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Magnetic Reluctance: Me kana?

Electrical4u
Electrical4u
فیلڈ: Karkashin Kuliya da Dukkana
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China

Me da ya Reluctance?

Reluctance na magana (ko da ake kira reluctance, magnetic resistance ko kuma magnetic insulator) ita ce a matsayin a yankin da ake bayarwa a cikin takaice mai magana don samun magnetic flux. Ita ce siffofin abincin da ya gaba a yi takaice mai magana.

Reluctance of Transformer Core.png
Reluctance of Transformer Core

A cikin takaice mai karamin karami, ake amfani da resistance don gaban karami a cikin takaice kuma ya gaba a yi kasa ga energy mai karami. Reluctance a cikin takaice mai magana ita ce mafi girma a takaice mai karami saboda ya gaba a yi magana mai sauƙa a cikin takaice mai magana amma ba a gaba a yi kasa ga energy ba.

Reluctance ta da muhimmanci da tsari mai zuwa a cikin takaice mai magana kuma ta da muhimmanci da tsarin rarrabe a cikin hanyar magana. Ita ce siffofin scalar kuma ana dogara shi da S. Yadda ake amfani da siffofin scalar ita ce mafi girma da ake dogara shi da ma'a (ko sunan lambar) baki daya. Ba a bukata a dogara shi da tsari ba.

Reluctance of Magnetic Bar.png
Reluctance of Magnetic Bar

Daga fannin lissafi, zan iya tabbatar da ita ne

  \begin{align*} S = \frac {l}{\mu_0 \mu_r A} \end{align*}

Amsa, l = yawan zama a hanyar maye

\mu_0 = permeability na tsakiyar kasa (vacuum) = 4 \pi * 10^-^7 Henry/meter

\mu_r = relative permeability of a magnetic material

A = Cross sectional area in square meters (m^2)

A ciki da ACAC kuma DCDC zuwaƙin maganetiku, anasawa ita ce nisbi na mataƙai mai tsaro (m.m.f) zuwa flux na maganetiku a cikin tari da maɓallin maganetiku. A cikin zuwaƙin pulsating AC ko DC, anasawa kuma yana pulsating.

Don haka za a iya bayar da shi ne kamar

  \begin{align*} Relectance (S) = \frac {m.m.f}{flux} =  \frac {F}{\phi} \end{align*}

Anasawa a Cikin Tari Mai Maɓallin Maganetiku

Kamar tari mai maɓallin karkashin sarakuna, jimlar resistance yana daidai tsakanin jima’ar dukiyen gaba daya,

  \begin{align*} R = R_1 + R_2 + R_3 +.............+R_n \end{align*}

Wannan, R = \frac {\rho l}{A}   (\rho = Resistivity)

Kamaruwa, a cikin tsarin mai juzu'ar lissafi na ma'amala, yankin kuskuren kuskure ya dada abin da aka samu ne daga cincinsa ta hanyar iyakokin kuskure da suka fayya da gurin.

  \begin{align*} S = S_1 + S_2 + S_3 +.............+S_n \end{align*}

Wannan, S = \frac {l}{\mu_0 \mu_r A}

Yaushe Ne Permeability?

An bayyana permeability ko alama na ma'amala kamar ikoɗin abu don ba da damar kunshegina ma'amala su shigo da shi. Yana taimakawa wajen zinarewama'amalar ma'amala a cikin tsarin ma'amala.

Wani masu dahiri na SI na permeability shine Henry/meter (H/m).

A cikin lissafi,\mu = \mu_0 \mu_r H/m

Amsa, \mu_0 = hanyar daɗi na yamma (kasa) = 4 \pi * 10^-^7 Henry/meter

\mu_r = hanyar daɗi na biyu a matsayin abu mai daɗi

Shi ne kashi daɗi na biyu zuwa kashi daɗi na biyu (B) zuwa kashi daɗi na biyu (H).

  \begin{align*} \mu = \frac {B}{H} \end{align*}

Hanyar Daɗi Na Biyu

Hanyar Daɗi Na Biyu ita ce babban daɗi na biyu wanda abu ya ba da shi a matsayin mai daɗi masu daɗi na biyu daga kasa.

An sanya ta da \mu_r.

Shin Gagarau?

Gagarau koƙin karfin kire kamar yadda aka saba, shine gagarau da ke baya a cikin tsarin makamantawa da yanki daya kuma wani abu na farko.

Muna san gagarau      S = \frac {l} {\mu_0 \mu_r A}

Wannan lokacin l = 1 m da A = 1 m2 sai mun samu

  \begin{align*} S= \frac {1} {\mu_0 \mu_r (1)} = \frac {1} {\mu_0 \mu_r} =\frac {1} {\mu} \  ( \mu = \mu_0 \mu_r ) \end{align*}

  \begin{align*} S (Specific \,\, Reluctance) = \frac {1} {Absolute \,\, Permeability (\mu)} \end{align*}

Watake kayan matakin/Henry.

