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Chapter 24: Gauss’s Law

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Pages: 658 - 686

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73 Questions for Chapter 24: Gauss’s Law

  1. Two point charges qa and qb are located on the x-axis at x = a and x = b. FIGURE EX25.34 is a graph of V, the

    Found on Page 658
  2. Newton’s law of gravity and Coulomb’s law are both inversesquare laws. Consequently, there should be a “Gauss’s law for gravity.” a. The electric field was defined as E u = F u on q /q, and we used this to find the electric field of a point charge. Using analogous reasoning, what is the gravitational field g u of a point mass?

    Found on Page 658
  3. A proton is fired from far away toward the nucleus of an iron atom. Iron is element number 26, and the diameter of the nucleus is 9.0 fm. What initial speed does the proton need to just reach the surface of the nucleus? Assume the nucleus remains at rest.

    Found on Page 658
  4. | A spherical ball of charge has radius R and total charge Q. The electric field strength inside the ball 1r … R2 is E1r2 = r4 Emax /R4 . a. What is Emax in terms of Q and R? b. Find an expression for the volume charge density r1r2 inside the ball as a function ofr.c. Verify that your charge density gives the total charge Q when integrated over the volume of the ball

    Found on Page 658
  5. Suppose you have the uniformly charged cube in FIGURE Q24.1. Can you use symmetry alone to deduce the shape of the cube’s electric field? If so, sketch and describe the field shape. If not, why not?

    Found on Page 681
  6. Suppose you have the uniformly charged cube in FIGURE Q24.1. Can you use symmetry alone to deduce the shape of the cube’s electric field? If so, sketch and describe the field shape. If not, why not?

    Found on Page 681
  7. FIGURE EX24.1 shows two cross sections of two infinitely long coaxial cylinders. The inner cylinder has a positive charge, the outer cylinder has an equal negative charge. Draw this figure on your paper, then draw electric field vectors showing the shape of the electri

    Found on Page 682
  8. A small, metal sphere hangs by an insulating thread within the larger, hollow conducting sphere of FIGURE Q24.10. A conducting wire extends from the small sphere through, but not touching, a small hole in the hollow sphere. A charged rod is used to transfer positive charge to the protruding wire. After the charged rod has touched the wire and been removed, are the following surfaces positive, negative, or not charged? Explain. a. The small sphere. b. The inner surface of the hollow sphere. c. The outer surface of the hollow sphere.

    Found on Page 682
  9. What is the electric flux through the surface shown in FIGURE EX24.10?

    Found on Page 683
  10. The electric flux through the surface shown in FIGURE EX24.11 is 25Nm2/C. What is the electric field strength?

    Found on Page 683

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