a) What is the total electric charge q, on the non-conducting sphere? b) What is the electric charge q, on the inner surface of the metal shell? c) What is the surface charge density o on the outer surface of the metal shell? d) What is the total charge q, on the outer surface of the metal shell? e) What is the electric field inside the bulk of the metal shell, i.e. at points with radius between R, and R,? f) What is the electric field outside the metal shell?

a) What is the total electric charge q, on the non-conducting sphere? b) What is the electric charge q, on the inner surface of the metal shell? c) What is the surface charge density o on the outer surface of the metal shell? d) What is the total charge q, on the outer surface of the metal shell? e) What is the electric field inside the bulk of the metal shell, i.e. at points with radius between R, and R,? f) What is the electric field outside the metal shell?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

See similar textbooks

Similar questions

Two 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).
The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A non-conducting spherical shell has an inner radius & and an outer radius 28. There are no charges at r<& wherer is the distance from the center of the sphere. A total charge is distributed uniformly in the volume of the shell (between r=R and r=2R) Find the magnitude of the electric field at r=1718. Express your answer in units of using two decimal R² kQ places
A solid conducting cylinder, which has a charge Q1 =49Q and radius ra= 1.7R is placed inside a very thin cylindrical shell of radius rh = 6.9R and charge Q2 =-17Q as shown in the figure below. Q2 R2 Find the magnitude of the electric field at r=4.1R. Express your answer using one decimal point in units Q of περRL
A long cylindrical conductor of radius r:= 5.0cm has a uniform charge density of 0:= 4.0 on it surface. This cylinder is surrounded by a concentric conducting μα µC cylinder of radius rɔ:= 8.0cm and uniform charge density of 2:=-2.5. 2 m on its surface 5) Find the Efield at a distance 'r" in between the two conductors rį
7) A thick spherical shell, of inner radius r, and outer radius r, is made of conducting material. A charge +Q is placed at the centre of the conducting shell. a) Drawa sketch of the distribution of charge in the conductor and the electric field lines. b) Use Gauss' Law to find expressions for the electric field for 0
A solid conducting cylinder, which has a charge Q1 =61Q and radius ra = 1.7R is placed inside a very thin cylindrical shell of radius rp = 4.1R and charge Q2 =-8Q as shown in the figure below. Q2 R2 Q1 Find the magnitude of the electric field at r=5.3R. Express your answer using one decimal point in units of περRL
A solid non-conducting sphere of radius "R" has a volume charge density proportional to the distance from the center: p= B/r² for r ≤R, where B is a constant; p = 0 for r > R. 1) Find the total electric charge contained in the sphere of radius "R" II) Find the magnitude of the electric field inside the sphere (r ≤ R) III) Find the magnitude of the electric field outside the sphere(r > R)
1) A very long insulating cylinder has radius R and carries positive charge distributed throughout its volume. The charge distribution has cylindrical symmetry but varies with perpendicular distance from the axis of the cylinder. The volume charge density is ρ(r)=α(1−r/R), where α is a constant with units C/m3 and r is the perpendicular distance from the center line of the cylinder.a) Derive an expression for E(r), the electric field as a function of r for r<R, b) Derive an expression for E(r), the electric field as a function of r for r>R.
-->> R In the figure we see a rod of length LA = 22 cm carries a charge QA = 22 nC and a circular arc of radius RB = 13 cm caries a charge QB = 49 nC. The center of the rod is at y = 4 cm from the origin. a) Find the charge density for both the rod and the arc. charge density of the rod Give your answer up to at least three significance digits. C/m charge density of the arc Give your answer up to at least three significance digits. Activa C/m Go to S
Two spheres have their radius in the ratio1: 2; compare the surface density of charge if the ratio of charge on them is 1: 2. Ans. 2: 1.