Figure P24.54 shows a cylindrical Gaussian surface endosing a segment of a long charged wire Consider using a spheri- cal Gaussian surface to enclose the same segment of the wire. (a) Which surface, cylindrical or spherical, has the greater elec- tric flux through it? (6) Which surface is more appropriate for calculating the electric flux? Justify your answer. B

Figure P24.54 shows a cylindrical Gaussian surface endosing a segment of a long charged wire Consider using a spheri- cal Gaussian surface to enclose the same segment of the wire. (a) Which surface, cylindrical or spherical, has the greater elec- tric flux through it? (6) Which surface is more appropriate for calculating the electric flux? Justify your answer. B

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 21PQ: The colored regions in Figure P25.21 represent four three-dimensional Gaussian surfaces A through D....

See similar textbooks

Similar questions

A uniformly charged conducting rod of length = 30.0 cm and charge per unit length = 3.00 105 C/m is placed horizontally at the origin (Fig. P24.37). What is the electric field at point A with coordinates (0, 0.400 m)?
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P24.56. The sheet on the left has a uniform sur- face charge density σ, and the one on the right has a uniform charge density -σ. Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the Figure P24.56 two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value σ.
A flat square sheet of thin aluminum foil, 25.0 cm on a side, carries 275 nC of charge,which is uniformly distributed across the sheet. a) How strong, approximately, is theelectric field 0.100 cm above the center of the sheet?b) What is the electric flux through a sphere of radius 15.0 m centered on the sheet?c) How strong, approximately, is the electric field 150 m above the center of the sheet?
A flat square sheet of thin aluminum foil, 40 cm on a side, carries a uniformly distributed 355 nC charge. What, approximately, is the electric field 1.0 cm above the center of the sheet? Express your answer using two significant figures. E1=______ N/C
A uniformly charged disk sit in the yz-plane with its center at the origin. It has radius 2.5 cm and carries a total charge of 4.0 x 10 -12 C. What is the magnitude of the electricfield on the x-axis of the disk at the disk at distance x = 0.2 cm?What is the direction of the eletric field on the axis of the disk at x = 0.2 cm? (to the center or from the center)Is the magnitude of the electric field at x= 0.2 cm larger or smaller thant the electric field at 0.2 cm from an infinite sheet of charge with the same charge per unit area as the disk?What is the percent difference between the electric field produced by the finite disk and by an infinite sheet with the same charge per unit area at x = 0.4 cm?
A solid insulating sphere of radius a = 5.00 cm carries a net positive charge of Q = 3.00 C uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm as shown in Figure P24.54, having net charge q = 1.00 C Prepare a graph of the magnitude of the electric field due to this configuration versus r for O r 25.0 cm.
The colored regions in Figure P25.21 represent four three-dimensional Gaussian surfaces A through D. The regions may also contain three charged particles, with qA + +5.00 nC, qB = 5.00 nC, and qC = +8.00 nC, that are nearby as shown. What is the electric flux through each of the four surfaces? FIGURE P25.21
A conducting rod carrying a total charge of +9.00 C is bent into a semicircle of radius R = 33.0 cm, with its center of curvature at the origin (Fig.P24.75). The charge density along the rod is given by = 0 sin , where is measured clockwise from the +x axis. What is the magnitude of the electric force on a 1.00-C charged particle placed at the origin?
Find the net electric flux through (a) the closed spherical surface in a uniform electric field shown in Figure P23.22a and (b) the closed cylindrical surface shown in Figure P23.22b. (c) What can you conclude about the charges, if any, inside the cylindrical surface? Figure P23.22
If the curved rod in Figure P24.32 has a uniformly distributed charge Q = 35.5 nC, radius R = 0.785 m, and = 60.0, what is the magnitude of the electric field at point A?
A uniform electric field given by E=(2.655.35j)105N/C permeates a region of space in which a small negatively charged sphere of mass 1.30 g is suspended by a light cord (Fig. P24.53). The sphere is found to be in equilibrium when the string makes an angle = 23.0. a. What is the charge on the sphere? b. What is the magnitude of the tension in the cord? FIGURE P24.53
(a) Find the net electric flux through the cube shown in Figure P23.17. (b) Can you use Gausss law to find the electric field on the surface of this cube? Explain. Figure P23.17