An operational-amplifier circuit that may be used as a controller is shown in Figure Qla. Q1 (a) C R4 ww- R2 ww- R3 R1 ej eo Figure Qla R1, R2, R3 and R4 are resistors and C1 and C2 are capacitors. Assume both op-amps are ideal and their input/output voltages are ei, e and eo, as shown in the Figure. Using the impedance approach: obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and Eo(s)/E(s). (i) (ii) hence obtain the complete transfer function for the system, i.e. Eo(s)/Ei(s). Determine D(s) = Eo(s)/E:(s) when RI = R2 = R3 = R4 = 1Q and C1=1 F, C2= 2 F. (iii)
An operational-amplifier circuit that may be used as a controller is shown in Figure Qla. Q1 (a) C R4 ww- R2 ww- R3 R1 ej eo Figure Qla R1, R2, R3 and R4 are resistors and C1 and C2 are capacitors. Assume both op-amps are ideal and their input/output voltages are ei, e and eo, as shown in the Figure. Using the impedance approach: obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and Eo(s)/E(s). (i) (ii) hence obtain the complete transfer function for the system, i.e. Eo(s)/Ei(s). Determine D(s) = Eo(s)/E:(s) when RI = R2 = R3 = R4 = 1Q and C1=1 F, C2= 2 F. (iii)
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Author:Robert L. Boylestad
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Question
![An operational-amplifier circuit that may be used as a controller is shown in
Figure Qla.
Q1
(a)
C2
R4
ww
R2
ww
R1
ej
R3
e
Figure Qla
R1, R2, R3 and R4 are resistors and C1 and C2 are capacitors. Assume both
op-amps are ideal and their input/output voltages are ei, e and eo, as shown in
the Figure. Using the impedance approach:
(i)
obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and
Eo(s)/E(s).
(ii)
hence obtain the complete transfer function for the system, i.e.
Eo(s)/Ei(s).
(iii)
Determine D(s) = Eo(s)/E:(s) when R1 = R2 = R3 = R4 = 1 2 and
Ci=1 F, C2= 2 F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd84942ab-67a3-4593-8510-487f55a9ad56%2Faf5bfa7f-6593-434a-9432-0bf91287e13e%2Fb4afl3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An operational-amplifier circuit that may be used as a controller is shown in
Figure Qla.
Q1
(a)
C2
R4
ww
R2
ww
R1
ej
R3
e
Figure Qla
R1, R2, R3 and R4 are resistors and C1 and C2 are capacitors. Assume both
op-amps are ideal and their input/output voltages are ei, e and eo, as shown in
the Figure. Using the impedance approach:
(i)
obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and
Eo(s)/E(s).
(ii)
hence obtain the complete transfer function for the system, i.e.
Eo(s)/Ei(s).
(iii)
Determine D(s) = Eo(s)/E:(s) when R1 = R2 = R3 = R4 = 1 2 and
Ci=1 F, C2= 2 F.
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