A solid sphere of insulating material with radius R=9.47cm has a uniform volume charge density given by ρ(r)= {p0 for r ≤ R and 0 for r > R where ρ0 = 456 nC/m3. a) What is the magnitude, in newtons per coulomb, of the electric field at a distance r=4.33cm from the center of the sphere. b) What is the magnitude, in newtons per coulomb, of the electric field at a distance r=14.4cm�=14.4cm from the center of the sphere.

A solid sphere of insulating material with radius R=9.47cm has a uniform volume charge density given by ρ(r)= {p0 for r ≤ R and 0 for r > R where ρ0 = 456 nC/m3. a) What is the magnitude, in newtons per coulomb, of the electric field at a distance r=4.33cm from the center of the sphere. b) What is the magnitude, in newtons per coulomb, of the electric field at a distance r=14.4cm�=14.4cm from the center of the sphere.

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

A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
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 solid sphere of insulating material with radius R=7.62cm�=7.62cm has a uniform volume charge density given by p(r) = { (p0 for r<=R), (0 for r > R)} where ρ0=296nC/m3. What is the magnitude, in newtons per coulomb, of the electric field at a distance r=3.28cm from the center of the sphere. What is the magnitude, in newtons per coulomb, of the electric field at a distance r=11.9cm from the center of the sphere.
Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric field magnitude E is measured along the ring’s central axis (perpendicular to the plane of the ring). At what distance from the ring’s center is E maximum?
An infinitely long solid insulating cylinder of radius R has a uniform volume charge density of 0.99μC/m3. If the magnitude of the electric field 0.302m from the axis of the cylinder is 3880N/C, what is R, the radius of the cylinder, in meters? Assume that R<0.302m, so the point of observation is exterior to the cylinder.
A long solid copper cylinder has a radius of R=3.0cmR=3.0cm and a uniform (linear) surface charge density of 5.75μC/mμC/m. What is the magnitude of the electric field, in newtons per coulomb, at a distance of 1.5 cm from the symmetry axis of the cylinder?
A sphere of radius R=0.255 m and uniform charge density −151 nC/m3 lies at the center of a spherical, conducting shell of inner and outer radii 3.50⁢R and 4.00⁢R, respectively. If the conducting shell carries a total charge of Q=14.3 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution. 0.360R: ? 3.60⁢R: ? 3.40R: ?
The figure shows a spherical shell with uniform volume charge density ρ = 2.06 nC/m3, inner radius a = 8.90 cm, and outer radius b = 3.8a. What is the magnitude of the electric field at radial distances , (d) r = 1.50a, (e) r = b, and (f) r = 3.00b? please put the units
A disk of radius 2.5 cm has a surface charge density of 5.3 mC/m2 on its upper face.What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z =12 cm from the disk?
The figure shows a spherical shell with uniform volume charge density ρ = 2.09 nC/m3, inner radius a = 10.0 cm, and outer radius b = 2.1a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b?
A disk of radius 3.3 cm has a surface charge density of 5.1 µC/m2 on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z = 13 cm from the disk?
In the figure a sphere, of radius a = 13.2 cm and charge q = 6.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 37.0 cm and outer radius c = 39.0 cm . This shell has a net charge of -q. Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r< a). Evaluate for r=6.6 cm. Find expressions for the electric field as a function of the radius r, between the sphere and the shell (a< r <b). Evaluate for r=25.1 cm. Find expressions for the electric field as a function of the radius r, inside the shell (b< r <c). Evaluate for r=38.0 cm