A spherical plastic shell has an inner radius R1 and an outer radius R2, and it has a total charge Q uniformly distributed throughout the volume. At the center of the spherical cavity is a point charge q. What is the strength of the electric field at a distance r from the point charge when r < R1, when R1 < r< R2, and when r > R2.

A spherical plastic shell has an inner radius R1 and an outer radius R2, and it has a total charge Q uniformly distributed throughout the volume. At the center of the spherical cavity is a point charge q. What is the strength of the electric field at a distance r from the point charge when r < R1, when R1 < r< R2, and when r > R2.

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 infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
The conductive sphere of radius R +Q is concentric with a -Q charged spherical conductive shell of inner radius R1, outer radius R2, as in the figure. When r>R2, find an expression for the electric field as a function of radius r.
A small conducting ball that carries a charge of 30.0 nC islocated at the center of an electrically neutral hollow conductingsphere of inner radius 100 mm and outer radius 150 mm. Whatis the surface charge density (a) on the sphere’s inner surface and(b) on its outer surface? (c) Determine the electric field as a functionof r, the radial distance from the center of the sphere
A solid metallic sphere of radius a carries total charge Q. No other charges are nearby. The electric field just outside its surface is keQ/a2 radially outward. At this close point, the uniformly charged surface of the sphere looks exactly like a uniform flat sheet of charge. Is the electric field here given by σ/∈0 or by σ/2∈0?
the electric field at point P just outside the outer surface of a hollow spherical conductor of inner radius 10 cm and outer radius 20 cm has mangnitude 450 N/C and is directed outward. when a particle of unknown charge Q is introduced into the center of the sphere. the electric field at P is still directed outward but is now 180N/C. (a) What was the net charge emclosed by the outer surface before Q was introduced ? (b) What is charge Q? After Q is introduced.what is the charge on the (c) inner and (d) outer surface of the condutor?
1.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?
Consider a thin-shelled hollow tube of length L, radius R with a uniform surface charge density σ and with the z-axis as its central axis. This can be described by: x2 + y2 = R2 and -L/2 ≤ z ≤ L/2. What is the electric field at z0 along the z-axis, where z0 > L/2?
A positive static charge +10q is placed off-center inside a conducting shell of a certain thickness. The conductor has a net charge of +8q. What is the charge on the conductor's outer surface? A rectangular sheet with length 5.00 m and width 3.00 m is immersed in a uniform electric field with magnitude 14.0 N/C. If the sheet is placed at an angle 30∘ from the xy-plane and the electric field is pointing in the z-direction, what is the magnitude of the electric flux through the sheet?
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
A hollow conducting sphere with inner radius R and outer radius 2R has a non-uniform volume charge distribution in the region R<r<2R given by ρ(r)=(4C/m⁵)r². If R=0.564m, what is the magnitude of the electric field (in N/C) at r=3/2R?
If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributedthroughout its volume, what is its a) volume charge density? What is the magnitude of the electricfield at b) 10 cm and c) 65 cm from the center of the sphere.