Content deleted Content added
Added summation formulae Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit |
→Applications: Content rescue Tags: Mobile edit Mobile web edit Advanced mobile edit |
||
Line 197:
Series resistance can also be applied to the arrangement of blood vessels within a given organ. Each organ is supplied by a large artery, smaller arteries, arterioles, capillaries, and veins arranged in series. The total resistance is the sum of the individual resistances, as expressed by the following equation: {{math|1=''R''<sub>total</sub> = ''R''<sub>artery</sub> + ''R''<sub>arterioles</sub> + ''R''<sub>capillaries</sub>}}. The largest proportion of resistance in this series is contributed by the arterioles.<ref name="BRS"/>
Parallel resistance is illustrated by the [[circulatory system]]. Each organ is supplied by an artery that branches off the [[aorta]]. The total resistance of this parallel arrangement is expressed by the following equation: {{math|1=1/''R''<sub>total</sub> = 1/''R''<sub>a</sub> + 1/''R''<sub>b</sub> + ... + 1/''R''<sub>n</sub>}}. {{math|''R''<sub>a</sub>}}, {{math|''R''<sub>b</sub>}}, and {{math|''R''<sub>n</sub>}} are the resistances of the renal, hepatic, and other arteries respectively. The total resistance is less than the resistance of any of the individual arteries.<ref name="BRS"/>
==See also==
* [[Anti-parallel (electronics)]]
* [[Electrical impedance#Combining impedances|Combining impedances]]
* [[Current divider]]
* [[Equivalent impedance transforms]]
* [[Hydraulic analogy]]
* [[Network analysis (electrical circuits)]]
* [[Resistance distance]]
* [[Series-parallel duality]]
* [[Series-parallel partial order]]
* [[Series and parallel springs]]
* [[Topology (electrical circuits)]]
* [[Voltage divider]]
* [[Wheatstone bridge]]
* [[Y-Δ transform]]
==References==
{{Reflist|refs=
<ref name="Resnick_1966">{{cite book |author-last1=Resnick |author-first1=Robert |author-last2=Halliday |author-first2=David |date=1966 |title=Physics |volume=I and II |edition=Combined international |publisher=[[Wiley (publisher)|Wiley]] |lccn=66-11527 |chapter=Chapter 32 |id=Example 1 }}</ref>
<ref name="Smith_1966">{{cite book |author-last=Smith |author-first=R. J. |date=1966 |title=Circuits, Devices and Systems |publisher=[[Wiley (publisher)|Wiley]] |edition=International |___location=New York |lccn=66-17612 |page=21 }}</ref>
<ref name="BRS">{{cite book |series=Board Review Series |title=Physiology |author-first=Linda S. |author-last=Costanzo |page=74 }}</ref>
}}
==Further reading==
* {{cite book |author-last=Williams |author-first=Tim |title=The Circuit Designer's Companion |publisher=[[Butterworth-Heinemann]] |date=2005 |isbn=0-7506-6370-7 }}
* {{cite magazine |url=http://www.edn.com/design/components-and-packaging/4421194/Resistor-combinations--How-many-values-using-1kohm-resistors-- |title=Resistor combinations: How many values using 1K ohm resistors? |magazine=[[EDN magazine]] }}
* {{cite book |chapter-url=https://www.grund-wissen.de/physik/mechanik/festkoerper-fluessigkeiten-gase/fluessigkeiten.html |title=Mechanik der Flüssigkeiten |chapter=Strömungswiderstand |language=de |date=2018-01-04 |author-first=Bernhard |author-last=Grotz }}<!-- analog parallel and serial circuits. Find English source and add to article -->
[[Category:Electrical circuits]]
| |||