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Chapter 23: Gauss' Law

Fundamentals Of Physics
Pages: 659 - 684

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94 Questions for Chapter 23: Gauss' Law

  1. Figure 23-28 shows a section of three long charged cylinders centered on the same axis. Central cylinder Ahas a uniform chargeqA=+3q0. What uniform chargesqBandqCshould be on cylinders Band Cso that (if possible) the net electric field is zero at

    Found on Page 678
  2. 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.

    Found on Page 678
  3. Figure 23-34 shows a closed Gaussian surface in the shape of a cube of edge length 2.00 m. It lies in a region where the non-uniform electric field is given by E→=[(3.00x+4.00)i^+6.00j^+7.00k^]N/C, with xin meters. What is the net charge contained by the cube?

    Found on Page 679
  4. Rank the situations of Question 9 according to the magnitude of the electric field

    Found on Page 678
  5. Found on Page 679
  6. Figure 23-36 shows two non-conducting spherical shells fixed in place. Shell 1 has uniform surface charge density+6.0μC/m2on its outer surface and radius 3.0cm; shell 2 has uniform surface charge density +4.0μC/m2on its outer surface and radius 2.0 cm ; the shell centers are separated by L = 10cm. In unit-vector notation, what is the net electric field at x= 2.0 cm ?

    Found on Page 679
  7. Figure 23-29 shows four Gaussian surfaces consisting of identical cylindrical midsections but different end caps. The surfaces are in a uniform electric fieldE→that is directed parallel to the central axis of each cylindrical midsection. The end caps have these shapes:S1, convex hemispheres;S3, concave hemispheres;S3, cones;S4, 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 fi

    Found on Page 678
  8. The electric field in a certain region of Earth’s atmosphere is directed vertically down. At an altitude of 300 mthe field has magnitude60.0 N/C; at an altitude of200m, the magnitude is . Find the net amount of charge contained in a cube 100 m on edge, with horizontal faces at altitudes of200 and 300m.

    Found on Page 680
  9. 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 ϕ 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 ϕ=5.0×105Nm2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B?

    Found on Page 680
  10. A particle of charge+q is placed at one corner of a Gaussian cube. What multiple ofq/ε0gives the flux through (a) each cube face forming that corner and (b) each of the other cubes faces?

    Found on Page 680

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