"प्रेरकत्व" के अवतरणों में अंतर

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प्रेरक को अनुप्रेषित
छो (r2.7.1) (Robot: Adding ia:Inductor)
(प्रेरक को अनुप्रेषित)
#redirect [[प्रेरक]]
{{आधार}}
[[चित्र:Inductors-photo.JPG|300px|right|thumb|कुछ छोटे आकार-प्रकार के प्रेरकत्व]]
[[चित्र:Choke electronic component Epcos 2x47mH 600mA common mode.jpg|right|thumb|300px|अपेक्षाकृत बड़ा प्रेरकत्व जो पावर सप्लाइयों में प्रयुक्त होते हैं।]]
'''प्रेरकत्व''' (inductor or a reactor) एक वैद्युत अवयव है जिसमें कोई विद्युत धारा प्रवाहित करने पर यह [[चुम्बकीय क्षेत्र]] के रूप में [[उर्जा]] का भंडारण करता है। प्रेरकत्व द्वारा चुम्बकीय उर्जा के भंडारण की क्षमता को इसका प्रेरकत्व (inductance) कहा जाता है और इसे मापने की इकाई [[हेनरी]] है।
 
==उपयोग==
* वैद्युत फिल्टर बनाने के लिये
* उर्जा भंडारित करने के लिये ( E = L.I<sup>2</sup>/2 )
* इम्पीडैंस मैचिंग के लिये
* ट्यूबलाइट आदि को जलाने के लिये आरम्भ में हजारों वोल्ट पैदा करने एवं जलने के बाद उससे बहने वाली धारा को सीमित रखने के लिये।
* पुरानी कारों एवं स्कूटरों आदि में स्पार्क पैदा करने के लिये (इग्नीशन क्वायल)
 
