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computer science
systems analysis and design 12th

Questions and Answers of Systems Analysis And Design 12th

Consider the two feedback networks shown in Figures P12.7(a) and P12.7(b). The \(3 \mathrm{~dB}\) frequency of the amplifier \(A_{1}\) is \(100 \mathrm{~Hz}\) and the \(3 \mathrm{~dB}\) frequency of
Consider two open-loop amplifiers in cascade, with a noise signal generated between the two amplifiers as in Figure 12.3(a). Assume the amplification of the first stage is \(A_{2}=100\) and that of
Two feedback configurations are shown in Figures P12.15 (a) and (b). At low input voltages, the two gains are \(A_{1}=A_{2}=90\) and at higher input voltages, the gains change to \(A_{1}=A_{2}=60\).
Consider the ideal series-shunt circuit shown in Figure 12.6. Let \(A_{v}=5 \times\) \(10^{3} \mathrm{~V} / \mathrm{V}, \beta=0.0080 \mathrm{~V} / \mathrm{V}, R_{i}=10 \mathrm{k} \Omega\), and
The parameters of the ideal series-shunt circuit shown in Figure 12.6 are \(V_{i}=25 \mathrm{mV}, V_{o}=2.5 \mathrm{~V}\), and \(\beta=0.0096 \mathrm{~V} / \mathrm{V}\). Determine the values and
For the noninverting op-amp circuit in Figure P12.18, the parameters are: \(A=10^{5}, A_{v f}=20, R_{i}=100 \mathrm{k} \Omega\), and \(R_{o}=100 \Omega\). Determine the ideal closed-loop input and
Consider the noninverting op-amp circuit in Figure P12.18. The input resistance of the op-amp is \(R_{i}=\infty\) and the output resistance is \(R_{o}=0\), but the opamp has a finite gain \(A\). (a)
The circuit parameters of the ideal shunt-series amplifier shown in Figure 12.9 are \(I_{i}=20 \mu \mathrm{A}, I_{f b}=19 \mu \mathrm{A}, R_{i}=500 \Omega, R_{o}=20 \mathrm{k} \Omega\), and
Consider the ideal shunt-series amplifier shown in Figure 12.9. The parameters are \(I_{i}=25 \mu \mathrm{A}, I_{\varepsilon}=0.8 \mu \mathrm{A}\), and \(A_{i f}=125\). Determine the values and units
Consider the op-amp circuit in Figure P12.22. The op-amp has a finite gain, so that \(i_{o}=A i_{\varepsilon}\), and a zero output impedance. (a) Write the closed-loop transfer function in the
An op-amp circuit is shown in Figure P12.22. Its parameters are as described in Problem 12.22, except that \(R_{i}=2 \mathrm{k} \Omega\) and \(R_{o}=20 \mathrm{k} \Omega\). Determine the closed-loop
The parameters of the ideal series-series amplifier in Figure 12.12 are \(V_{i}=0.2 \mathrm{mV}, I_{o}=5 \mathrm{~mA}, V_{f b}=0.195 \mathrm{mV}, R_{i}=20 \mathrm{k} \Omega\), and \(R_{o}=10
The ideal series-series circuit shown in Figure 12.12 has parameters \(V_{i}=150 \mu \mathrm{V}, \beta_{z}=0.0245 \mathrm{~V} / \mathrm{A}\), and \(A_{g}=2000 \mathrm{~A} / \mathrm{V}\). Determine
Consider the circuit in Figure P12.26. The input resistance of the op-amp is \(R_{i}=\infty\) and the output resistance is \(R_{o}=0\). The op-amp has a finite gain, so that \(i_{o}^{\prime}=A_{g}
The circuit shown in Figure P12.26 has the same parameters as described in Problem 12.26, except that \(R_{i}=20 \mathrm{k} \Omega\) and \(R_{o}=50 \mathrm{k} \Omega\). Determine the closed-loop
The circuit parameters of the ideal shunt-shunt amplifier shown in Figure 12.14 are \(A_{z f}=0.20 \mathrm{~V} / \mu \mathrm{A}, \beta_{g}=4.25 / \mu \mathrm{A} / \mathrm{V}\), and \(R_{i}=R_{o}=500
Voltage and current values in the ideal shunt-shunt circuit shown in Figure 12.14 are \(I_{i}=40 \mu \mathrm{A}, I_{f b}=38 \mu \mathrm{A}\), and \(V_{o}=8 \mathrm{~V}\). Determine the values and
Consider the current-to-voltage converter circuit shown in Figure P12.30. The input resistance \(R_{i f}\) is assumed to be small, the output resistance is \(R_{o}=0\), and the op-amp gain \(A_{z}\)
