MICROELECT. CIRCUIT ANALYSIS&DESIGN (LL)
4th Edition
ISBN: 9781266368622
Author: NEAMEN
Publisher: MCG
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Textbook Question
Chapter 12, Problem 13RQ
Using Bode plots, describe the conditions of stability and instability in a feedback amplifier.
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
www
13
F
5 Ω it (t)
www
vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
Chapter 12 Solutions
MICROELECT. CIRCUIT ANALYSIS&DESIGN (LL)
Ch. 12 - (a) The open-loop gain of an amplifier is A=5104...Ch. 12 - (a) Consider a general feedback system with...Ch. 12 - (a) A feedback amplifier has an open-loop...Ch. 12 - (a) Consider the circuit shown in Figure...Ch. 12 - (a) The closed-loop gain of a feedback amplifier...Ch. 12 - The gain factors in a feedback system are A=5105...Ch. 12 - Prob. 12.3TYUCh. 12 - An ideal series-shunt feedback amplifier is shown...Ch. 12 - Consider the ideal shunt-series feedback amplifier...Ch. 12 - An ideal series-series feedback amplifier is shown...
Ch. 12 - Prob. 12.5TYUCh. 12 - Consider the noninverting op-amp circuit shown in...Ch. 12 - Design a feedback voltage amplifier to provide a...Ch. 12 - Prob. 12.6TYUCh. 12 - (a) Assume the transistor in the source-follower...Ch. 12 - Consider the common-base circuit in Figure...Ch. 12 - Design a feedback current amplifier to provide a...Ch. 12 - Prob. 12.8TYUCh. 12 - Prob. 12.9TYUCh. 12 - For the circuit in Figure 12.31, the transistor...Ch. 12 - Design a transconductance feedback amplifier with...Ch. 12 - Prob. 12.10TYUCh. 12 - Consider the circuit in Figure 12.39, with...Ch. 12 - Consider the BJT feedback circuit in Figure...Ch. 12 - Prob. 12.12TYUCh. 12 - Consider the circuit in Figure...Ch. 12 - Prob. 12.16EPCh. 12 - Prob. 12.17EPCh. 12 - Consider the circuit in Figure 12.44(a) with...Ch. 12 - Consider the circuit in Figure 12.16 with the...Ch. 12 - Prob. 12.18EPCh. 12 - Consider the loop gain function T(f)=(3000)(1+jf...Ch. 12 - Consider the loop gain function given in Exercise...Ch. 12 - Prob. 12.16TYUCh. 12 - Prob. 12.17TYUCh. 12 - Prob. 12.20EPCh. 12 - Prob. 12.21EPCh. 12 - Prob. 12.22EPCh. 12 - What are the two general types of feedback and...Ch. 12 - Prob. 2RQCh. 12 - Prob. 3RQCh. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 6RQCh. 12 - Describe the series and shunt output connections...Ch. 12 - Describe the effect of a series or shunt input...Ch. 12 - Describe the effect of a series or shunt output...Ch. 12 - Consider a noninverting op-amp circuit. Describe...Ch. 12 - Prob. 11RQCh. 12 - What is the Nyquist stability criterion for a...Ch. 12 - Using Bode plots, describe the conditions of...Ch. 12 - Prob. 14RQCh. 12 - Prob. 15RQCh. 12 - Prob. 16RQCh. 12 - Prob. 17RQCh. 12 - (a) A negative-feedback amplifier has a...Ch. 12 - Prob. 12.2PCh. 12 - The ideal feedback transfer function is given by...Ch. 12 - Prob. 12.4PCh. 12 - Consider the feedback system shown in Figure 12.1...Ch. 12 - The open-loop gain of an amplifier is A=5104. If...Ch. 12 - Two feedback configurations are shown in Figures...Ch. 12 - Three voltage amplifiers are in cascade as shown...Ch. 12 - (a) The open-loop low-frequency voltage gain of an...Ch. 12 - (a) Determine the closed-loop bandwidth of a...Ch. 12 - (a) An inverting amplifier uses an op-amp with an...Ch. 12 - The basic