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Conservative Fields


Students should be able to:

  • Find $d\vec{r}$ for a straight or curved path.
  • Evaluate the dot product between two vectors qualitatively.
  • Read vector field maps.
  • Use chop-multiply-add ideas to construct an integral.
  • Estimate integrals by approximation.

Reading: GVC § Independence of PathFinding potential Functions

In-class Content

Homework for Static Fields

  1. (PathIndependence) Students explicitly compute the work required to bring a charge from infinity using two different paths. Include part (e) as an additional path that cannot be solved by integration. (You must invoke path-independence of conservative fields.)

  2. (MurderMystery) This question is adapted from the in-class activity

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