For the current-to-voltage converter circuit in Figure P12.30, the parameters are as described in Problem 12.30. If \(R_{i}=10 \mathrm{k} \Omega\), determine the closedloop input resistance \(R_{i
Determine the type of feedback configuration that should be used in a design to achieve the following objectives: (a) low input resistance and low output resistance, (b) high input resistance and
Consider a series of amplifiers and feedback circuits connected in the ideal feedback configurations. In each case the input resistance to the basic amplifier is \(R_{i}=10 \mathrm{k} \Omega\), the
A compound transconductance amplifier is to be designed by connecting two basic feedback amplifiers in cascade. What two amplifiers should be connected in cascade to form the compound circuit? Is
The parameters of the op-amp in the circuit shown in Figure P12.35 are \(A_{v}=10^{5}, R_{i}=30 \mathrm{k} \Omega\), and \(R_{o}=500 \Omega\). The transistor parameters are \(h_{F E}=140\) and
The circuit in Figure P12.36 is an example of a series-shunt feedback circuit. Assume the transistor parameters are: \(h_{F E}=100, V_{B E}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). (a)
Consider the series-shunt feedback circuit in Figure P12.37, with transistor parameters: \(h_{F E}=120, V_{B E}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). (a) Determine the small-signal
The circuit shown in Figure P12.38 is an ac equivalent circuit of a feedback amplifier. The transistor parameters are \(h_{F E}=100\) and \(V_{A}=\infty\). The quiescent collector currents are \(I_{C
Consider the MOSFET feedback amplifier shown in Figure P12.39. The transistor parameters are \(V_{T N}=0.5 \mathrm{~V}, K_{n}=0.5 \mathrm{~mA} / \mathrm{V}^{2}\), and \(\lambda=0\). Determine the
The parameters of the BiCMOS circuit in Figure P12.40 are \(V^{+}=5 \mathrm{~V}\), \(V_{G G}=2.5 \mathrm{~V}, R_{D 1}=5 \mathrm{k} \Omega, R_{E 2}=1.6 \mathrm{k} \Omega\), and \(R_{L}=1.2 \mathrm{k}
The parameters of the basic source-follower circuit in Figure P12.41 are \(R_{S}=1.5 \mathrm{k} \Omega, V_{T N}=1.2 \mathrm{~V}\), and \(\lambda=0\). Assume the transistor is biased at \(I_{D Q}=1.2
The transistor parameters for the circuit in Figure P12.42 are: \(h_{F E}=50\), \(V_{B E}(\mathrm{on})=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). Using nodal analysis, determine the closedloop
Design a discrete transistor feedback voltage amplifier to provide a voltage gain of 50. Assume the available transistors have parameters: \(h_{F E}=120\) and \(V_{A}=\infty\). The signal voltage
Redesign the feedback circuit in Figure P12.36 using MOSFETs to provide a voltage gain of \(A_{v f}=8\) and such that \(v_{o}=0\) when \(v_{i}=0\). Assume circuit parameters of \(R_{S}=1 \mathrm{k}
An op-amp current gain amplifier is shown in Figure P12.45. Assuming an ideal op-amp, design the circuit such that the load current is \(I_{o}=5 \mathrm{~mA}\) for an input current of \(I_{s}=60 \mu
Consider the current gain amplifier shown in Figure P12.46. The transistor parameters are \(K_{n}=K_{p}=10 \mathrm{~mA} / \mathrm{V}^{2}, V_{T N}=1 \mathrm{~V}, V_{T P}=-1 \mathrm{~V}\), and
A MOSFET current gain amplifier is shown in Figure P12.47. The transistor parameters are \(K_{n}=K_{p}=10 \mathrm{~mA} / \mathrm{V}^{2}, V_{T N}=1 \mathrm{~V}, V_{T P}=-1 \mathrm{~V}\), and
A BJT current gain amplifier is shown in Figure P12.48. The transistor parameters are \(\beta_{1}=\beta_{2}=180, V_{A 1}=V_{A 2}=\infty\), and \(I_{S 1}=I_{S 2}=10^{-15} \mathrm{~A}\). The LED
The circuit in Figure P12.49 has transistor parameters: \(h_{F E}=100\), \(V_{B E}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). (a) From the quiescent values, determine the small-signal
