A solid insulating sphere of radius a=5.0 cm carries a net positive charge of Q=6.0 µC uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b=10 cm and outer radius c=15 cm and having net charge Q2= -8 µC, as shown. The electric field at a point r=12 cm from the center is: Insulator Conductor

A solid insulating sphere of radius a=5.0 cm carries a net positive charge of Q=6.0 µC uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b=10 cm and outer radius c=15 cm and having net charge Q2= -8 µC, as shown. The electric field at a point r=12 cm from the center is: Insulator Conductor

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

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)?
Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, what are (a) the charge density on each plate? (b) The electric field between the plates?
A thick insulating cylindircal shell of inner radius a-1.5R and outer radius b=5.1R has a uniform charge density p. What is the magnitude of the electric field at r=9.4 R ? Express your answer using one decimal place in units of PR :?
The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= Po(1-4r/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?
A spherical insulating sphere has a radius of 0.4 m. The electric field on the surface of the sphere is measured to be 8.9×10^3 N⁄Cand points radially toward the center. Calculate the average volume charge density (ρ ) in (C/m3) of the sphere?
A solid conducting sphere, which has a charge Q1=38Q and radius ra= 1.3R is placed inside a very thin spherical shell of radius rp = 7.6R and charge Q2 =-10Q as shown in the figure below. Q1 ra Find the magnitude of the electric field at r=4.7. Express your answer using one decimal point in units 1 where k = of k 4πεο
A thick insulating cylindircal shell of inner radius a=2.5R and outer radius b=5.2R has a uniform charge density p . What is the magnitude of the electric field at r=8.2 R ? Express your answer using one decimal place in units of ?
A thick insulating cylindircal shell of inner radius a=2.9R and outer radius b=6.8R has a uniform charge density p. PR What is the magnitude of the electric field at r=8.3 R ? Express your answer using one decimal place in units of
An infinite cylindrical conductor has an inner radius ra =57.9mm and an outer radius 70.4mm. The conductor has a linear charge density of A₁ =136. On the axis of the cylinder is an infinite line charge with linear charge density ₂ = -9€. Determine the electric field magnitude at the point r = 31.03mm (in) C O
A solid insulating sphere of radius 0.07 m carries a total charge of 25 ??. Find (a) the charge distribution for the insulating sphere and the magnitude of electric field at (b) 0.15 m and (c) 0.03 m from the center of the sphere.
The Electric Field of a Charged Semi-CircleA semi-circle non-conducting wire with radius 93.00 [cm] is charged with charge 7.50×10-9 [C]. Calculate the electric field at the center of the semi-circle if the charge distribution is uniform.Ex =Ey =Ez = Consider the case in which the charge density is given by λ = λ° sin(θ), where θ is measured with respect to the x-axis. Calculate λ° and the electric field at the center of the semi-circle.λ° = Ex =Ey =Ez =
The figure shows two concentric insulating thin spherical shells: Sphere 1 of radius R₁ = R cm and a total charge Q₁ = +Q nC. Sphere 2 of radius R₂ = 2R cm and a total charge Q2 = -40 nC. Take R-25 cm and Q-90 nC E = +Q R E= B 1. Find the magnitude of the net electric field at a distance r= 91 cm from the center of the two spheres. [N/C] E = 2. The net electric filed vector at a distance r= 91 cm from the center of the two spheres is pointing: Ooutward 40 3. Find the magnitude of the net electric field at a distance r= 41 cm from the center of the two spheres. [N/C] 2R Oinward 4. Find the magnitude of the net electric field at a distance r= 21 cm from the Ct...er of the two spheres. + [N/C] 5. What is the direction of the electric field E₂ created by Ring 2 at point P Direction: 6. Write the expression of the electric filed E₂ created by Ring 2 at point P. Ē₂ = > [N/C] 7. If vector E₁ = [N/C] and vector E₂ = [N/C]. Find the net electric filed Enet at point P. Enet = [N/C] > [N/C] 8. If…