# 18. Magnetic Dipoles

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## Learning Objectives

• To be able to describe what a magnetic dipole is and to be able to calculate the magnetic dipole moment.
• To be able to comprehend and explain when a magnetic dipole in an external magnetic field will feel a force and a torque.

## Preparation

### Course Notes

Read through the course notes.  The course note files may also contain links to associated animations or interactive simulations.

The Magnetic Field (PDF)

## Learning Activities

### Guided Activities

Read through the class slides. They explain all of the concepts from the module.

Slides (PDF)

### Self-Assessment

Do the Concept Questions first to make sure you understand the main concepts from this module. Then, when you are ready, try the Challenge Problems.

### Concept Questions

Concept Questions (PDF)

Solutions (PDF)

### Challenge Problems

Challenge Problems (PDF)

Solutions (PDF)

## Problem Solving Help

Watch the Problem Solving Help video for insights on how to approach and solve problems related to the concepts in this module.

### Problem: Torque on a Current Loop

A rectangular loop of current carrying wire is pivoted on one of its sides. That side is horizontal, along the z-direction. The loop sits in a magnetic field in the y-direction, which is vertical. The wire loop is at an angle θ to the vertical because of the torque due to this vertical magnetic field. What is the magnitude of the magnetic field, in terms of the mass of the loop, the current I in the wire, and the angle θ?

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