"प्रेरकत्व": अवतरणों में अंतर
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AvocatoBot (वार्ता | योगदान) छो r2.7.1) (Robot: Adding ia:Inductor |
अनुनाद सिंह (वार्ता | योगदान) प्रेरक को अनुप्रेषित |
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#redirect [[प्रेरक]] |
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{{आधार}} |
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[[चित्र:Inductors-photo.JPG|300px|right|thumb|कुछ छोटे आकार-प्रकार के प्रेरकत्व]] |
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[[चित्र:Choke electronic component Epcos 2x47mH 600mA common mode.jpg|right|thumb|300px|अपेक्षाकृत बड़ा प्रेरकत्व जो पावर सप्लाइयों में प्रयुक्त होते हैं।]] |
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'''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। |
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==उपयोग== |
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* वैद्युत फिल्टर बनाने के लिये |
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* उर्जा भंडारित करने के लिये ( E = L.I<sup>2</sup>/2 ) |
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* इम्पीडैंस मैचिंग के लिये |
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* 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। |
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* पुरानी कारों एवं स्कूटरों आदि में स्पार्क पैदा करने के लिये (इग्नीशन क्वायल) |
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==प्रेरकत्व गणना के लिये सूत्र== |
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{| class="wikitable" |
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! संरचना |
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! सूत्र |
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! प्रतीकों के अर्थ |
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| टिप्पणी |
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|- |
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! 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> |
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| <math>L=\frac{\mu_0KN^2A}{l}</math> |
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| |
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*''L'' = inductance in [[Henry (unit)|henries]] (H) |
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*''μ<sub>0</sub>'' = [[permeability of free space]] = 4''<math>\pi</math>'' × 10<sup>−7</sup> H/m |
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*''K'' = Nagaoka coefficient<ref name=Nagaoka/> |
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*''N'' = number of turns |
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*''A'' = area of cross-section of the coil in [[square metre]]s (m<sup>2</sup>) |
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*''l'' = length of coil in metres (m) |
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| |
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|- |
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! 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> |
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| <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> |
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<br /> <math> + \frac{\mu}{2\pi} o\left(\frac{l}{4+c\sqrt{\frac{2\omega\mu}{\rho}}}\right)</math> |
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| |
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*''L'' = inductance |
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*''l'' = cylinder length |
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*''c'' = cylinder radius |
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*''μ''<sub>0</sub> = vacuum permeability = <math>4\pi</math> nH/cm |
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*''μ'' = conductor permeability |
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*''p'' = resistivity |
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*''ω'' = phase rate |
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| exact if ω = 0 or ω = ∞ |
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|- |
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| <math>L = 0.2 l\left(\ln\frac{4l}{d}-1\right)</math> -0+3% |
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| |
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*''L'' = inductance (µH) |
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*''l'' = length of conductor (mm) |
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*''d'' = diameter of conductor (mm) |
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*''f'' = frequency |
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| |
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* Cu or Al |
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* ''l'' > 100 ''d'' |
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* ''d''<sup>2</sup> ''f'' > 1 mm<sup>2</sup> MHz |
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|- |
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| <math>L = 0.2 l\left(\ln\frac{4l}{d}-\frac{3}{4}\right)</math> +0-3% |
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| |
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*''L'' = inductance (µH) |
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*''l'' = length of conductor (mm) |
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*''d'' = diameter of conductor (mm) |
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*''f'' = frequency |
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| |
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* Cu or Al |
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* ''l'' > 100 ''d'' |
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* ''d''<sup>2</sup> ''f'' < 1 mm<sup>2</sup> MHz |
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|- |
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! Short air-core cylindrical coil<ref>ARRL Handbook, 66th Ed. American Radio Relay League (1989).</ref> |
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| <math>L=\frac{r^2N^2}{9r+10l}</math> |
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| |
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*''L'' = inductance (µH) |
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*''r'' = outer radius of coil (in) |
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*''l'' = length of coil (in) |
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*''N'' = number of turns |
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|- |
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! Multilayer air-core coil{{Citation needed|date=November 2010}} |
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| <math>L = \frac{0.8r^2N^2}{6r+9l+10d}</math> |
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| |
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*''L'' = inductance (µH) |
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*''r'' = mean radius of coil (in) |
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*''l'' = physical length of coil winding (in) |
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*''N'' = number of turns |
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*''d'' = depth of coil (outer radius minus inner radius) (in) |
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|- |
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! rowspan="2"|Flat spiral air-core coil{{Citation needed|date=November 2010}} |
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| <math>L=\frac{r^2N^2}{(20r+28d)}</math> |
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| |
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*''L'' = inductance (µH) |
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*''r'' = mean radius of coil (cm) |
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*''N'' = number of turns |
