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Análisis y diseño del circuito resonante RLC serie y paralelo
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Se analiza, simula y diseña dos redes RLC en serie y paralelo que son las bases para los circuitos de comunicaciones de la actualidad
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Universidad Nacional Autónoma de MéxicoFacultad de Ingeniería
Departamento de Electrónica
Laboratorio de Circuitos para Comunicaciones
García Armas Alexis Jair
Dr. Jorge Rodríguez Cuevas
Tarea 2
Grupo 1
Fecha de entrega 2 de marzo de 2021
, 1. Diseñar y simular un circuito resonante serie con ancho de banda 𝑩𝑾 =
𝟏𝟎 𝑴𝑯𝒛, 𝒇𝒐 = 𝟏𝟎𝟎 𝑴𝑯𝒛, 𝑹𝑳 = 𝟓𝟎 Ω
Para determinar la función de transferencia se aplica un divisor de tensión, y sabiendo que
las reactancias quedan definidas como
1 1
𝑋𝐶 = =
𝑗𝜔𝐶 𝑠𝐶
𝑋𝐿 = 𝑗𝜔𝐿 = 𝑠𝐶
𝑅
𝑣𝑜 (𝑠) = 𝑣𝑖𝑛 (𝑠)
1
𝑠𝐶 + 𝑠𝐿 + 𝑅
𝑣𝑜 (𝑠) 𝑅
= (𝑠𝐶)
𝑣𝑖𝑛 (𝑠) 1
+ 𝑠𝐿 + 𝑅
𝑠𝐶
𝑅
𝑠𝑅𝐶 𝑠( )
𝐻(𝑠) = 2 = 𝐿
𝑠 𝐿𝐶 + 𝑠𝑅𝐶 + 1 𝑠 2 + 𝑠( ) + 1
𝑅
𝐿 𝐿𝐶
De las expresiones de diseño se sabe que
1
𝜔𝑜2 = . . . (1)
𝐿𝐶
𝑅
𝐵𝑊 = . . . (2)
𝐿
𝜔𝑜 𝜔𝑜 𝐿 1
𝑄= = = . . . (3)
𝐵𝑊 𝑅 𝜔𝑜 𝑅𝐶
Determinando el factor de calidad Q necesario de la ecuación (3)
𝜔𝑜 2𝜋𝑓𝑜
𝑄= =
𝐵𝑊 𝐵𝑊
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