Magnetic Fields and Forces

Module Overview

In this module, magnetic forces and fields are studied. The sequence of the discussions is magnetic forces on charge and on current wire, then magnetic field computations using Biot-Savart law, and followed by the introduction of Ampere’s law. In terms of the techniques for calculating magnetic field strength, the emphasis is on applications of Ampere’s law. Magnetic field in and around a straight current wire, magnetic field at the center of a circular current wire, and magnetic field inside a solenoid are carefully analyzed in this module.

Introduction

The theme of this module is magnetism. The module begins with a brief review of commonly occurring phenomena attributable to magnetism. Then a discussion about the effects of magnetic field on charges and currents, and the vector cross product (aka the right-hand rule) is introduced in this context.  Biot-Savart law is followed in the development of the magnetic field strength around a straight current, as well as at the center of a current loop. This derivation work demonstrates the usefulness of Biot-Savart law, at the same time its tedious side, which is a perfect jumping-off point to talk about Ampere’s law next. The focus of the last few units of the module is on applications of Ampere’s law.

This module consists of a sequence of 9 videos with 2 step-by-step solved examples and 6 self-assessment questions. It is expected that the course instructor, will supplement the module with additional questions and possibly one laboratory exercise.

Prerequisites

Before starting this module, it will be helpful to be familiar with:

  • magnets,
  • Electric current,
  • Cross product of two vectors.

Learning Outcomes

  • Recognize basic magnetic phenomena and how magnets interact with each other
  • Be able to distinguish magnetic field lines from electric field lines
  • Understand the right-hand rule in the context of magnetic forces and fields acting on charged particles and currents
  • Use Ampere’s law to calculate the magnetic fields of current distribution with a high degree of symmetry

Explore Module

Please note that this preview is intended for exploration purposes only. If you'd like to use this module in one of your courses, to ensure playback and tracking, you must upload the SCORM package (downloadable below) to your institution's Learning Management System (ex. Blackboard, D2L, Moodle, etc).

Related Project Resources

TypeTitleAuthorDescription
FileElectromagnetic Force Example
(PDF, 86.92 KB)
Prof. Belinda WangA step-by-step example is intended to show learners how to apply concepts taught in the lecture videos to analyze and solve problems.
FileMagnetic Fields and Forces - MCQ (Quiz)
(PDF, 95.49 KB)
Prof. Belinda WangThe multiple choice question is intended for self-assessment of leaner’s conceptual understanding of the module content.
FileGlossary
(PDF, 142.59 KB)
Prof. Belinda WangThis glossary contains definitions for the modules: Electric Charges and Forces, Electric Fields, Electric Potential and Potential Energy, Capacitance and Capacitor, Magnetic Fields and Forces, and Electromagnetic Induction.
VideoMagnetic Fields and Forces - IntroductionProf. Belinda Wang
VideoMagnetismProf. Belinda WangA brief review of magnetic phenomena.
VideoMagnetic Force on ChargeProf. Belinda WangA discussion of force acting on moving charge due to magnetic field
VideoMagnetic Force on WireProf. Belinda WangA discussion of force acting on a current wire due to magnetic field
VideoMagnetic Field - Biot Savart LawProf. Belinda WangApplication of Biot-Savart law on a straight current wire
VideoMagnetic Field-Current LoopProf. Belinda WangApplication of Biot-Savart law on a circular current wire
VideoAmpere's LawProf. Belinda WangAmpere's law is introduced in this video
VideoAmpere's Law - SolenoidProf. Belinda WangApplication of Ampere's law on a solenoid
VideoAmpere's Law Example
(PDF, 72.72 KB)
Prof. Belinda WangA step-by-step example is intended to show learners how to apply concepts taught in the lecture videos to analyze and solve problems.