Hall Effect
Claimed by Katherine Freesemann
Short Description of Topic
The Main Idea
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ \vec{F}_{magnetic}= \vec{F}_{electricperpendicular} }[/math] where F_magnetic is the force on the mobile charge by the magnetic field and F_electricperpendicular is the force the mobile charge experiences that is caused by the polarization of the metal.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Question: A metal slab is connected to a battery by two wires. Conventional current flows clockwise and the mobile charge in the block is positive. The block also experiences a magnetic field out of the page. The slab is also connected to a voltmeter.The positive end of the voltmeter is connected to the bottom of the block and the negative end of the voltmeter is connected to the top of the block. See attached photo for a diagram.
Answer: In order to determine this, we must determine what direction the magnetic force is. In this case, since magnetic force is qv X B, the magnetic force points up. This means that the mobile charges (positive) will be pushed towards the top of the block and the negative charge will be at the bottom of the block, so that the block will remain neutrally charged. Remember: a voltmeter will have a positive reading if the positive end is connected to the part with the larger potential. In this case, the larger potential is at the top because that is where the positive charge is, but the negative end of the voltmeter is connected there. The voltmeter will have a negative reading.
Middling
Difficult
Connectedness
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History
The Hall Effect was discovered in 1879 by Edwin Herbert Hall while he was attending Johns Hopkins University for his Doctoral Degree. He exposed a gold leaf (metal slab) to a magnetic field perpendicular to its surface and had current flow through the slab. He observed a potential (delta V) perpendicular to the current and also the magnetic field. This means that potential is observed not only in the direction of current flow like usual. This is what led to Hall's discovery o the Hall Effect.
See also
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Further reading
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