Shi ne mai dabara da shin hanyar zama babba (karfin hanyar zama) a cikin tsarin elektric.

Yadda Yawancin Tattalin Zafi Da Yawancin Rikicin Tattalin Zafi

Yadda yawancin tattalin zafi ita ce kusa da yadda yawancin rikicin tattalin zafi. Ana sanya ta da P.

Yadda yawancin tattalin zafi (P)  = \frac {1} {Yawancin rikicin tattalin zafi(S)}

Permeance Reluctance
Permeance yana ake amfani da ita wajen kawo fahimta cewa flux zai iya shirya a tsarin magana mai magana. Reluctance yana gudanar da sarrafa bayanin flux a tsarin magana mai magana.
Ana sanya ta da P. Ana sanya ta da S.
Permeance = \frac{flux}{m.m.f} Reluctance = \frac{m.m.f}{flux}
Unitoshin ta Wb/AT ko Henry. Unitoshin ta AT/Wb ko 1/Henry ko H-1.
Yana danganta da conductance a tsarin magana mai magana. Yana danganta da resistance a tsarin magana mai magana.

Kwamfuta da Amfani da IEE-Business

Yadda ake kira kwamfutan ita ce ampere-turns per Weber (AT/Wb) ko 1/Henry ko H-1.

Tsarin Kwamfutan Mai Sautin Magana

  \begin{align*} S = \frac {l}{\mu A} \end{align*}

  \begin{align*}  \begin{split}  \ S = \frac {M^0 L^1 T^0} {M^1 L^1 T^-^2 I^-^2 * M^0 L^2 T^0} \ \ = \frac {M^0 L^1 T^0} {M^1 L^3 T^-^2 I^-^2} \  \ = M^-^1 L^-^2 T^2 I^2 \ \end{split}  \end{align*}

Tarhin Kwamfutan

(1) \begin{equation*} S = \frac {l}{\mu_0 \mu_r A} \end{equation*}

Amsa, \mu = \mu_0 \mu_r (A cikin tarihin daidaitaccen \epsilon = \epsilon_0 \epsilon_r)

Saboda haka, S = \frac {l}{\mu A}

Amsa, \mu = tsarin aikinsa na makarfi

  \begin{align*} Reluctance (S) = \frac {m.m.f}{flux} \end{align*}

(2) \begin{equation*} S = \frac {NI}{\phi} \end{equation*}

Tattaunawa Equation (1) da (2), zamu samu

  \begin{align*}  \frac {l}{\mu_0 \mu_r A} = \frac {NI}{\phi} \end{align*}

Sauran saututtuka, zamu samu

(3) \begin{equation*}  \frac {\phi}{\mu_0 \mu_r A} = \frac {NI}{l} \end{equation*}

Amma \frac {\phi}{A} = B da kuma \frac {NI}{l} = H

saka wadannan cikin equation (3) zamu samu,

  \begin{align*}  \frac {B}{\mu_0} = H \end{align*}

  \begin{align*} B = \mu_0 \mu_r H = \mu H \ (where, \mu = \mu_0 \mu_r) \end{align*}

Magana Motive Force (M.M.F)

M.M.F ya amsa da kare da yake soke wani abu mai tsarki a cikin tarihi mai tsarki.

Yana iya zama jami'an adadin amfani da ke gudanar da maimakon da adadin daga-daga na maimakon.

Saboda haka, m.m.f = NI

Unitashin da ta shiga shine ampere-turns (AT).

Saboda haka, AT = NI

Aiki da ake yi a kan yawan abu mai tsarki (1 Wb) zuwa tarihi mai tsarki duk da ita ana nufin magana motive force (m.m.f).

Yana da ma'ana mafi yawa a matsayin jirgin samun karamin kula (e.m.f) a cikin kayan kula.

Al'adu na Reluctance

Wasu daga cikin al'adu na reluctance sun haɗa:

  • A transformer, reluctance yana amfani a kan gano tushen magnetic saturation. Tushen air gaps masu kyau a cikin transformer yana zama reluctance ta cikin kayan kula, don haka ya shiga karfin magnetic energy zai iya aiki a kan gano saturation.

  • Reluctance motor yana amfani a kan wasu abubuwa masu sauti mai zurfi kamar timer na clock, alamomin lalace, alamomin rike, k.s.a, wanda ke yi a kan yanayin variable reluctance.

  • Daga cikin muhimmancin siffofin magnetically hard materials shine ya fi siffar magnetic reluctance mai yawa wanda ake amfani a kan gina permanent magnets. Misa: Tungsten steel, cobalt steel, chromium steel, alnico, k.s.a….

  • Magnet na speaker yana dogara da soft magnetic material kamar soft iron don gano tushen stray magnetic field.

  • Multimedia loudspeakers suka dogara da magnetic shield don gano tushen magnetic interference da za su iya shafi TV (televisions) da CRTs (Cathode Ray Tube).

Source: Electrical4u

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