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College Magnetism and Electricity Questions

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College Magnetism and Electricity
Isolines of potential are drawn for the gravitational field of Sun-Mercury system. The pattern of the isolines is identical to the pattern of equipotential lines for a system of two electrically charged objects with which of the following properties?
  1. The charges have the same sign and the same magnitude.
  2. The charges have the same sign and different magnitudes.
  3. The charges have opposite charges and the same magnitude.
  4. The charges have the opposite signs and different magnitudes.
College Magnetism and Electricity
Some students experimenting with an uncharged metal sphere want to give the sphere a net charge using a charged aluminum pie plate. Which of the following steps would give the sphere a net charge of the same sign as the pie plate?
  1. Bringing the pie plate close to, but not touching, the metal sphere, then moving the pie plate away.
  2. Bringing the pie plate close to, but not touching, the metal sphere, then momentarily touching a grounding wire to the metal sphere.
  3. Bringing the pie plate close to, but not touching, the metal sphere, then momentarily touching a grounding wire to the pie plate.
  4. Touching the pie plate to the metal sphere.
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