Chapter 23: Electric Potential
Puzzles



1.  

"A Work Week"
Consider the figure above. The blue ball at (-1,1,0) carries a charge Q, and the green ball at (1,-1,0) carries a charge -Q. I wish to move a small positive test charge, q, from (0,-3,0) to (0,3,0) by one of two routes:

Route 1: straight along the y-axis
Route 2: a path with two diagonal elements passing through the point (-2,0,0)

Which of the following statements is true?

  1. I do more work using Route 1 than Route 2.
  2. I do more work using Route 2 than Route 1.
  3. I do zero work in either case.
  4. I do an equal, positive amount of work in either case.
  5. I do an equal, negative amount of work in either case.
  6. There is not enough given information to decide.
    Please explain how you arrived at your answer in words, not equations.


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