Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 840 N/C. The charge density is calulated as: p = 2.2×10−6 Cm3 What is the magnitude of the electric field at a distance of 2.00 cm from the sphere's center?

Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00 cm. At a distance of r = 8.00 cm from the center of the sphere, the electric field due to the charge distribution has magnitude 840 N/C. The charge density is calulated as: p = 2.2×10−6 Cm3 What is the magnitude of the electric field at a distance of 2.00 cm from the sphere's center?

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) Find the total electric field at x = 1.00 cm in Figure 18.52(b) given that q =5.00 nC. (b) Find the total electric field at x = 11.00 cm in Figure 18.52(b). (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge; etc., and what will its value(s) he?)
The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?
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)?
1 2 3 A В E The figure above shows four very thin parallel planes of charge with equal separation between them. The charge density on plate 1 is 2 nC/m2. The charge density on plate 2 is -5 nC/m2. The charge density on plate 3 is 4 nC/m2. The charge density on plate 4 is 3 nC/m2. Your answers for the electric field must include the correct sign. We choose positive electric field along the positive x-direction. What is the Electric Field at point D? (in units of N/C) N/C Submit Answer Tries 0/2
A circular metal plate of radius 17.2 cm carries a total charge of 1.01 μC and the charge is distributed uniformly over the surface of the plate. Determine the surface charge density on the plate and report your answer in µC/m².
The volumetric charge density p = alpha - alpha.r / R of a sphere of radius R is also the radial distance from the center of the sphere. a) What is the total load of the sphere? b) What is the electric field in the inner and outer regions of the sphere?
A thick insulating cylindircal shell of inner radius a=1.9R and outer radius b=7.6R has a uniform charge density p. What is the magnitude of the electric field at r=9.3 R ? Express your answer using one decimal place in units of PR €0
Two small insulating spheres with radius 5.00×10−2 mm are separated by a large center-to-center distance of 0.505 mm . One sphere is negatively charged, with net charge -1.35 μCμC , and the other sphere is positively charged, with net charge 3.65 μCμC . The charge is uniformly distributed within the volume of each sphere. What is the magnitude EEE of the electric field midway between the spheres? Take the permittivity of free space to be ϵ0ϵ0epsilon_0 = 8.85×10−12 C2/(N⋅m2)C2/(N⋅m2) .
The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs1.0 m; p(r)= 2po(1-2 r/3) For r>1.0 m; p(r)= 0, where r is in meters. What is the value of r in meters for which the electric field is maximum? 0.25 0.50 0.75 1.0 2.0
The figure shows a section of a long, thin-walled metal tube of radius R=9.01 cm, with a charge per unit length 2.30 nC/m. What is the magnitude E of the electric field at r=7.50 cm R
Two homogeneous rods with a length of 5 cm each are positioned as in Fig. a. Determine the magnitude and direction of the electric field vector at point P on the coordinates (5.0) cm, if the unit charge density is λ = 2.10-9 C / m! b. If an electron is placed at point P, what is the electric force that is experienced by the electron?
Charge is distributed uniformly along a long straight wire. The electric field 52 cm from the wire is measured to be 14,500 N/C. What is the linear charge density of the wire? The linear charge density, K = Units Select an answer v