is 8.50 x 10° m/s?. Particle 1 has a mass of 7.87 x 10-6 kg. Find (a) the charge on each particle and (b) the mass of particle 2.