(a) Using the small-signal equivalent circuit in Figure 12.25 for the circuit in Figure 12.24(a), derive the expression for the small-signal current gain \(A_{i f}=I_{o} / I_{s}\). (b) Using the
The circuit in Figure P12.51 is an example of a shunt-series feedback circuit. A signal proportional to the output current is fed back to the shunt connection at the base of \(Q_{1}\). However, the
Consider the circuit in Figure P12.51 with transistor parameters, \(h_{F E}=120, V_{B E}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). Using nodal analysis, determine the input resistance \(R_{i
For the transistors in the circuit in Figure P12.53, the parameters are: \(h_{F E}=50, V_{B E}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). Using nodal analysis, determine the closed-loop
Design a discrete transistor feedback current amplifier to provide a current gain of 30. Assume the available transistors have parameters \(h_{F E}=120\) and \(V_{A}=\infty\). The signal current
Consider the transconductance amplifier shown in Figure P12.55. Assume the op-amp is ideal. (a) Derive the expression for the transconductance function \(A_{g f}=I_{o} / V_{i}\). (b) If the circuit
Consider the transconductance feedback amplifier shown in Figure P12.56 with \(R_{D}=1.6 \mathrm{k} \Omega\) and \(R_{L}=248 \Omega\). The transistor parameters are \(V_{T N}=0.5 \mathrm{~V}, V_{T
The circuit in Figure P12.57 is the ac equivalent circuit of a series-series feedback amplifier. Assume that the bias circuit, which is not shown, results in quiescent collector currents of \(I_{C
Using a computer simulation analysis, redesign the circuit in Figure P12.57 by changing the value of \(R_{F}\) to achieve a transconductance gain of \(A_{g f}=\) \(I_{o} / V_{s}=120 \mathrm{~mA} /
In the circuit in Figure P12.59, the transistor parameters are: \(h_{F E}=100\), \(V_{B E}(\mathrm{on})=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). Determine the transconductance transfer function
Design a feedback amplifier to supply a current to an LED. Use the configuration shown in Figure 12.27 where \(R_{L}\) is replaced by the LED. (a) Assuming an ideal op-amp is available, design the
Consider the common-emitter circuit in Figure P12.61 driven by an ideal signal current source. The transistor parameters are \(h_{F E}=80, V_{E B}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=100
The transistor parameters for the circuit shown in Figure P12.62 are \(V_{T N}=\) \(0.4 \mathrm{~V}, K_{n}=0.5 \mathrm{~mA} / \mathrm{V}^{2}\), and \(\lambda=0\). (a) Find (i) the quiescent drain
Consider Problem 12.62. (a) What is the magnitude of the ideal transresistance transfer function \(\left|A_{z f}\right|\) as the transistor transconductance parameter \(g_{m} \rightarrow \infty\).
For the circuit in Figure P12.64, the transistor parameters are: \(h_{F E}=150\), \(V_{B E}(\) on \()=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). Determine the value of \(R_{F}\) that will result in a
Consider the three-stage cascade feedback circuit in Figure 12.41. Each stage corresponds to the circuit in Figure P12.65, with transistor parameters: \(h_{F E}=180, V_{B E}\) (on) \(=0.7
The op-amp in the circuit in Figure P12.66 has an open-loop differential voltage gain of \(A_{d}=10^{4}\). Neglect the current into the op-amp, and assume the output resistance looking back into the
Design a feedback transresistance amplifier using an op-amp with parameters \(R_{i}=10 \mathrm{k} \Omega, R_{o}=100 \Omega\), and a low-frequency open-loop gain of \(A_{v}=10^{4}\) to produce a gain
The op-amp in Figure 12.20 has an open-loop differential input resistance \(R_{i}\), an open-loop current gain \(A_{i}\), and a zero output resistance. Break the feedback loop at an appropriate
