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Latest posts from topic “OP-AMP, guadagno amplificazione e diagrammi di Bode.” Latest posts from topic “OP-AMP, guadagno amplificazione e diagrammi di Bode.” on “ElectroYou”. 2016-07-14T18:57:04Z https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094 Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660478 Guaffo 2016-07-15T16:13:53Z 2016-07-15T16:13:53Z
E' che non mi ci trovo molto a fare grafici con fidocadj. devo sempre fare un paio di tentativi prima di ottenere quello buono. :cry:



Commenti sul punto B?
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660467 Flamber 2016-07-15T14:19:27Z 2016-07-15T14:19:27Z
Per vedere che c'è uno 0 nell'origine, non c'è bisogno di fare nessun calcolo, basta guardare il circuito. Se f=0, cioè se la tensione applicata all'ingresso è in continua, come si comporta quel condensatore?
Il fatto di quotare gli assi, non è solo una questione di forma, è una necessità. Un diagramma logaritmico senza gli assi quotati non è interpretabile in alcun modo, non ha alcun senso, e quindi nessuna utilità.

Ad esempio, quel -64dB cosa vuol dire? a che frequenza è riferito?
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660445 Guaffo 2016-07-15T11:51:30Z 2016-07-15T11:51:30Z
Scusate, quando ho postato ero proprio cotto.



Passatemi il fatto di non aver quotato tutti gli assi.

Per la mia soluzione del punto B, mi sa che c'è qualcosa che non torna...

per f->0, H(f)=0. Poi ho uno zero all'origine e un polo reale alla stessa frequenza di 159Hz e due poli reali alla frequenza 3.9Hz.
Qualcosa non va...

[quote="g.schgor"]
Forum130716.gif

Domande?


Da qui vedo che si dovrebbe ottenere uno zero nell'origine con frequenza di taglio a circa 10Hz e un polo reale verso i 100kHz...
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660402 DanteCpp 2016-07-15T08:05:40Z 2016-07-15T08:05:40Z
[quote="Guaffo"]Nel mio caso specifico, l'intercetta sarebbe in [unparseable or potentially dangerous latex formula]


Continui a non specificare nel grafico la frequenza dell'Asse verticale che disegni.
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660401 g.schgor 2016-07-15T07:13:52Z 2016-07-15T07:13:52Z
[quote="Guaffo"]Nel mio caso specifico...

Si, è corretto ma direi poco significativo.
Non hai infatti "quotato" l'asse delle frequenze,
o almeno indicato la il valore della frequenza
corrispondente a 0dB. (f_0, frequenza di taglio).
Questa è data da:
f_0=\frac{1}{2 \pi CR}=1592Hz

Circa la risposta con l'amplificatore "reale",
ecco il risultato delle simulazione con Microcap
da 10Hz a 1MHz:

Forum130716.gif


Domande?
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660398 Guaffo 2016-07-15T01:01:16Z 2016-07-15T01:01:16Z
Nel mio caso specifico, l'intercetta sarebbe in [unparseable or potentially dangerous latex formula]



Per il punto B

Ora, la tensione tra i due nodi di ingresso non è più nulla. Considero il circuito in questo modo:



La KCL al nodo A è:

[unparseable or potentially dangerous latex formula]

da cui

[unparseable or potentially dangerous latex formula]

inoltre vale

[unparseable or potentially dangerous latex formula]

e allora

[unparseable or potentially dangerous latex formula]

dove ho una costante di partenza, uno zero all'origine, e tre poli reali. Corretto?
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660395 DanteCpp 2016-07-14T23:21:39Z 2016-07-14T23:21:39Z
Funzioni a valori complessi
Sia [unparseable or potentially dangerous latex formula], una funzione di variabile reale a valori in \mathbb{C} allora H(f) può essere rappresentata in forma cartesiana, o in forma polare.



Forma cartesiana

[unparseable or potentially dangerous latex formula]

dove
[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

Forma polare

[unparseable or potentially dangerous latex formula]

dove

per il teorema di Pitagora
[unparseable or potentially dangerous latex formula]

nel semipiano destro vale,
[unparseable or potentially dangerous latex formula]
per definizione di tangente.

Rappresentazioni grafiche

Ora potremmo rappresentare H(f) nel piano di Gauss, come una curva parametrizzata in f.



Oppure potremmo disegnare due grafici, uno per la fase e uno per i moduli di H(f), senza perdita di informazione.



Diagrammi di Bode

I diagrammi di bode sono due grafici, uno per la fase e uno per il modulo di H(f), in cui si fa la particolare scelta, di rappresentare le ascisse in scala logaritmica e le ordinate nel grafico dei moduli in decibel.

Quindi, vediamo dove si trova la frequenza f=0 nel diagramma di bode:

\lim_{f \to 0} \log f = - \infty



Procediamo allo stesso modo per verificare la posizione dell'asse rappresentante [unparseable or potentially dangerous latex formula].

[unparseable or potentially dangerous latex formula]



In generale

[unparseable or potentially dangerous latex formula]

Zeri nell'origine

Sia ora, [unparseable or potentially dangerous latex formula]

essendo la parte reale nulla e la parte immaginaria positiva, sarà
[unparseable or potentially dangerous latex formula]

Il modulo, invece:
[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

per le proprietà dei logaritmi
[unparseable or potentially dangerous latex formula]

Quindi, nel diagramma dei moduli, avremmo una retta, con pendenza +20 dB per decade, ed intercetta con l'asse [unparseable or potentially dangerous latex formula], in [unparseable or potentially dangerous latex formula].



Detto ciò, come dovrebbe essere il diagramma, nel tuo caso specifico?
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660374 Flamber 2016-07-14T19:00:42Z 2016-07-14T19:00:42Z
[quote="Guaffo"] A questo punto, se 0dB corrispondono al guadagno 1 (cosa che non sapevo)"


A questo proposito, prima di avventurarti negli esercizi proposti dal tuo professore, ti consiglio di chiarirti un po' le idee in merito ai diagrammi di bode, ai decibel e al dominio della frequenza in generale.
Cercando in giro la cosa significa decibel, troverai almeno 3 o 4 definizioni diverse, con i termini più fantasiosi, e scoprirai che le contraddizioni degli elettronici non hanno mai fine.
Ti consiglio questi video e PDF, che dovrebbero chiarirti la questione una volta per tutte. Ci sono diversi esempi. In particolare, il primo link è un video della University of Colorado che mi è stato molto utile durante il corso di elettrotecnica:

https://www.coursera.org/learn/converte ... grams-pole

http://www.ece.utah.edu/~ee3110/bodeplot.pdf

http://web.cecs.pdx.edu/~ece2xx/ECE222/ ... lotsx4.pdf
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660373 Guaffo 2016-07-14T19:00:37Z 2016-07-14T19:00:37Z
[quote="IsidoroKZ"]L'asse verticale non e` a frequenza zero. Essendo un grafico logaritmico la frequenza zero e` MOLTO lontano a sinistra. Se in un punto del grafico c'e` la frequenza di 10Hz, e "tre dita" a sinistra c'e` 1Hz, altre tre dita a sinistra ci sara` 0.01Hz, altre tre dita 1mHz, nove dita piu` a sinistra 1uHz... e la frequenza zero non la si raggiunge mai.


Sono stato tratto in inganno dalla notazione usata sul grafico del testo dell'esercizio.

ma allora la traslazione del diagramma andava fatta orizzontalmente e non verticalmente.
Re: OP-AMP, guadagno amplificazione e diagrammi di Bode. https://www.electroyou.it/forum/viewtopic.php?f=1&t=65094#p660372 Guaffo 2016-07-14T18:57:04Z 2016-07-14T18:57:04Z
allora la traslazione del diagramma andava fatta orizzontalmente e non verticalmente.