Magnetic Field of a Toroid Using Ampere's Law: Difference between revisions

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===A Mathematical Model===
===A Mathematical Model===


What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.
First we start with solving the path integral from Ampere's Law. <math>\vec{B}<math>


===A Computational Model===
===A Computational Model===

Revision as of 21:39, 1 December 2015

Claimed by Kevin McGorrey

This page explains how to use Ampere's Law to solve for the magnetic field of a toroid.

Magnetic Field of a Toroid using Ampere's Law

Using Ampere's Law simplifies finding the magnetic field of a toroid.

Geometry of a Toroid

A toroid is essentially a solenoid whose ends meet. It is shaped like a doughnut (the base shape does not need to be a circle; it can be a triangle, square, quadrilateral, etc.), is symmetrical around an axis of rotation, and contains N loops around a closed, circular path with a radius of r inside of its loop.

A Mathematical Model

First we start with solving the path integral from Ampere's Law. <math>\vec{B}<math>

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

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