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*''d'' = depth of coil (outer radius minus inner radius) (cm) |
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|- |
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| <math>L=\frac{r^2N^2}{8r+11d}</math> |
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| |
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*''L'' = inductance (µH) |
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*''r'' = mean radius of coil (in) |
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*''N'' = number of turns |
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*''d'' = depth of coil (outer radius minus inner radius) (in) |
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|- |
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! Toroidal core (circular cross-section){{Citation needed|date=November 2010}} |
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| <math>L=\mu_0\mu_r\frac{r^2N^2}{D}</math> |
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| |
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*''L'' = inductance (H) |
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*''μ<sub>0</sub>'' = [[Permeability (electromagnetism)|permeability]] of [[vacuum|free space]] = 4''<math>\pi</math>'' × 10<sup>−7</sup> H/m |
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*''μ<sub>r</sub>'' = relative permeability of core material |
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*''r'' = radius of coil winding (m) |
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*''N'' = number of turns |
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*''D'' = overall diameter of toroid (m) |
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|} |
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==सन्दर्भ== |
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{{reflist}} |
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==बाहरी कड़ियाँ== |
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* [http://electronics.howstuffworks.com/inductor1.htm How stuff works] The initial concept, made very simple |
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* [http://www.lightandmatter.com/html_books/4em/ch07/ch07.html Capacitance and Inductance] - A chapter from an online textbook |
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* [http://www.mpdigest.com/issue/Articles/2005/aug2005/agilent/Default.asp Spiral inductor models]. Article on inductor characteristics and modeling. |
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* [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. |
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* [http://www.phys.unsw.edu.au/~jw/AC.html AC circuits] |
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* [http://www.mikroe.com/en/books/keu/03.htm Understanding coils and transforms] |
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[[श्रेणी:विद्युतचुम्बकीय अवयव]] |
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[[श्रेणी:उर्जा भंडारण]] |
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[[af:Induktor]] |
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[[am:ኢንዳክተር]] |
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[[an:Inductor]] |
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[[ar:مستحث]] |
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[[be:Шпуля індуктыўнасці]] |
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[[be-x-old:Шпуля індуктыўнасьці]] |
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[[bg:Бобина]] |
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[[bn:আবেশক]] |
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[[bs:Zavojnica]] |
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[[ca:Inductor]] |
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[[cs:Cívka]] |
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[[da:Elektrisk spole]] |
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[[de:Spule (Elektrotechnik)]] |
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[[el:Πηνίο]] |
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[[en:Inductor]] |
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[[eo:Induktilo]] |
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[[es:Inductor]] |
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[[et:Induktiivpool]] |
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[[eu:Haril]] |
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[[fa:القاگر]] |
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[[fi:Kela (komponentti)]] |
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[[fr:Bobine (électricité)]] |
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[[he:סליל השראה]] |
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[[hr:Električna zavojnica]] |
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[[hu:Tekercs (elektronika)]] |
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[[ia:Inductor]] |
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[[id:Induktor]] |
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[[io:Induktoro]] |
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[[is:Spanspóla]] |
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[[it:Induttore]] |
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[[ja:インダクタ]] |
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[[ko:코일]] |
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[[la:Inductorium]] |
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[[lv:Induktivitātes spole]] |
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[[ml:ഇൻഡക്റ്റർ]] |
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[[mn:Индукцийн ороомог]] |
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[[mr:विद्युतप्रवर्तक]] |
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[[ms:Peraruh]] |
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[[new:इन्डक्टर]] |
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[[nl:Spoel]] |
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[[nn:Spole]] |
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[[no:Spole (induktans)]] |
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[[oc:Inductor]] |
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[[pl:Cewka]] |
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[[pnb:انڈکٹر]] |
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[[pt:Indutor]] |
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[[qu:Pinchikilla kurur]] |
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[[ro:Bobină]] |
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[[ru:Катушка индуктивности]] |
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[[scn:Ruccheddu]] |
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[[sh:Induktor]] |
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[[simple:Inductor]] |
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[[sk:Cievka (elektrotechnika)]] |
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[[sl:Dušilka]] |
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[[sq:Induktori]] |
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[[sr:Пригушница]] |
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[[stq:Spoulen]] |
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[[sv:Spole]] |
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[[ta:மின்தூண்டி]] |
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[[tr:İndüktör]] |
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[[tt:Индуктивлык кәтүге]] |
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[[uk:Котушка індуктивності]] |
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[[vi:Cuộn cảm]] |
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[[war:Inductor]] |
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[[wo:Xiirtalukaay]] |
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[[zh:电感元件]] |
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07:40, 25 जून 2012 का अवतरण
अनुप्रेषण का लक्ष्य: