1. A solid insulating sphere of radius A has a total charge Q that is distributed uniformly throughout the sphere. Concentric with this sphere is an uncharged, conducting spherical shell whose inner and outer radii are B and C. a. What are the surface charge densities on the inner and outer surfaces of the conducting spherical shell? b. What is the electric field everywhere (r C)?

1. A solid insulating sphere of radius A has a total charge Q that is distributed uniformly throughout the sphere. Concentric with this sphere is an uncharged, conducting spherical shell whose inner and outer radii are B and C. a. What are the surface charge densities on the inner and outer surfaces of the conducting spherical shell? b. What is the electric field everywhere (r C)?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 43P

See similar textbooks

Similar questions

Examine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?
A net flux of 1.0104 N ? m2/C passes inward through the surface of a sphere of radius 5 cm (a) How much charge is inside the sphere? (b) How precisely can we determine the location of the charge from this information?
a. Calculate the electric field force on an α Particle at the surface a gold atom presuming that the +ive charge in spread uniformly through the volum of the atom. Ignore the atomic is es. A gold atom has a radius of 0.16nm.treat the α- particle as point particle.b. through what distance would this force, presumed constant have to act to rest? Express your answer in term of the diameter of the gold atom?
A thick, conducting, spherical shell of inner radius a and outer radius b carries an excess charge of −2Q. At the center of the spherical shell, a point charge −Q is placed. A. How is the charge −2Q distributed on the think spherical shell? (Just give an answer.) i. How much charge is on the surface of radius a ii. How much charge is on the surface of radius b B. What is the direction of the electric field (radially inward, radially outward or zero) in each of the following regions. (Just give an answer in the table provided.) r < a a <r r> b
A standard coaxial cable consists of a cylindrical central conducting wire, a layer of surrounding insulation, a flexible conducting pipe-like sheath, and a final outer layer of insulation as shown in the figure. Imagine a very long straight stretch of such a wire, and suppose that the inner wire has a charge per unit length of λ and the sheath has a charge per unit lenth of -λ (where λ is a positive constant). a. Argue that the charge must reside in thin layers on the wire's outer surface and the sheath's inner surface. b. Determine Evector (in terms of R, λ, and ε0) in the regions (1) s < R, (2) R < s < 2R, and (3) s > 2R. c. Draw a quantitatively accurate graph of Er as a function of s from s = 0 to s = 3R. The graph will look discontinuous in places. Explain why this does not violate the continuity principle.
The electric field in a particular space is E→ = (x + 1.8)î N/C with x in meters. Consider a cylindrical Gaussian surface of radius 16 cm that is coaxial with the x axis. One end of the cylinder is at x = 0. (a) What is the magnitude of the electric flux through the other end of the cylinder at x = 2.9 m? (b) What net charge is enclosed within the cylinder?
Consider a uniform electric field of E = (a, b, 0) and a disk of radius R What is the flux through the disk if it sits in the yz-plane? What is the flux through the disk if it sits in the xy-plane? What is the maximum flux through the disk as it rotated through all possible orientations?
A quadrilateral plate having a side length of 0.5m with A at 40® to a uniform electric field E of magnitude 3.0 x 103 N/C. (a) What is the electric flux through the disk? (b) What is the flux through the disk if it is turned so that ?⃗ is perpendicular to ?⃗⃗? (c) What is the flux through the disk if ?⃗ is parallel to ?⃗⃗?
Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6 C uniformly distributed on its surface. a. What if the sphere is a solid conductive sphere? What is the electric field at all points inside the sphere? Express your answer as function of the distance r from the center of the sphere. b. What is the electric field at all points outside the sphere? Express your answer as a function of the distance r from the center of the sphere
An infinitely long conducting cylindrical rod with a positive charge λ per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of −2λ and radius r1, as shown in the figure. A) What is E(r), the radial component of the electric field between the rod and cylindrical shell as a function of the distance r from the axis of the cylindrical rod? Express your answer in terms of λ, r, and ϵ0 the permittivity of free space. B) What is σ inner, the surface charge density (charge per unit area) on the inner surface of the conducting shell? C) What is σ outer, the surface charge density on the outside of the conducting shell? (Recall from the problem statement that the conducting shell has a total charge per unit length given by −2λ D) What is the radial component of the electric field, E(r), outside the shell?
(a) A cubic shape conductor with edge length 2m has 16C charge (i) What will be the electric flux? (ii) What will be the flux if the cube edge length increases to 4m? (ii) Calculate the flux density for a case
Consider a uniform electric field ?⃗⃗=2kNC ?̂. (a) What is the flux of this field through a square of side 10 cm in a plane parallel to the yz-plane? (b) What is the flux through the same square if the normal to its plane makes a 30º angle with the x-axis?