A negative charge (-6 uC) is spread uniformly over the shell with a radius of 8 cm. Insude this hollow shell is a solid sphere with a positive charge of 8uC and a radius of 6 cm At a point outside the shell and is 12 cm from the center of the sphere, a. Determine the total electric flux b. Find the magnitude of the electric field, expressed in MN/C

A negative charge (-6 uC) is spread uniformly over the shell with a radius of 8 cm. Insude this hollow shell is a solid sphere with a positive charge of 8uC and a radius of 6 cm At a point outside the shell and is 12 cm from the center of the sphere, a. Determine the total electric flux b. Find the magnitude of the electric field, expressed in MN/C

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 63PQ

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A negative charge (- 6 uC) is spread uniformly over the shell with a radius of 8 cm. Inside this hollow shell is a solid sphere with a positive charge of 8 uC and a radius of 6 cm. At a point outside the shell and is 12 cm from the center of the sphere. a. Determine the total electric fluxb. Find the magnitude of the electric field, expressed in MN/C
A solid insulating sphere of radius 0.07 m carries a total charge of 25 uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m, and carrying total charge of -54 uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the follwing distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.
A uniform surface charge of density 8.0 nC/m2 is distributed over the entire xy plane. What is the electric flux through a spherical Gaussian surface centered on the origin and having a radius of 5.0 cm?
A solid insulating sphere of radius 0.07 m carries a total charge of 25uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12m and outer radius of 0.18m, and carrying a total charge of -54uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distance from the center tf the two spheres and shells: (b) 0.05m, (c) 0.10m (d) 0.15m and (e) .25m
The figure shows a Gaussian surface in the shape of a cube with edge length 1.60 m. What are (a) the net flux through the surface and (b) the net charge qenc enclosed by the surface ifthe electric field in the region is in the positive y direction and has a magnitude that is given by E = 3.93y N/C? What are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex = -4.66 N/C and Ey = (6.79 + 3.93y) N/C?
the figure shows a solid sphere of total charge Q and radius R. Inside the sphere is a gaussian surface with radius r and it encloses charge q. use the definition of volumetric charge density to find the ratio of q/Q
Consider a plane surface in a uniform electric field as in the Figure , where d=15 cm and Theta=70 . If the net flux through the surface is 6.00 Nm2/C, find the magnitude of the electric field
(FILL IN THE BLANKS) Problem Using the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at x0 distance from its center? (Consider that the surface of the plate lies in the yz plane)
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.
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
What is the net electric flux through the torus (i.e., doughnut shape) of the figure? Assume that Q=300nC Q=300nC and q=−3.0nC q=−3.0nC.
A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.