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Warming up on...   Gauss's Law

This assignment is due before 9 AM, Friday, August 30th, 2007.



Please type your last name and first initial (e.g., Rader, A):

Please type a nickname: (in case your answer gets used in class).




Prior to answering the questions, you might want a little more experience with electric fields.

  • The following link gives the wind velocity vector field for San Francisco Bay. Click on the "Streaklines" to see the map in motion (requires JAVA) on your computer.
  • The notion of an electric field is similar, except that only charged particles (instead of air particles, dust, etc) respond to electric fields. The following link provides some short movies of electric fields due to a particle source and a particle sink. Click on the image to play the movie.

The following three questions refer to the material you were to read in preparation to the lesson. Questions one and two require you to write a three or four sentence response. Number three is a multiple choice question. Click in the appropriate circle.

You may change your mind as often as you wish. When you are satisfied with your responses, click the SUBMIT HOMEWORK button at the bottom of this page.

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1.

The following statements are all true:
  1. Inside a perfect conductor, the electric field must be zero.
  2. No excess charge can exist inside a perfect conductor.
  3. All of the excess charge on a perfect conductor must be located at the surfaces.
  4. The flux through an arbitrary closed surface equals the charge enclosed by the surface divided by 0. (Gauss's law)
Some of these statements are used to prove the others. Which are which? Please put these statements together in a logical order, adding any other facts as needed, to make a logical argument.






2.

Estimate the total charge and surface charge density on the Earth, assuming that it is the only source of the Earth's electric field. At ground level, the Earth's field has a magnitude of about 150 N/C and points vertically downward.






3.

We would like to calculate the electric field as a function of distance from each of the following charge distributions. In which case will Gauss's law not be useful?

a) A hollow sphere with a uniform volume charge density

b) An infinitely long solid cylinder with a charge density that varies with radius

c) A solid conducting sphere with a total charge of 5 microcoulombs

d) An infinitely long solid cylinder with a charge density that varies along the length

e) A solid conducting cube with a total charge of 5 microcoulombs

f) both d) and e)

g) both c) and e)





Below is a space for your thoughts, including general comments about today's assignment. What was hard or confusing (or cool)? What would you like to spend extra time on in class? Do you see how this subject fits in with the others we have discussed?




You may change your mind as often as you wish. When you are satisfied with your responses click the SUBMIT button.




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