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Chapter 23: Q68P (page 684)
The net electric flux through each face of a die (singular of dice) has a magnitude in units of that is exactly equal to the number of spots Non the face (1 through 6). The flux is inward for Nodd and outward for Neven. What is the net charge inside the die?
The net charge inside the die is .
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A uniformly charged conducting sphere of1.2 mdiameter has surface charge density 8.1 mC/m2 . Find (a) the net charge on the sphere and (b) the total electric flux leaving the surface.
A non-conducting solid sphere has a uniform volume charge density P. Letbe the vector from the center of the sphere to a general point Pwithin the sphere.
(a) Show that the electric field at Pis given by(Note that the result is independent of the radius of the sphere.)
(b) A spherical cavity is hollowed out of the sphere, as shown in Fig. 23- 60. Using superposition concepts, show that the electric field at all points within the cavity is uniform and equal to where ais the position vector from the center of the sphere to the center of the cavity.
Space vehicles traveling through Earth鈥檚 radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite1.3min diameter accumulatesof charge in one orbital revolution. (a) Find the resulting surface charge density. (b) Calculate the magnitude of the electric field just outside the surface of the satellite, due to the surface charge.
A particle of charge is at the center of a spherical cavity of radius in a chunk of metal. Find the electric field
(a)from the cavity center and
(b) anyplace in the metal.
Figure 23-47 shows cross-sections through two large, parallel, non-conducting sheets with identical distributions of positive charge with surface charge density. In unit-vector notation, what is the electric field at points (a) above the sheets, (b) between them, and (c) below them?
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