Question

2. a. A1, A2 are single-pole amplifiers as shown in FIGURE Q2a, \(\beta\) is a resistive feedback network (\(\beta\) is independent of frequency). The d.c. gain, Av, and poles of A1, A2 are K1, \(\omega_{p1}\) and K2, \(\omega_{p2}\), respectively. i. Under what condition will this feedback amplifier be stable? Explain your answer. [6 marks] ii. A third amplifier, A3, is added as in FIGURE Q2b. The d.c. gain, Av, and pole of A3 are K3, and \(\omega_{p3}\), respectively. Given K1 = K2 = K3= 10, \(\omega_{p1} = 10^4\) rad/s, \(\omega_{p2} = 10^6\) rad/s, and \(\omega_{p3} = 10^7\) rad/s, respectively, select \(\beta\) so that the feedback amplifier has a phase margin of 45°. Next, find the d.c gain, Av, of the feedback amplifier. [19 marks]

          2.
a. A1, A2 are single-pole amplifiers as shown in FIGURE Q2a, \(\beta\) is a resistive
feedback network (\(\beta\) is independent of frequency). The d.c. gain, Av, and poles
of A1, A2 are K1, \(\omega_{p1}\) and K2, \(\omega_{p2}\), respectively.
i. Under what condition will this feedback amplifier be stable? Explain your
answer.
[6 marks]
ii. A third amplifier, A3, is added as in FIGURE Q2b. The d.c. gain, Av, and
pole of A3 are K3, and \(\omega_{p3}\), respectively. Given K1 = K2 = K3= 10, \(\omega_{p1} = 10^4\)
rad/s, \(\omega_{p2} = 10^6\) rad/s, and \(\omega_{p3} = 10^7\) rad/s, respectively, select \(\beta\) so that the
feedback amplifier has a phase margin of 45°. Next, find the d.c gain, Av,
of the feedback amplifier.
[19 marks]

2.
a. A1, A2 are single-pole amplifiers as shown in FIGURE Q2a, β is a resistive
feedback network (β is independent of frequency). The d.c. gain, Av, and poles
of A1, A2 are K1, ωp1 and K2, ωp2, respectively.
i. Under what condition will this feedback amplifier be stable? Explain your
answer.
[6 marks]
ii. A third amplifier, A3, is added as in FIGURE Q2b. The d.c. gain, Av, and
pole of A3 are K3, and ωp3, respectively. Given K1 = K2 = K3= 10, ωp1 = 10^4
rad/s, ωp2 = 10^6 rad/s, and ωp3 = 10^7 rad/s, respectively, select β so that the
feedback amplifier has a phase margin of 45°. Next, find the d.c gain, Av,
of the feedback amplifier.
[19 marks]

Added by Daniel P.

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