Transformers (Circuits): Difference between revisions
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A transformer makes use of Faraday's law and the ferromagnetic properties of an iron core to efficiently raise or lower AC voltages. It cannot increase power so that if the voltage is raised, the current is proportionally lowered and vice versa. | |||
==The Main Idea== | ==The Main Idea== | ||
From Faraday's law as well as conservation of energy we see that an ideal transformer the voltage ratio is equal to the turns ratio, and power in equals power out. Transformers uses both of these to convert from either high to low or low to high voltages. | |||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
For a "step-down" transformer: | |||
If a solenoid is built wrapping {N}_{1} turns around a hollow cylinder for the primary coil, and wrapping {N}_{2} turns around the outside of the secondary coil, and then connecting the primary coil to a an AC power supply, the emf that will develop in the secondary coil will be as follows: | |||
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. | 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. | ||
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==References== | ==References== | ||
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html | |||
[[Category:Which Category did you place this in?]] | [[Category:Which Category did you place this in?]] | ||
Revision as of 14:35, 1 December 2015
claimed by vrivero3
A transformer makes use of Faraday's law and the ferromagnetic properties of an iron core to efficiently raise or lower AC voltages. It cannot increase power so that if the voltage is raised, the current is proportionally lowered and vice versa.
The Main Idea
From Faraday's law as well as conservation of energy we see that an ideal transformer the voltage ratio is equal to the turns ratio, and power in equals power out. Transformers uses both of these to convert from either high to low or low to high voltages.
A Mathematical Model
For a "step-down" transformer:
If a solenoid is built wrapping {N}_{1} turns around a hollow cylinder for the primary coil, and wrapping {N}_{2} turns around the outside of the secondary coil, and then connecting the primary coil to a an AC power supply, the emf that will develop in the secondary coil will be as follows:
What are the mathematical equations that allow us to model this topic. For example [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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Simple
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
History
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See also
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Further reading
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External links
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References
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html