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Chapter 23: Q7P (page 679)
A particle of charge is at the center of a Gaussian cubeon edge. What is the net electric flux through the surface?
The net electric flux through the surface is .
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The cube in Fig. 23-31 has edge length 1.40mand is oriented as shown in a region of uniform electric field. Find the electric flux through the right face if the electric field, in Newton per coulomb, is given by (a) ,(b) , and (c). (d) What is the total flux through the cube for each field?
A square metal plate of edge length 8.0cmand negligible thickness has a total charge of. (a) Estimate the magnitude Eof the electric field just off the center of the plate (at, say, a distance of0.50mmfrom the center) by assuming that the charge is spread uniformly over the two faces of the plate. (b) Estimate Eat a distance of 30m(large relative to the plate size) by assuming that the plate is a charged particle.
Figure 23-24 shows, in cross section, two Gaussian spheres and two Gaussian cubes that are centered on a positively charged particle. (a) Rank the net flux through the four Gaussian surfaces, greatest first. (b) Rank the magnitudes of the electric fields on the surfaces, greatest first, and indicate whether the magnitudes are uniform or variable along each surface.
Figure 23-26 shows four situations in which four very long rods extend into and out of the page (we see only their cross sections). The value below each cross-section gives that particular rod鈥檚 uniform charge density in micro-coulombs per meter. The rods are separated by either or role="math" localid="1661874332860" as drawn, and a central point is shown midway between the inner rods. Rank the situations according to the magnitude of the net electric field at that central point, greatest first.
Charge of uniform volume density fills a nonconducting solid sphere of radius . What is the magnitude of the electric field
(a) and
(b) from the sphere鈥檚 center?
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