"प्रेरक": अवतरणों में अंतर

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पंक्ति 5: पंक्ति 5:
प्रेरक को साधारण भाषा में 'चोक' (choke) और 'कुण्डली' (coil) भी कहते हैं।
प्रेरक को साधारण भाषा में 'चोक' (choke) और 'कुण्डली' (coil) भी कहते हैं।


==उपयोग==
== उपयोग ==
* [[विद्युत फिल्टर|वैद्युत फिल्टर]] बनाने के लिये
* [[विद्युत फिल्टर|वैद्युत फिल्टर]] बनाने के लिये
* उर्जा भंडारित करने के लिये ( E = L.I<sup>2</sup>/2 )
* उर्जा भंडारित करने के लिये ( E = L.I<sup>2</sup>/2 )
पंक्ति 12: पंक्ति 12:
* पुरानी कारों एवं स्कूटरों आदि में स्पार्क पैदा करने के लिये (इग्नीशन क्वायल)
* पुरानी कारों एवं स्कूटरों आदि में स्पार्क पैदा करने के लिये (इग्नीशन क्वायल)


==प्रेरकत्व गणना के लिये सूत्र==
== प्रेरकत्व गणना के लिये सूत्र ==


{| class="wikitable"
{| class="wikitable"
पंक्ति 23: पंक्ति 23:
| <math>L=\frac{\mu_0KN^2A}{l}</math>
| <math>L=\frac{\mu_0KN^2A}{l}</math>
|
|
*''L'' = inductance in [[Henry (unit)|henries]] (H)
* ''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
* ''μ<sub>0</sub>'' = [[permeability of free space]] = 4''<math>\pi</math>'' × 10<sup>−7</sup> H/m
*''K'' = Nagaoka coefficient<ref name=Nagaoka/>
* ''K'' = Nagaoka coefficient<ref name=Nagaoka/>
*''N'' = number of turns
* ''N'' = number of turns
*''A'' = area of cross-section of the coil in [[square metre]]s (m<sup>2</sup>)
* ''A'' = area of cross-section of the coil in [[square metre]]s (m<sup>2</sup>)
*''l'' = length of coil in metres (m)
* ''l'' = length of coil in metres (m)
|
|
|-
|-
पंक्ति 35: पंक्ति 35:
<br /> <math> + \frac{\mu}{2\pi} o\left(\frac{l}{4+c\sqrt{\frac{2\omega\mu}{\rho}}}\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'' = inductance
*''l'' = cylinder length
* ''l'' = cylinder length
*''c'' = cylinder radius
* ''c'' = cylinder radius
*''μ''<sub>0</sub> = vacuum permeability = <math>4\pi</math> nH/cm
* ''μ''<sub>0</sub> = vacuum permeability = <math>4\pi</math> nH/cm
*''μ'' = conductor permeability
* ''μ'' = conductor permeability
*''p'' = resistivity
* ''p'' = resistivity
*''ω'' = phase rate
* ''ω'' = phase rate
| exact if ω = 0 or ω = ∞
| exact if ω = 0 or ω = ∞
|-
|-
| <math>L = 0.2 l\left(\ln\frac{4l}{d}-1\right)</math> -0+3%
| <math>L = 0.2 l\left(\ln\frac{4l}{d}-1\right)</math> -0+3%
|
|
*''L'' = inductance (µH)
* ''L'' = inductance (µH)
*''l'' = length of conductor (mm)
* ''l'' = length of conductor (mm)
*''d'' = diameter of conductor (mm)
* ''d'' = diameter of conductor (mm)
*''f'' = frequency
* ''f'' = frequency
|
|
* Cu or Al
* Cu or Al
पंक्ति 57: पंक्ति 57:
| <math>L = 0.2 l\left(\ln\frac{4l}{d}-\frac{3}{4}\right)</math> +0-3%
| <math>L = 0.2 l\left(\ln\frac{4l}{d}-\frac{3}{4}\right)</math> +0-3%
|
|
*''L'' = inductance (µH)
* ''L'' = inductance (µH)
*''l'' = length of conductor (mm)
* ''l'' = length of conductor (mm)
*''d'' = diameter of conductor (mm)
* ''d'' = diameter of conductor (mm)
*''f'' = frequency
* ''f'' = frequency
|
|
* Cu or Al
* Cu or Al
पंक्ति 69: पंक्ति 69:
| <math>L=\frac{r^2N^2}{9r+10l}</math>
| <math>L=\frac{r^2N^2}{9r+10l}</math>
|
|
*''L'' = inductance (µH)
* ''L'' = inductance (µH)
*''r'' = outer radius of coil (in)
* ''r'' = outer radius of coil (in)
*''l'' = length of coil (in)
* ''l'' = length of coil (in)
*''N'' = number of turns
* ''N'' = number of turns
|-
|-
! Multilayer air-core coil{{Citation needed|date=November 2010}}
! Multilayer air-core coil{{Citation needed|date=November 2010}}
| <math>L = \frac{0.8r^2N^2}{6r+9l+10d}</math>
| <math>L = \frac{0.8r^2N^2}{6r+9l+10d}</math>
|
|
*''L'' = inductance (µH)
* ''L'' = inductance (µH)
*''r'' = mean radius of coil (in)
* ''r'' = mean radius of coil (in)
*''l'' = physical length of coil winding (in)
* ''l'' = physical length of coil winding (in)
*''N'' = number of turns
* ''N'' = number of turns
*''d'' = depth of coil (outer radius minus inner radius) (in)
* ''d'' = depth of coil (outer radius minus inner radius) (in)
|-
|-
! rowspan="2"|Flat spiral air-core coil{{Citation needed|date=November 2010}}
! rowspan="2"|Flat spiral air-core coil{{Citation needed|date=November 2010}}
| <math>L=\frac{r^2N^2}{(20r+28d)}</math>
| <math>L=\frac{r^2N^2}{(20r+28d)}</math>
|
|
*''L'' = inductance (µH)
* ''L'' = inductance (µH)
*''r'' = mean radius of coil (cm)
* ''r'' = mean radius of coil (cm)
*''N'' = number of turns
* ''N'' = number of turns
*''d'' = depth of coil (outer radius minus inner radius) (cm)
* ''d'' = depth of coil (outer radius minus inner radius) (cm)
|-
|-
| <math>L=\frac{r^2N^2}{8r+11d}</math>
| <math>L=\frac{r^2N^2}{8r+11d}</math>
|
|
*''L'' = inductance (µH)
* ''L'' = inductance (µH)
*''r'' = mean radius of coil (in)
* ''r'' = mean radius of coil (in)
*''N'' = number of turns
* ''N'' = number of turns
*''d'' = depth of coil (outer radius minus inner radius) (in)
* ''d'' = depth of coil (outer radius minus inner radius) (in)
|-
|-
! Toroidal core (circular cross-section){{Citation needed|date=November 2010}}
! Toroidal core (circular cross-section){{Citation needed|date=November 2010}}
| <math>L=\mu_0\mu_r\frac{r^2N^2}{D}</math>
| <math>L=\mu_0\mu_r\frac{r^2N^2}{D}</math>
|
|
*''L'' = inductance (H)
* ''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>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
* ''μ<sub>r</sub>'' = relative permeability of core material
*''r'' = radius of coil winding (m)
* ''r'' = radius of coil winding (m)
*''N'' = number of turns
* ''N'' = number of turns
*''D'' = overall diameter of toroid (m)
* ''D'' = overall diameter of toroid (m)
|}
|}


