N Three charged spheres are at rest in a plane as shown in Figure P23.70. Spheres A and B are fixed, but sphere C is attached to the ceiling by a lightweight thread. The tension in the string is 0.240 N. Spheres A and B have charges q= 28.0 nC and q =-28.0 nC. What charge is carried by sphere C? %3D %3D 30°i 0.460 m CH 0.230 m
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- Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to S = 32.7 cm. Each balloon has equal mass of m= 1.84 g and carries equal charge. You can model each balloon as a particle, with its center L = 49.5 cm from the point of support. What is the charge (in µC) on one balloon? 0.395 (i)Q on picThree spiders are resting on the vertices of a triangular web. The sides of the triangular web have a length of a = 0.49 m, as depicted in the figure. Two of the spiders (S1 and S3) have +4.5 µC charge, while the other (S2) has -4.5 µC charge. a/2 S3 a/2 S2 (a) What are the magnitude and direction of the net force on the third spider (S3)? magnitude direction ° 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)? greater than in part (a) less than in part (a) 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 direction ° counterclockwise from the +x-axis
- 14. 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 P15.14, a third small charged bead is free to slide on the rod. At what position is the third bead in equilib- rium? Can it be in stable equilibrium?Two small beads having positive charges q1 2q and 92 = 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 the figure below, a third small, charged bead is free to slide on the rod. 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. NoTwo small spheres, each with mass m = 12.0 g and charge q, are suspended from a point by threads %3D of length L = 0.30 m. What is the charge on each sphere if the string makes an angle of 15 degrees with the vertical when it's in electrostatic equilibrium? 145 nC 895 nC 99.5 nC 400 nC degrees
- 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-axisIdentical thin rods of length 2a carry equal charges +Q uniformly distributed along their lengths. The rods lie along the x axis with their centers separated by a dis- tance b > 2a (Fig. P23.50). Show that the magnitude of the force exerted by the left rod on the right one is 62 F = In 62 – 4a? 4a2 y b - a b+a -a Figure P23.50Plastic beads can often carry a small charge and therefore can generate electric fields. Three beads are oriented such that 92 is between 9₁ and 93. The sum of the charge on 9₁ and 92 is 91 +92 = -8.3 μC, and the net charge of the system of all three beads is zero. E field lines What charge does each bead carry? μC 91 = 92 = 93 = 000 μC μC
- Two 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 nCA conducting massive sphere of radius a is surrounded by a thin conducting spherical shell of radius b as shown in the figure. The sphere (a) is grounded and the outer shell is charged with electric charge Q b a Find the electrostatic energy stored in the system (in SI units). Select one: Q² a. U ○ b. U = ○ C. U = ○ d. U = ○ e. U = ○ f. 8πEO U = Q2 8πε Q2 8πεο Q² όπερα Q² σπερ b- a ab b a +a a3 a Q² b-a 8πTEO b2 ×The figure below shows three small, positively charged beads at three corners of a rectangle. The particle at upper left has a charge q1 = 3.00 nC, the one at the lower left has a charge of q2 = 6.00 nC, and the one at lower right has a charge q3 = 4.00 nC. The rectangle's horizontal side has length x = 7.00 cm and its vertical side has length y = 2.00 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 −6.00 nC instead? V