Biot-Savart Law: Difference between revisions
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==The Main Idea== | ==The Main Idea== | ||
An electron current flowing through a conductor, such as a wire, | An electron current flowing through a conductor, such as a wire, or a moving electric charge produces a detectable magnetic field. The Biot-Savart law describes this phenomenon by relating the magnetic field to the magnitude, direction, length, and proximity of the electric current. | ||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
The general formula for this is <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. | |||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 04:48, 2 November 2015
The Biot-Savart Law is an equation that describes the quantitative relationship between an electrical current and the magnetic field it generates. Page in progress by Andrea Boyd. [contd]
The Main Idea
An electron current flowing through a conductor, such as a wire, or a moving electric charge produces a detectable magnetic field. The Biot-Savart law describes this phenomenon by relating the magnetic field to the magnitude, direction, length, and proximity of the electric current.
A Mathematical Model
The general formula for this is [math]\displaystyle{ {\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.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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History
In 1820 two Frenchman, Felix Savart and Jean-Baptiste Biot, published Note sur le magnétisme de la pile de Volta and presented it to the Academy of Sciences in what became known as the Biot-Savart Law. Savart had been trained as a medical doctor, but began focusing more on physics rather than patients. He became interested in acoustics, building his own violins and conducting research on sound, and attended a lecture in Paris given by French mathematician, Jean-Baptiste Biot.
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