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# Conservative Fields

## Prerequisites

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 Path–Finding potential Functions

## In-class Content

- Counting Paths (SGA - 30 min)
- Lecture - 20 min
- QUIZ
- Counting Paths (SGA - 30 min)
- Lecture - 10 min

## Homework for Static Fields

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