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Chapter 23: Q44P (page 682)
Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by . What is the charge on the sphere?
The charge on the sphere is .
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Figure 23-61 shows a Geiger counter, a device used to detect ionizing radiation, which causes ionization of atoms. A thin, positively charged central wire is surrounded by a concentric, circular, conducting cylindrical shell with an equal negative charge, creating a strong radial electric field. The shell contains a low-pressure inert gas. A particle of radiation entering the device through the shell wall ionizes a few of the gas atoms. The resulting free electrons (e) are drawn to the positive wire. However, the electric field is so intense that, between collisions with gas atoms, the free electrons gain energy sufficient to ionize these atoms also. More free electrons are thereby created, and the process is repeated until the electrons reach the wire. The resulting “avalanche” of electrons is collected by the wire, generating a signal that is used to record the passage of the original particle of radiation. Suppose that the radius of the central wire is 25 mm, the inner radius of the shell 1.4 cm, and the length of the shell 16 cm. If the electric field at the shell’s inner wall is, what is the total positive charge on the central wire?
Figure 23-51 shows a cross-section through a very large non-conducting slab of thicknessand uniform volume charge density . The origin of an x-axis is at the slab’s center. What is the magnitude of the slab’s electric field at an xcoordinate of (a) , (b) , (c) , and (d) ?
Figure 23-22 show, in cross-section, three solid cylinders, each of length and uniform charge . Concentric with each cylinder is a cylindrical Gaussian surface, with all three surfaces having the same radius. Rank the Gaussian surfaces according to the electric field at any point on the surface, greatest first.
An unknown charge sits on a conducting solid sphere of radius 10 cm . If the electric field 15 cm from the center of the sphere has the magnitude and is directed radially inward, what is the net charge on the sphere?
A thin-walled metal spherical shell has radiusand charge . Find Efor a point (a) inside the shell, (b) just outside it, and (c)from the center.
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