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C H A P T E R 2 3 C H A P T E R 2 3 C H A P T E R 2 3 C H A P T E R 2 3 PROBLEMS PROBLEMS PROBLEMS PROBLEMS Tutoring problem available (at instructor's discretion) in WileyPLUS and WebAssign SSM Worked-out solution available in Student Solutions Manual - Number of dots indicates level of problem difficulty ILW Interactive solution Additional information available in The Flying Circus of Physics sec. 23-3 Flux of an Electric Field 1. The square surface shown in Fig. 23-26 measures 3.2 mm on each side. It is immersed in a uniform electric field with magnitude and with field lines at an angle of with a normal to the surface, as shown. Take that normal to be directed outward, as though the surface were one face of a box. Calculate the electric flux through the surface. SSM FIGURE 23-26 Problem 1. 2. An electric field given by pierces a Gaussian cube of edge length and positioned as shown in Fig. 23-5. (The magnitude is in newtons per coulomb and the position x is in meters.) What is the electric flux through the (a) top face, (b) bottom face, (c) left face, and (d) back face? (e) What is the net electric flux through the cube? 3. The cube in Fig. 23-27 has edge length and is oriented as shown in a region of uniform electric field. Find the electric flux through the right face if the electric field, in newtons per coulomb, is given by (a) (b) , and (c) . (d) What is the total flux through the cube for each field? Page 1 of 16 Problems 8/27/2007 http://edugen.wiley.com/edugen/courses/crs1650/pc/halliday8019c23/halliday8019c23_13.... FIGURE 23-27 Problems 3, 4, and 11. sec. 23-4 Gauss' Law 4. At each point on the surface of the cube shown in Fig. 23-27, the electric field is parallel to the z axis. The length of each edge of the cube is . On the top face of the cube , and on the bottom face . Determine the net charge contained within the cube. 5. A point charge of is at the center of a cubical Gaussian surface on edge. What is the net electric flux through the surface? 6. In Fig. 23-28, a butterfly net is in a uniform electric field of magnitude . The rim, a circle of radius , is aligned perpendicular to the field. The net contains no net charge. Find the electric flux through the netting. FIGURE 23-28 Problem 6. 7. In Fig. 23-29, a proton is a distance directly above the center of a square of side d . What is the magnitude of the electric flux through the square? ( Hint: Think of the square as one face of a cube with edge d .) FIGURE 23-29 Problem 7. 8. Figure 23-30 shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge density on its outer surface and radius ; shell 2 has uniform surface charge density on its outer surface and radius ; the shell centers are separated by . In unit- vector notation, what is the net electric field at ?... View Full Document

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