L2

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LEYES DE KIRCHHOFF

CIRCUITOS EN SERIE

1ΒͺPrimera ley:

𝑸 = π‘ΈπŸ = π‘ΈπŸ = π‘ΈπŸ‘ = β‹―

La cantidad de aire que sale desde una uniΓ³n debe ser igual a la cantidad de aire que entra a la uniΓ³n.

𝑯𝒍 = 𝐻𝑙1 + 𝐻𝑙2 + 𝐻𝑙3 + β‹―

π‘ΈπŸ + π‘ΈπŸ = π‘ΈπŸ‘ + π‘ΈπŸ’

𝑯𝒍 = π‘ΉπŸ |𝑸|𝑸 + π‘ΉπŸ |𝑸|𝑸 + π‘ΉπŸ‘ |𝑸|𝑸 𝑯𝒍 = π‘ΉπŸ π‘ΈπŸ + π‘ΉπŸ π‘ΈπŸ + π‘ΉπŸ‘ π‘ΈπŸ + β‹―

βˆ‘π‘Έ = 𝟎

𝑯𝒍 = (π‘ΉπŸ + π‘ΉπŸ + π‘ΉπŸ‘ + β‹― )π‘ΈπŸ = 𝑹𝒆𝒒 π‘ΈπŸ CIRCUITO EN PARALELO

2ΒͺSegunda ley:

𝑸 = π‘ΈπŸ + π‘ΈπŸ + π‘ΈπŸ‘ + β‹―

CaΓ­da de presiΓ³n alrededor de cualquier circuito cerrado debe ser igual a cero.

𝑯𝒍 = 𝐻𝑙1 = 𝐻𝑙2 = 𝐻𝑙3 = β‹― 𝑸=

βˆ‘ 𝑯𝒍 = 𝟎 𝑯𝒍 = π»π‘™π‘Ž + 𝐻𝑙𝑏 + 𝐻𝑙𝑐 βˆ’ 𝐻𝑙𝑑

𝑸 = βˆšπ‘―π’ (

𝑯𝒍 = 𝑹|𝑸|𝑸

𝟏 βˆšπ‘ΉπŸ

𝟏 βˆšπ‘Ήπ’†π’’ Caudal 𝑸: CaΓ­da de presiΓ³n 𝑯𝒍 : resistencia 𝑹: 𝑹𝒆𝒒 Resistencia equivalente 1 cfm: 1 pieΒ³/min = 1 ftΒ³/min 1 cfm = 4.71947Γ—10βˆ’4 m3/s 1 Pulgadas de agua=249.08 Pascales

=

βˆšπ‘―π’ βˆšπ‘―π’ βˆšπ‘―π’ + + π‘ΉπŸ π‘ΉπŸ π‘ΉπŸ 𝟏

+

βˆšπ‘ΉπŸ

𝟏 βˆšπ‘ΉπŸ

+

+

𝟏 βˆšπ‘ΉπŸ‘

𝟏 βˆšπ‘ΉπŸ

) = βˆšπ‘―π’ (

+

𝟏 βˆšπ‘ΉπŸ‘

𝟏 βˆšπ‘Ήπ’†π’’

)

+β‹― 𝟐

𝑹𝒆𝒒 = (

𝟏 𝟏 𝟏 𝟏 + + βˆšπ‘ΉπŸ βˆšπ‘ΉπŸ βˆšπ‘ΉπŸ‘

𝑹

)

𝑹

π‘ΈπŸ = π‘Έβˆš 𝑹𝒆𝒒 , π‘ΈπŸ = π‘Έβˆš 𝑹𝒆𝒒 , … 𝟏

𝑸: 𝑯𝒍 : 𝑹:

𝟐

cfm Pulg(in) Pulg*π’Žπ’Šπ’πŸ /π’‡π’•πŸ’ ; Pulg*π’Žπ’Šπ’πŸ /π’‡π’•πŸ” o N*π’”πŸ /π’ŽπŸ–

m3/s Pa

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