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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 PathFinding potential Functions

## 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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