FILTRES_ELECTRONIQUES - E1 PCSI 2009 2010 TD N 13...

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TD N°13 D’ÉLECTROCINÉTIQUE : FILTRES Page 1 sur 3 E 1 FILTRES Tracer les diagrammes de Bode pour les fonctions de transfert complexes suivantes : 1 – H (j ω ) = j ω / ω 0 2 – H (j ω ) = 1/(1-j ω / ω 0 ) 3 – H (j ω ) = j ω /( ω 0 + j ω ) PCSI TD N ° 13 D’ÉLECTROCINÉTIQUE EXERCICE N ° 1 EXERCICE N ° 2 EXERCICE N ° 3 1 – Prévoir sans calculs le comportement asymptotique du gain en tension. 2 – Etablir l’expression de H et la mettre sous la forme jk ω /( ω 0 + j ω ) en précisant ω 0 et k. Construire le diagramme de Bode en utilisant les résultats de l’exercice précédent. 3 – Déterminer l’impédance d’entrée Z e du quadripôle fermé sur R C . Déterminer l’impédance de sortie Z s du quadripôle alimenté par E g 1 – Etablir l’expression de H . Mettre H sous la forme : e s V V j j H H = + + = 1 0 0 1 1 ω ω ω ω avec ω 0 = 1/RC et ω 1 = (R+r)/rRC. Tracer, en faisant les approximations nécessaires, le diagramme asymptotique de Bode en considérant 3 domaines : ω << ω 0 ; ω 0 << ω << ω 1 et ω 1 << ω .
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