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Chapter 23: Q4P (page 679)
In Fig. 23-32, 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.
The electric flux through the netting is .
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Figure 23-41ashows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are non-conducting and thin and have uniform surface charge densities on their outer surfaces. Figure 23-41bgives the radial component Eof the electric field versus radial distance rfrom the common axis, and. What is the shell鈥檚 linear charge density?
Flux and non-conducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of non-conducting material. Figure 23-37a shows a cross section. Figure 23-37b gives the net flux through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by . (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B?
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 23-29 shows four Gaussian surfaces consisting of identical cylindrical midsections but different end caps. The surfaces are in a uniform electric fieldthat is directed parallel to the central axis of each cylindrical midsection. The end caps have these shapes:, convex hemispheres;, concave hemispheres;, cones;, flat disks. Rank the surfaces according to (a) the net electric flux through them and (b) the electric flux through the top end caps, greatest first.
In Fig. 23-49, a small, non-conducting ball of massand charge (distributed uniformly through its volume) hangs from an insulating thread that makes an angle with a vertical, uniformly charged non-conducting sheet (shown in cross-section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density s of the sheet.
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