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(i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical shell B of radius 2.00 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next, the two objects are joined by a long, thin, metallic wire (as shown in Fig. 25.19), and finally the wire is removed. How is the charge shared between A and B? (a) 0 on A. 450 nC on B (b) 90.0 nC on A and 360 nC on B, with equal surface charge densities (c) 150 nC on A and 300 nC on B (d) 225 nC on A and 225 nC on B (e) 450 nC on A and 0 on B (ii) A metallic sphere A of radius 1 cm with charge 450 nC hangs on an insulating thread inside an uncharged thin metallic spherical shell B of radius 2 cm. Next, A is made temporarily to touch the inner surface of B. How is the charge then shared between them? Choose from the same possibilities. Arnold Arons, the only physics teacher yet to have his picture on the cover ol Time magazine, suggested the idea for this question.
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Chapter 25 Solutions
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- Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant from the other two so that the center-to-center distance between the middle sphere and either of the other two is 0.125 m. Initially, only the middle sphere is charged, with qmiddle = +35.6 nC. The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and then used to connect the middle sphere to the sphere on the right. The wire is again removed. a. C What is the charge on each sphere? b. C Which sphere experiences the greatest electrostatic force? c. N What is the magnitude of that force?arrow_forwardA long copper cylindrical shell of inner radius 2 cm and outer radius 3 cm surrounds concentrically a charged long aluminum rod of radius 1 cm with a charge density of 4 pC/m. All charges on the aluminum rod reside at its surface. The inner surface of the copper shell has exactly charge to that of the aluminum rod while the outer surface of the copper shell has the same charge as the aluminum rod. Find the magnitude and direction of the electric field at points that are at the following distances from the center of the aluminum rod: (a) 0.5 cm, (b) 1.5 cm, (c) 2.5 cm, (d) 3.5 cm, and (e) 7 cm.arrow_forwardTwo solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forward
- 3 1 00 H X). Shown in the figure are two arcs of charge centered at the origin. The inner arc has a radius of curvature of 0.2 meters and a linear charge density of -50 C/m. The outer arc has a radius of curvature of 0.6 meters and a linear charge density of 80 μC/m. With theta given as 30 degrees, calculate the work it would take to bring a 60 μC point charge from infinity to the origin. Enter your answer in units of joules rounding your final answer to two decimal places. If the work is negative, a negative value must be entered. OLDE OAarrow_forwardIn deep space two spheres each of radius 5.00 m are connected by a 3.00 × 102 m nonconducting cord. If a uniformly distributed charge of 35.0 μC resides on the surface of each sphere, calculate the tension in the cord.arrow_forwardIf two identical conducting spheres are in contact, any excess charge will be evenly distributed between the two. Three identical metal spheres are labeled A, B, and C. Initially, A has charge q, B has charge −q/2, and C is uncharged. What is the final charge on each sphere if C is touched to B, removed, andthen touched to A?arrow_forward
- Two charged spheres (of negligible radii) are separated by 3m. One has a charge of +2q and the other has a charge of +5q. At what point between them (from the +2q) would a test charge feel no acceleration? (m)arrow_forward1) You have a thin straight wire of charge and a solid sphere of charge. The amount of charge on each object is 8 mC and it is uniformly spread over each object. The length of the wire and the diameter of the sphere are both 13 cm. (a) Find the amount of charge on 3.5 cm of the wire. (b) For the sphere, how much charge is located. within a radius of 3.5 cm from its center? 13 cm Iarrow_forwardThree distribution of charges are present in free space with: iC/m lies along z-axis. 5 Cm A uniform line charge of pL = 3 A concentric circular cylinder of radius 2 m has es A concentric circular cylinder of radius 4arrow_forward(a) A small Styrofoam bead with a charge of -60.0 nc is at the center of an insulating plastic spherical shell with an inner radius of 20.0 cm and an outer radius of 34.0 cm. The plastic material of the spherical shell is charged, with a uniform volume charge density of -1.50 pC/m³. A proton moves in a circular orbit just outside the spherical shell. What is the speed of the proton (in m/s)? m/s (b) What If? Suppose the spherical shell carries a positive charge density instead. What is the maximum value the charge density (in µC/m³) the spherical shell can have below which a proton can orbit the spherical shell? µC/m3arrow_forward(a) A small amber bead with a mass of 14.4 g and a charge of -0.746 µC is suspended equilibrium above the center of a large, horizontal sheet of glass that has a uniform charge density on its surface. Find the charge per unit area on the glass sheet (In pc/m²), µC/m² (b) What If? What are the magnitude and direction of the acceleration of the piece of amber if Its charge is doubled? (Enter the magnitude in m/s².) magnitude m/s² direction Need Help? ---Solect--- Road It Oarrow_forward15m 1m d P 1m Pv1 Pu2 Located in free space R 1m radius andR= 1.5m Two spherical charges of radius appear as. The volumetric charge densities in both spheres are the same. Pv1 = Pv2 = 3µC/m"kind. The distance between the two spheres from outside to outside d = 0.5mis. From the center of the great sphere R = 1m on the radius circle P Find the magnitude and direction of the electric field at the point. Load Choose a Filearrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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