v u v i Exam of ELECTRONIC SYSTEMS June 26 th, 2014 Prof. Marco Sampietro I MOS = V G = V u = Problem 1 Calcoli - 1 -
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1 Exam of ELETRONI SYSTEMS June 26 th, 2014 Prof. Marco Sampietro Matr. N NAME Problem 1 onsiderare il circuito mostrato nella figura, in cui il MOSFET ha V T =0.8V e k p =0.3mA/V 2. (onsider the amplifier below, whose MOSFET has V T =0.8V and k p =0.3mA/V 2.) 1 17pF 2 13pF 3V 17k v i 13k v u R L a) alcolare la polarizzazione del circuito (V in =0V). (Find the bias of the circuit (V in =0V) 3V 1 17pF 2 13pF 17k I MOS = v i 13k V G = R L = 1
2 b) alcolare il valore del guadagno lineare del circuito sia a bassa frequenza, G LF,che ad alta frequenza G HF (Find the linear gain of the circuit at low frequency, G LF, and at high frequency, G HF ). 1 17pF 2 13pF 3V 17k v i 13k R L v u G LF = G HF = c) Disegnare l andamento nel tempo del segnale V out (t) quando in ingresso viene applicato un gradino di tensione come il seguente (Draw the time evolution of the output signal V out (t) when the input signal is a voltage step like the following): V i 0 V t 10 mv and drawing 2
3 d) alcolare la massima ampiezza di un segnale sinusoidale applicabile all ingresso (v in max ) prima che il MOSFET entri in zona Ohmica (Find the maximum amplitude of a sinusoidal input signal (v in max ) that can be applied to the circuit before the MOSFET enters Ohmic region). 1 17pF 2 13pF 3V 17k v i 13k R L v u v in max = 3
4 Problem 2 1. onsiderate il circuito seguente in cui l Amplificatore Operazionale è ideale, avente cioè guadagno A(s)= infinito e costante, impedenza di ingresso Z in = e impedenza di uscita Z u =0. (onsider the following amplifier circuit. Initially suppose the OpAmp is ideal, that is with infinite and constant gain, A(s)=, input impedance Z in = and output impedance Z u =0 ) a alcolare il valore di tensione Vu in assenza di segnale Iin e calcolare la potenza statica totale dissipata nelle resistenze del circuito (Find the D value of Vu when no signal Iin is applied and find the total power dissipated in the resistances of the circuit) D = P R = b alcolare il valore del trasferimento ideale T id = /I in del circuito quando all ingresso è applicato un segnale a bassa frequenza e quanta corrente totale (ed in che verso) deve fornire l OpAmp quando all ingresso c è un segnale di I in =100 A (con il verso positivo indicato dalla freccia). (Find the value of the ideal transfer function T id = /I in when the input signal is at low frequency and calculate the total amount of current (and its direction) that the output of the OpAmp provides when I in =100 A, positive in the direction of the arrow). T id = I OpAmp = 4
5 c Ricavare l espressione del trasferimento ideale T id (s) e disegnarne i diagrammi di Bode quotati del modulo e della fase ( Write the expression of the ideal transfer function T id (s) of the circuit and draw the Bode plots (modulus and phase) with numerical values on both axes.) G f Phase f
6 d Supporre che OpAmp abbia un guadagno a bassa frequenza di A(0)= ed un polo a 1kHz : A(s) 1 s with f = 1/2 = 1 khz. alcolare l espressione del guadagno di anello, G loop (s) e disegnarne i diagrammi di Bode quotati. (Suppose the OpAmp has a low frequency gain A(0)= and a pole at 1kHz. alculate the expression of the loop gain G loop (s) of the circuit and draw its Bode diagrams with quoted axes). 6
7 e Disegnare il trasferimento reale del circuito (modulo e fase) tra ingresso ed uscita alla luce del risultato trovato sopra e commentare il risultato. (Draw the real transfer function of the circuit modulus and phase based on the results obtained above and make a comment on it) Real transfer function plots 7
8 f Sulla base dei risultati ottenuti, calcolare la massima ampiezza di un segnale Iin sinusoidale alla frequenza di 1MHz applicabile al circuito. (Based on the obtained results, find the maximum amplitude of an input sinusoid Iin at frequency of 1MHz that can be applied to the circuit) I in max (1MH)= 8
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