amplifier in a feedback configuration...Ch. 12 - Consider the two feedback networks shown in...Ch. 12 - Prob. 12.14PCh. 12 - Two feedback configurations are shown in Figures...Ch. 12 - Prob. 12.16PCh. 12 - The parameters of the ideal series-shunt circuit...Ch. 12 - For the noninverting op-amp circuit in Figure...Ch. 12 - Consider the noninverting op-amp circuit in Figure...Ch. 12 - The circuit parameters of the ideal shunt-series...Ch. 12 - Consider the ideal shunt-series amplifier shown in...Ch. 12 - Consider the op-amp circuit in Figure P12.22. The...Ch. 12 - An op-amp circuit is shown in Figure P12.22. Its...Ch. 12 - Prob. 12.24PCh. 12 - Prob. 12.25PCh. 12 - Consider the circuit in Figure P12.26. The input...Ch. 12 - The circuit shown in Figure P12.26 has the same...Ch. 12 - The circuit parameters of the ideal shunt-shunt...Ch. 12 - Prob. 12.29PCh. 12 - Consider the current-to-voltage converter circuit...Ch. 12 - Prob. 12.31PCh. 12 - Determine the type of feedback configuration that...Ch. 12 - Prob. 12.33PCh. 12 - A compound transconductance amplifier is to be...Ch. 12 - The parameters of the op-amp in the circuit shown...Ch. 12 - Prob. 12.36PCh. 12 - Consider the series-shunt feedback circuit in...Ch. 12 - The circuit shown in Figure P12.38 is an ac...Ch. 12 - Prob. 12.39PCh. 12 - Prob. 12.40PCh. 12 - Prob. 12.41PCh. 12 - Prob. 12.42PCh. 12 - Prob. D12.43PCh. 12 - Prob. D12.44PCh. 12 - An op-amp current gain amplifier is shown in...Ch. 12 - Prob. 12.46PCh. 12 - Prob. 12.47PCh. 12 - Prob. 12.48PCh. 12 - The circuit in Figure P 12.49 has transistor...Ch. 12 - (a) Using the small-signal equivalent circuit in...Ch. 12 - The circuit in Figure P12.51 is an example of a...Ch. 12 - Prob. 12.52PCh. 12 - For the transistors in the circuit in Figure P...Ch. 12 - Consider the transconductance amplifier shown in...Ch. 12 - Consider the transconductance feedback amplifier...Ch. 12 - Prob. 12.57PCh. 12 - Prob. D12.58PCh. 12 - Prob. 12.59PCh. 12 - Prob. D12.60PCh. 12 - Prob. 12.61PCh. 12 - The transistor parameters for the circuit shown in...Ch. 12 - Prob. 12.63PCh. 12 - For the circuit in Figure P 12.64, the transistor...Ch. 12 - Prob. 12.65PCh. 12 - Prob. 12.66PCh. 12 - Design a feedback transresistance amplifier using...Ch. 12 - Prob. 12.68PCh. 12 - Prob. 12.69PCh. 12 - Prob. 12.70PCh. 12 - The transistor parameters for the circuit shown in...Ch. 12 - Prob. 12.72PCh. 12 - The open-loop voltage gain of an amplifier is...Ch. 12 - A loop gain function is given by T(f)=( 103)(1+jf...Ch. 12 - A three-pole feedback amplifier has a loop gain...Ch. 12 - A three-pole feedback amplifier has a loop gain...Ch. 12 - A feedback system has an amplifier with a...Ch. 12 - Prob. 12.78PCh. 12 - Prob. 12.79PCh. 12 - Consider a feedback amplifier for which the...Ch. 12 - Prob. 12.81PCh. 12 - A feedback amplifier has a low-frequency open-loop...Ch. 12 - Prob. 12.83PCh. 12 - A loop gain function is given by T(f)=500(1+jf 10...Ch. 12 - Prob. 12.85PCh. 12 - Prob. 12.86PCh. 12 - Prob. 12.87PCh. 12 - Prob. 12.88PCh. 12 - The amplifier described in Problem 12.82 is to be...Ch. 12 - Prob. 12.90PCh. 12 - Prob. 12.91CSPCh. 12 - Prob. 12.93CSPCh. 12 - Prob. 12.94CSPCh. 12 - Prob. D12.95DPCh. 12 - Op-amps with low-frequency open-loop gains of 5104...Ch. 12 - Prob. D12.97DP
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