Concept explainers
(i)
The charge shared between the spheres
(i)
Answer to Problem 3OQ
Option (c)
Explanation of Solution
The sum of charge on point
Write the expression for potential on the sphere
Here,
Write the expression for potential on the sphere
Here,
The potential difference at point
Substitute
Conclusion:
Substitute
Substitute
Substitute
The charge at point
Therefore, option (c)
(ii)
The charge shared between the spheres.
(ii)
Answer to Problem 3OQ
The charge shared between the spheres is
Explanation of Solution
Write the expression for potential on the metal sphere
The initial potential on the metal sphere
Write the expression for common potential.
Here,
Substitute
Write the expression for charge on sphere
Substitute
Write the expression for net charge at point
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the charge shared between the spheres is
Want to see more full solutions like this?
Chapter 25 Solutions
Physics for Scientists and Engineers With Modern Physics
- (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.arrow_forwardThree 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_forward
- How many coulombs of positive charge are there in 4.00 kg of plutonium given its atomic mass is 244 and that each plutonium atom has 94 protons?arrow_forwardTwo 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_forward3 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_forward
- If 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_forwardIn deep space, two spheres each of radius 5.00 m are connected by a 3.00 x 102 m nonconducting cord. If a uniformly distributed charge of 35.0 mC resides on the surface of each sphere, calculate the tension in the cord.arrow_forwardThe two spherical shell has a charge of q1=0.30nC and q2 = 0.5nC. The radius of r1=7.5cm and r2 = 2.5cm. What is the new votage value in volts, after the charge transfer is completed between the two spheres?arrow_forward
- Three 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_forwardAs a honeybee flies, the passing air strips electrons from its hairs, giving the bee a net positive charge. Since flowers are negatively charged, pollen then jumps onto a bee even if the bee does not physically touch the pollen particles. (a) Estimate the diameter of the central disk of a daisy. (b) If a bee has had 75,000 electrons stripped by the air, what is its net charge? (c) If this bee lands at the edge of the daisy’s central disk, determine its electric field at the far edge of the disk. Treat the bee as a thin-walled hollow sphere with its net charge distributed uniformly over its surface. (d) A pollen particle requires a force of 10 pN to dislodge from a stamen. Estimate the net charge on a pollen particle at the far end of the disk required for the particle to dislodge and jump to the bee.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 8 nC of charge, B has -4 nC of charge, and C is uncharged. What is the final charge on sphere A if C is touched to B, removed, and then C is touched to A? Note: Your answer is assumed to be reduced to the highest power possible.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning