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# Work and Electric Field

**Keywords:**E&M, Vector Line Integrals, Surfaces, Vector Field Map

### Highlights of the activity

- Students work in small groups to estimate the vector line integral of an electric field
- Students use a plastic surface model relate the change in potential to the vector line integral $\Delta V = -\int \vec{E}\cdot\vec{dr}$

### Reasons to spend class time on the activity

- Understanding the vector line integral as “Chop Multiply Add” is tricky for students
- Students are surprised when the value of the line integral corresponds to a
*decrease*in the potential.

### Reflections

### Instructor's Guide

### Student Handouts

**Authors:**Liz Gire, Aaron Wangberg, Robyn Wangberg, Paul Emigh, Jonathan Alfson

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