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.
:<math>\oint_C \mathbf{B} \cdot \mathrm{d}\boldsymbol{\ell} = \mu_0 \iint_S \mathbf{J} \cdot \mathrm{d}\mathbf{S} = \mu_0I_\mathrm{enc}</math>


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

Revision as of 18:47, 2 December 2015

To be continued by David Kennedy (dkennedy34)--Dkennedy34 (talk) 18:01, 2 December 2015 (EST)


A much easier version of the Biot-Savart law that is useful for calculating the magnetic field within a closed path not a surface. This equation relates the magnetic field and the current to one another. Complete understanding of this topic makes other topics such as the nature of light easier to comprehend.

The Main Idea

State, in your own words, the main idea for this topic Electric Field of Capacitor

A Mathematical Model

[math]\displaystyle{ \oint_C \mathbf{B} \cdot \mathrm{d}\boldsymbol{\ell} = \mu_0 \iint_S \mathbf{J} \cdot \mathrm{d}\mathbf{S} = \mu_0I_\mathrm{enc} }[/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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References

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Section 22.6 PATTERNS OF MAGNETIC FIELD: AMPERE'S LAW pg. 914- 920