5. A thick, conducting, metal shell of inner radius R1 = 0.5m and outer radius R2 = 1.5m has a net charge of (-10C). Also, a (-3C) point charge is at the origin (center). Find the surface charge density on the inner surface of the shell. 6. Same setup as problem 5. Find the magnitude of the electric field at 4 meters from the center of the shell. 7. Same setup as problem 5. Find the magnitude of the electric field at 1.1 meters from the center of the shell.
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- 1. Consider the two concentric conducting spherical shells shown in the figure in shaded grey. The inner shell has inner radius a, outer radius b, and net charge Q. The outer shell has inner radius c, outer radius d, and a net charge of –Q. a. Determine the electric field in all regions of space (r d) as a function of r, the distance to the center of the shells. b. Make an accurate plot of E(r) from r = 0 to r> d. Make sure to indicate values on both the horizontal and vertical axes. c. How is the charge distributed on the surfaces of each spherical shell? I.e., what is the total charge on the inner surface of the first sphere (at r = a), at the outer surface of the first sphere (at r= b), on the inner surface of the second sphere (at r= c), and on the outer surface of the second sphere (at r= d)? d. A point charge Q is now placed at the center of the two spherical shells. How is charge now distributed on the four surfaces at r= a, r= b, r= c, and r= d?6. An infinite line is uniformly charged with a linear charge density A.Find a formula describing the electric field at a distance z from the line.1. A total charge +Q is distributed over a plastic line in square shape with sides are equal to 2a. The line is so thin that thickness is negligible. The square is positioned to the center. Find the electric field (E =?) at point P which is positioned away from the center (F, = xpi + yei .xp > avz, yp > avz and xp, yp are constant). y p=xpi+ Yp) 2a 0,0 2a
- 2. In free space, let D = 8xyz*ā, + 6x²z*ā, + 16x²yz°ā, pC/m². a. Find the total electric flux passing through the rectangular surface z = 2, 02. Consider an insulating spherical shell of inner radius a and outer radius b. a. If the shell has a net charge Q uniformly distributed over its volume, find the vector electric field in all regions of space (r b) as a function of r. b. Now assume that the shell has a non-uniform charge density given by r2 p(r) = Po ab What is the net charge of the shell? c. For the charge distribution in part (b), find the vector electric field in all regions of space (r b) as a function of r.1. A total charge +Q is distributed over a plastic line in square shape with sides are equal to 2a. The line is so thin that thickness is negligible. The square is positioned to the center. Find the electric field (E =?) at point P which is positioned away from the center (Tp = xpî + ypj ,Xp > av2, yp > av2 and xp, Yp are constant). d, ip = xpi + yPj 2a 0,0 2a6. a non-conducting rod of length L has a charge of -q which is uniformly distributed across its length. (a) What is the linear charge density of the rod? (b) What is the electric field at point P which is still in the straight line connecting the non-conducting material, the distance x from the end of the rod?A point charge of 40 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0 cm, outer radius = 2 cm) which has a net charge of -50 nC. Determine the resulting charge density on the outer surface of the conducting sphere. A. -7962 nC/m? B. 1990 nC/m2 C. 17914 nC/m2 D. -17914 nC/m2 E. -1990 nC/m24. A point charge q is placed inside a spherical conducting shell of inner radius a and outer radius b as shown below. A total charge of -4q is placed on the conducting shell. For all parts below, answer in terms of q, a, b, and fundamental constants. b a. What is an expression for the electric field for 098. A solid sphere with radius a = 2cm in encased in a spherical shell with inner radius a = 2cm and outer radius b = 4cm. (A cross section is shown on the right). The sphere has charge density Psphere = 1µC and the shell has charge density Pshell = 2µC. Let r measure the dis- tance from the center of the sphere. Answer the following questions: (Note: Your answer can contain a, b, A, B, and r the radial distance you are looking at.) (a) What shape of Gaussian surface will you use to solve this problem? (b) What is the electric field at r = 3cm? a Psphere Pshell b1. A total charge +Q is distributed over a plastic line in square shape with sides are equal to 2a. The line is so thin that thickness is negligible. The square is positioned to the center. Find the electric field (E =?) at point P which is positioned away from the center (Tp = Xpi + Yp} ,Xp> av2, yp > av2 and xp, yp are constant). ip = Xpl + ypj 2a -> X 0,0 2aRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSONCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON