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series

 
   
1
(Math.) The sum of a finite or infinite number of terms of a sequence. Summation notation such as ∑{TAG(tag=>sup)}n{TAG}{TAG(tag=>sub)}i=1{TAG} a{TAG(tag=>sub)}i{TAG} and ∑∞{TAG(tag=>sub)}i=1{TAG} a{TAG(tag=>sub)}i{TAG} is used to denote a series; the latter is also used to denote the value of the sum, if the series converges.



2
(Phys.) spectral series.



3
(Phys.) Of two or more electrical components, an arrangement such that the components are connected in a chain (see the diagram). The total resistance of a set of resistors in series is simply the sum of the individual resistances; likewise a set of impedances in a series circuit has a total impedance that is the sum of the individual impedances.

{img src=show_image.php?name=image_19_08.gif }

However, a set of capacitors C{TAG(tag=>sub)}1{TAG}, C{TAG(tag=>sub)}2{TAG}, C{TAG(tag=>sub)}3{TAG}, … in series has a total capacitance of
{img src=show_image.php?name=image_19_09.gif }

Compare parallel (4).
 

 

 

 
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Other Terms : Paschen-Back effect | Cauchy-Schwarz inequality | centre of pressure

 

 

 
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