==प्रेरकत्व गणना के लिये सूत्र==
 
{| class="wikitable"
! संरचना
! सूत्र
! प्रतीकों के अर्थ
| टिप्पणी
|-
! Cylindrical air-core coil<ref name=Nagaoka>{{cite journal|last=Nagaoka|first=Hantaro|authorlink=Hantaro Nagaoka|title=The Inductance Coefficients of Solenoids [http://www.g3ynh.info/zdocs/refs/Nagaoka1909/index.html#31]|publisher=Journal of the College of Science, Imperial University, Tokyo, Japan|page=18|volume=27|date=1909-05-06}}</ref>
| <math>L=\frac{\mu_0KN^2A}{l}</math>
|
*''L'' = inductance in [[Henry (unit)|henries]] (H)
*''μ<sub>0</sub>'' = [[permeability of free space]] = 4''<math>\pi</math>'' × 10<sup>−7</sup> H/m
*''K'' = Nagaoka coefficient<ref name=Nagaoka/>
*''N'' = number of turns
*''A'' = area of cross-section of the coil in [[square metre]]s (m<sup>2</sup>)
*''l'' = length of coil in metres (m)
|
|-
! rowspan="3"|Straight wire conductor <ref>[http://www.g3ynh.info/zdocs/refs/Rosa1908/index.html The Self and Mutual Inductances of Linear Conductors, By Edward B. Rosa, Bulletin of the Bureau of Standards, Vol.4, No.2, 1908, p301-344]</ref>
| <math>L = \frac{\mu_{0}}{2\pi}\left[l\ln\frac{l+\sqrt{l^{2}+c^{2}}}{c}-\sqrt{l^{2}+c^{2}} + c \right]</math>
<br /> <math> + \frac{\mu}{2\pi} o\left(\frac{l}{4+c\sqrt{\frac{2\omega\mu}{\rho}}}\right)</math>
|
*''L'' = inductance
*''l'' = cylinder length
*''c'' = cylinder radius
*''μ''<sub>0</sub> = vacuum permeability = <math>4\pi</math> nH/cm
*''μ'' = conductor permeability
*''p'' = resistivity
*''ω'' = phase rate
| exact if ω = 0 or ω = ∞
|-
| <math>L = 0.2 l\left(\ln\frac{4l}{d}-1\right)</math> -0+3%
|
*''L'' = inductance (µH)
*''l'' = length of conductor (mm)
*''d'' = diameter of conductor (mm)
*''f'' = frequency
|
* Cu or Al
* ''l'' > 100 ''d''
* ''d''<sup>2</sup> ''f'' > 1&nbsp;mm<sup>2</sup> MHz
|-
| <math>L = 0.2 l\left(\ln\frac{4l}{d}-\frac{3}{4}\right)</math> +0-3%
|
*''L'' = inductance (µH)
*''l'' = length of conductor (mm)
*''d'' = diameter of conductor (mm)
*''f'' = frequency
|
* Cu or Al
* ''l'' > 100 ''d''
* ''d''<sup>2</sup> ''f'' < 1&nbsp;mm<sup>2</sup> MHz
|-
! Short air-core cylindrical coil<ref>ARRL Handbook, 66th Ed. American Radio Relay League (1989).</ref>
| <math>L=\frac{r^2N^2}{9r+10l}</math>
|
*''L'' = inductance (µH)
*''r'' = outer radius of coil (in)
*''l'' = length of coil (in)
*''N'' = number of turns
|-
! Multilayer air-core coil{{Citation needed|date=November 2010}}
| <math>L = \frac{0.8r^2N^2}{6r+9l+10d}</math>
|
*''L'' = inductance (µH)
*''r'' = mean radius of coil (in)
*''l'' = physical length of coil winding (in)
*''N'' = number of turns
*''d'' = depth of coil (outer radius minus inner radius) (in)
|-
! rowspan="2"|Flat spiral air-core coil{{Citation needed|date=November 2010}}
| <math>L=\frac{r^2N^2}{(20r+28d)}</math>
|
*''L'' = inductance (µH)
*''r'' = mean radius of coil (cm)
*''N'' = number of turns
*''d'' = depth of coil (outer radius minus inner radius) (cm)
|-
| <math>L=\frac{r^2N^2}{8r+11d}</math>
|
*''L'' = inductance (µH)
*''r'' = mean radius of coil (in)
*''N'' = number of turns
*''d'' = depth of coil (outer radius minus inner radius) (in)
|-
! Toroidal core (circular cross-section){{Citation needed|date=November 2010}}
| <math>L=\mu_0\mu_r\frac{r^2N^2}{D}</math>
|
*''L'' = inductance (H)
*''μ<sub>0</sub>'' = [[Permeability (electromagnetism)|permeability]] of [[vacuum|free space]] = 4''<math>\pi</math>'' × 10<sup>−7</sup> H/m
*''μ<sub>r</sub>'' = relative permeability of core material
*''r'' = radius of coil winding (m)
*''N'' = number of turns
*''D'' = overall diameter of toroid (m)
|}
 
==सन्दर्भ==
{{reflist}}
 
==बाहरी कड़ियाँ==
* [http://electronics.howstuffworks.com/inductor1.htm How stuff works] The initial concept, made very simple
* [http://www.lightandmatter.com/html_books/4em/ch07/ch07.html Capacitance and Inductance] - A chapter from an online textbook
* [http://www.mpdigest.com/issue/Articles/2005/aug2005/agilent/Default.asp Spiral inductor models]. Article on inductor characteristics and modeling.
* [http://www.66pacific.com/calculators/coil_calc.aspx Online coil inductance calculator]. Online calculator calculates the inductance of conventional and toroidal coils using formulas 3, 4, 5, and 6, above.
* [http://www.phys.unsw.edu.au/~jw/AC.html AC circuits]
* [http://www.mikroe.com/en/books/keu/03.htm Understanding coils and transforms]
 
[[श्रेणी:विद्युतचुम्बकीय अवयव]]
[[श्रेणी:उर्जा भंडारण]]
 
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[[tt:Индуктивлык кәтүге]]
[[uk:Котушка індуктивності]]
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