Electrical Resistance: Difference between revisions
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
Resistance is often expressed in the following form <math>R = \frac{\rho L}{A} </math> | Resistance is often expressed in the following form <math>R = \frac{\rho L}{A} </math> where R is the resistance <math>\rho</math> is the resistivity L is the length and A is the cross-sectional area. | ||
In a circuit the Electrical Resistance is often calculated as <math>R = \frac{|\Delta V|}{I} </math> Often written <math>I = \frac{|\Delta V|}{R} </math> where '''V''' is the voltage and '''I''' is the current and '''R''' is the resistance. In these equations voltage and resistance are independent variables and Current is the dependant variable. | In a circuit the Electrical Resistance is often calculated as <math>R = \frac{|\Delta V|}{I} </math> Often written <math>I = \frac{|\Delta V|}{R} </math> where '''V''' is the voltage and '''I''' is the current and '''R''' is the resistance. In these equations voltage and resistance are independent variables and Current is the dependant variable. | ||
Revision as of 23:26, 1 December 2015
Electrical Resistance is the measure of how difficult it is for a current to pass through a conductor.
This quantity often measured in ohms [math]\displaystyle{ \Omega(\frac{Volts}{Amps}) }[/math] is used to determine the amount of current that will pass through a circuit. Resistance itself is dependent on a variety of factors including material, shape, and temperature. In most applications the resistance of a wire is assumed to be zero.
The Main Idea
State, in your own words, the main idea for this topic Electric Field of Capacitor
A Mathematical Model
Resistance is often expressed in the following form [math]\displaystyle{ R = \frac{\rho L}{A} }[/math] where R is the resistance [math]\displaystyle{ \rho }[/math] is the resistivity L is the length and A is the cross-sectional area.
In a circuit the Electrical Resistance is often calculated as [math]\displaystyle{ R = \frac{|\Delta V|}{I} }[/math] Often written [math]\displaystyle{ I = \frac{|\Delta V|}{R} }[/math] where V is the voltage and I is the current and R is the resistance. In these equations voltage and resistance are independent variables and Current is the dependant variable.
Water Analogy
Electrical Resistance in a particular material is often compared to a pipes of varying diameter. The larger the pipe the easier it is for water to get through. This is equivalent to lower resistance in electricity.
Resistivity of Materials
Every conductor has a natural resistivity that it relatively consistent at a given temperature
Temperature
Examples
3 examples of potential problems involving resistance.
Simple
Middling
Difficult
Connectedness
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- 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
Helpful Links
1. http://hyperphysics.phy-astr.gsu.edu/hbase/electric/resis.html
2. http://www.britannica.com/technology/resistance-electronics
3. http://www.cleanroom.byu.edu/Resistivities.phtml
4. http://www.nist.gov/data/PDFfiles/jpcrd155.pdf
5. http://www.regentsprep.org/Regents/physics/phys03/bresist/default.htm
Helpful Videos
1. https://www.youtube.com/watch?v=-PJcj1TCf_g
2. https://www.youtube.com/watch?v=J4Vq-xHqUo8
References
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