A uniformly charged insulating sphere with radius r and charge +Q lies at the center of a thin-walled hollow cylinder with radius R >r and length L > 2r. The cylinder is non- conducting and carries no net charge. (a) Determine the outward electric flux through the rounded "side" of the cylinder, excluding the circular end caps. (b) Determine the electric flux upward through the circular cap at the top of the cylinder. (c) Determine the electric flux downward through the circular cap at the bottom of the cylinder. (d) Add the results from parts (a)-(c) to determine the outward electric flux through the closed cylinder. (e) Show that your result is consistent with Gauss's law.

A uniformly charged insulating sphere with radius r and charge +Q lies at the center of a thin-walled hollow cylinder with radius R >r and length L > 2r. The cylinder is non- conducting and carries no net charge. (a) Determine the outward electric flux through the rounded "side" of the cylinder, excluding the circular end caps. (b) Determine the electric flux upward through the circular cap at the top of the cylinder. (c) Determine the electric flux downward through the circular cap at the bottom of the cylinder. (d) Add the results from parts (a)-(c) to determine the outward electric flux through the closed cylinder. (e) Show that your result is consistent with Gauss's law.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A point charge q = -5.5x 10 C is placed at the center of a spherical conducting shell of inner radius 2.8 cm and outer radius 3.3 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 9.0 N/C. (a) What is the charge density (in C/m2) on the inner surface of the shell? C/m² (b) What is the charge density (in C/m2) on the outer surface of the shell? C/m² (c) What is the net charge (in C) on the conductor?
A uniformly charged conducting sphere of 1.7 m diameter has a surface charge density of 8.7 µC/m². (a) Find the net charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere? (a) Number (b) Number i Units Units
A solid conducting sphere of radius 2.00 cm has a charge 17.00 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 of -6.00 µC. (Take radially outward as the positive direction.) (a) Find the electric field at r = 1.00 cm from the center of this charge configuration. MN/C (b) Find the electric field at r = 3.00 cm from the center of this charge configuration. MN/C (c) Find the electric field at r = 4.50 cm from the center of this charge configuration. MN/C (d) Find the electric field atr = 7.00 cm from the center of this charge configuration. MN/C
Figure (a) shows a nonconducting rod with a uniformly distributed charge +Q. The rod forms a 10/23 of 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 (see Figure (b)), by what factor is the magnitude of the electric field at P multiplied? +Q +Q R (a) (b) Number i ! Units This answer has no units
In Fig. 1, a thin glass rod forms a semicircle of radius r= 10.00 cm. Charge is uniformly distributed along the rod, with q = 20.00 mC in the upper half and q=-20.00 mC in the lower half. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field at P, the center of the semicircle fig.1 +q P -9
QUESTION 2 2. Consider the following sphere inside a sphorical shell. Both are made of conducting material The radius of the sphere is R=1.65 cm. Inner radius and outer radii are 2R and 3R, respectively. Total charge of inner sphere is Q-1.91 nC. The charge of shell is -3Q. What is the magnitude of electric field on the outer surface of the sholl (in unit of N/C) ? ABCD QUESTION 3 3. Two paratiel plates of area 0.50 m² are each charged with uniformly with +0 and +20 as shown, where Q- 1.84 nC. Two plates are separated by 1 cm. (You may approximate the plates to be infinite planes.) What is the y-component of the electric field in region between the two plates (in unit of N/C)? +2Q +Q +y
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set by E, -4.5 x 10° N/C. What is the linear charge density of the shell? Number E r(cm) (A) Units 13.8
A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.60 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod- (a)
In the figure a nonconducting rod of length L = 8.39 cm has charge -q = -4.42 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 12.7 cm from the rod? What is the electric field magnitude produced at distance a = 80 m by (d) the rod and (e) a particle of charge -q = -4.42 fC that replaces the rod?