Àkwà mmiri Anderson

Àkwà mmiri Anderson

Na eletrọniki, Àkwà mmiri Anderson bụ circuit àkwà ifufe eji atụle self-inductance nkè coil. na-eme ka a tụọ inductance site ná iji ihe ndị ọzọ dị ka resistors nà capacitors.

Ọ bụ Alexander Anderson chepụtara àkwà mmiri Anderson n'afọ 1891. gbanwere bridges nkè Maxwell nke inductance capacitance ka o wee nye nyocha ziri ezi nkè self-inductance.

Ọnọdụ nguzozi

Ọnọdụ nguzozi màkà àkwà mmiri Anderson ma ọ bụ, n'otu aka ahụ, ụkpụrụ nke self-inductance na nguzogide nke coil enyere nwèrè ike ịchọta site na iji usoro nyocha circuit dị ka KCL, KVL na iji phasors.Tụlee eserese sekit nke àkwà mmiri Anderson na onyinyo enyere. Ka L₁ bụrụ self-inductance na R₁ bụrụ ihe na-nguzogide eletrik nke coil a na-atụle. Ébé ọ bụ na a na-ec na voltmeter nwèrè ihe fọrọ nke nta ka ọ bụrụ ihe mgbochi na-enweghị njedebe, a na-ewere currents na alaka ab na bc na ndị dị na alaka de na ec ka ha hara nhata. N'itinye Iwu Kirchhoff ugbu a na node d, enwere ike igosi na-

${\begin{aligned}I_{4}+I_{c}&=I_{2}\end{aligned}}$

Ébé ọ bụ na a na-eme nyocha ahụ n'okpuru ọnọdụ dị mmá nke àkwà mmiri ahụ, enwere ike ikwu na voltaji na-agbadata gafee voltmeter bụ n'ezie efu. Mgbè ị na-etinye Iwu voltaji nke Kirchhoff na loop kwesịrị ekwesị (n'akụkụ na-emegide elekere), mmekọrịta ndị a na-ejide-

${\begin{aligned}I_{1}(R_{1}+r_{1}+j\omega L_{1})-I_{2}R_{2}-I_{c}r=0\\I_{1}R_{3}-{\frac {I_{c}}{j\omega C}}=0\\I_{c}r+{\frac {I_{c}}{j\omega C}}-I_{4}R_{4}=0\end{aligned}}$

Mgbè ị na-edozi usoro nhazi ndị a, mmadụ nwèrè ike n'ikpeazụ nweta inductance na nguzogide nke coil dị ka-

${\begin{aligned}L_{1}&=({\frac {R_{3}}{R_{4}}})(R_{2}R_{4}+r(R_{2}+R_{4}))C\\R_{1}&={\frac {R_{2}R_{3}}{R_{4}}}-r_{1}\end{aligned}}$

Uru ya

A pụkwara iji àkwà mmiri Anderson mee ihe n'ụzọ ọzọ - ya bụ, enwere ike iji ya tụọ capacitance nke capacitor a na-amaghị ama site na iji inductor coil nke a na-ekpebi onwé yá nà nguzogide eletrik ruo n'ókè dị elu. Ihe na-adọrọ mmasị ị ga-ahụ bụ eziokwu ahụ bụ na a na-atụle self-inductance nke coil anaghị agbanwe ọbụna mgbè a na-eburu ọnwụ dielectric n'ime capacitor n'uche. Uru ọzọ nke iji a gbanwere agbanwe bụ na n'adịghị ka capacitor na-agbanwe agbanwe eji na ákwà Maxwell, ọ na-eji capacitor kwụ ọtọ nke dị ọnụ ala.

Ọghọm ya

Otu n'ime ihe isi ike doro anyá metụtara àkwà mmiri Anderson bụ ngụkọta dị mgbagwoju anyá ma e jiri ya tụnyere àkwà ifufe Maxwell. Njikọ circuit ngụkọta dị arọ karịa mà e jiri ya tụnyere Àkwà mmiri Maxwell.