==सन्दर्भ==
== सन्दर्भ ==
{{reflist}}
{{reflist}}


==बाहरी कड़ियाँ==
== बाहरी कड़ियाँ ==
* [http://electronics.howstuffworks.com/inductor1.htm How stuff works] The initial concept, made very simple
* [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.lightandmatter.com/html_books/4em/ch07/ch07.html Capacitance and Inductance] - A chapter from an online textbook
पंक्ति 121: पंक्ति 121:


{{भौतिकी-आधार}}
{{भौतिकी-आधार}}

[[श्रेणी:विद्युतचुम्बकीय अवयव]]
[[श्रेणी:विद्युतचुम्बकीय अवयव]]
[[श्रेणी:उर्जा भंडारण]]
[[श्रेणी:उर्जा भंडारण]]

15:44, 15 फ़रवरी 2013 का अवतरण

कुछ छोटे आकार-प्रकार के प्रेरकत्व
अपेक्षाकृत बड़ा प्रेरकत्व जो पावर सप्लाइयों में प्रयुक्त होते हैं।

प्रेरक (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। प्रेरक द्वारा चुम्बकीय उर्जा के भंडारण की क्षमता को इसका प्रेरकत्व (inductance) कहा जाता है और इसे मापने की इकाई हेनरी है।

प्रेरक को साधारण भाषा में 'चोक' (choke) और 'कुण्डली' (coil) भी कहते हैं।

उपयोग

  • वैद्युत फिल्टर बनाने के लिये
  • उर्जा भंडारित करने के लिये ( E = L.I2/2 )
  • 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

संरचना सूत्र प्रतीकों के अर्थ टिप्पणी
बेलनाकार वायु-कोर प्रेरक[1]
Straight wire conductor [2]


  • L = inductance
  • l = cylinder length
  • c = cylinder radius
  • μ0 = vacuum permeability = nH/cm
  • μ = conductor permeability
  • p = resistivity
  • ω = phase rate
exact if ω = 0 or ω = ∞
-0+3%
  • L = inductance (µH)
  • l = length of conductor (mm)
  • d = diameter of conductor (mm)
  • f = frequency
  • Cu or Al
  • l > 100 d
  • d2 f > 1 mm2 MHz
+0-3%
  • L = inductance (µH)
  • l = length of conductor (mm)
  • d = diameter of conductor (mm)
  • f = frequency
  • Cu or Al
  • l > 100 d
  • d2 f < 1 mm2 MHz
वायु-क्रोड लघु बेलनाकार कुण्डली[3]
  • L = inductance (µH)
  • r = outer radius of coil (in)
  • l = length of coil (in)
  • N = number of turns
Multilayer air-core coil[उद्धरण चाहिए]
  • 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)
Flat spiral air-core coil[उद्धरण चाहिए]
  • L = inductance (µH)
  • r = mean radius of coil (cm)
  • N = number of turns
  • d = depth of coil (outer radius minus inner radius) (cm)
  • 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)[उद्धरण चाहिए]
  • L = inductance (H)
  • μ0 = permeability of free space = 4 × 10−7 H/m
  • μr = relative permeability of core material
  • r = radius of coil winding (m)
  • N = number of turns
  • D = overall diameter of toroid (m)

सन्दर्भ

  1. Nagaoka, Hantaro (1909-05-06). "The Inductance Coefficients of Solenoids [1]". 27. Journal of the College of Science, Imperial University, Tokyo, Japan: 18. Cite journal requires |journal= (मदद); |title= में बाहरी कड़ी (मदद)
  2. 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
  3. ARRL Handbook, 66th Ed. American Radio Relay League (1989).

बाहरी कड़ियाँ