The small-signal parameters of the transistors in the circuit in Figure P12.37 are \(h_{F E}\) and \(V_{A}=\infty\). Derive the expression for the loop gain. Cc Rif Vi ww ww R = 400 R = 75 www ww
Determine the loop gain \(T\) for the circuit in Figure P12.49. The transistor parameters are: \(h_{F E}=100, V_{B E}(\mathrm{on})=0.7 \mathrm{~V}\), and \(V_{A}=\infty\). is Rif V+=+10 V ww RCI = 40
The transistor parameters for the circuit shown in Figure P12.64 are: \(h_{F E}=50, V_{B E}\) (on) \(=0.7 \mathrm{~V}\), and \(V_{A}=100 \mathrm{~V}\). Find the loop gain \(T\). Vcc=12 V ww-h Rs =
A three-pole feedback amplifier has a loop gain given by\[T(f)=\frac{\beta\left(5 \times 10^{4}\right)}{\left(1+j \frac{f}{10^{3}}\right)\left(1+j \frac{f}{5 \times 10^{4}}\right)^{2}}\](a) Determine
The open-loop voltage gain of an amplifier is given by\[A_{v}=\frac{10^{4}}{\left(1+j \frac{f}{5 \times 10^{3}}\right)^{2}\left(1+j \frac{f}{5 \times 10^{5}}\right)}\](a) Assuming the feedback
A loop gain function is given by\[T(f)=\frac{\beta\left(10^{3}\right)}{\left(1+j \frac{f}{10^{4}}\right)\left(1+j \frac{f}{5 \times 10^{4}}\right)\left(1+j \frac{f}{10^{5}}\right)}\]Sketch the
A three-pole feedback amplifier has a loop gain function given by\[T(f)=\frac{\beta\left(5 \times 10^{3}\right)}{\left(1+j \frac{f}{10^{3}}\right)^{2}\left(1+j \frac{f}{5 \times 10^{4}}\right)}\](a)
A three-pole feedback amplifier has a loop gain given by\[T(f)=\frac{\beta\left(10^{4}\right)}{\left(1+j \frac{f}{10^{3}}\right)\left(1+j \frac{f}{10^{4}}\right)\left(1+j
A feedback system has an amplifier with a low-frequency open-loop gain of \(5 \times 10^{4}\) and has poles at \(10^{3} \mathrm{~Hz}, 10^{5} \mathrm{~Hz}\), and \(10^{7} \mathrm{~Hz}\). (a) Determine
The open-loop voltage gain of an amplifier is given by\[A_{v}=\frac{10^{5}}{\left(1+j \frac{f}{10^{3}}\right)\left(1+j \frac{f}{10^{5}}\right)}\](a) If the low-frequency, closed-loop gain is 100 , is
The loop gain function of a feedback system is described by\[T(f)=\frac{\beta\left(10^{3}\right)}{\left(1+j \frac{f}{10^{4}}\right)\left(1+j \frac{f}{10^{5}}\right)\left(1+j
Consider a feedback amplifier for which the open-loop gain is given by\[A(f)=\frac{2 \times 10^{3}}{\left(1+j \frac{f}{5 \times 10^{3}}\right)\left(1+j \frac{f}{10^{5}}\right)^{2}}\](a) Determine the
Consider a four-pole feedback system with a loop gain given by\[T(f)=\frac{\beta\left(10^{3}\right)}{\left(1+j \frac{f}{10^{3}}\right)\left(1+j \frac{f}{10^{4}}\right)\left(1+j
A feedback amplifier has a low-frequency open-loop gain of 4000 and three poles at \(f_{P 1}=400 \mathrm{kHz}, f_{P 2}=4 \mathrm{MHz}\), and \(f_{P 3}=40 \mathrm{MHz}\). A dominant pole is to be
The loop gain of a three-pole amplifier is given by\[T(f)=\frac{10^{3}}{\left(1+j \frac{f}{10^{4}}\right)^{2}\left(1+j \frac{f}{10^{6}}\right)}\](a) Show that this function will lead to an unstable
A loop gain function is given by\[T(f)=\frac{500}{\left(1+j \frac{f}{10^{4}}\right)\left(1+j \frac{f}{5 \times 10^{4}}\right)\left(1+j \frac{f}{10^{5}}\right)}\](a) Determine the frequency
An open-loop amplifier can be described by\[A_{v}=\frac{10^{4}}{\left(1+j \frac{f}{10^{5}}\right)}\]A dominant pole is to be inserted such that a closed-loop amplifier with a low-frequency gain of 50
The open-loop amplifier of a feedback system has its first two poles at \(f_{P 1}=1\) \(\mathrm{MHz}\) and \(f_{P 2}=10 \mathrm{MHz}\), and has a low-frequency open-loop gain of
A feedback amplifier with a compensation capacitor has a low-frequency loop gain of \(T(0)=100 \mathrm{~dB}\) and poles at \(f_{P 1}^{\prime}=10 \mathrm{~Hz}, f_{P 2}=5 \mathrm{MHz}\), and \(f_{P
The equivalent circuit at the interface between the first and second stages of an op-amp is shown in Figure P12.88. The parameters are \(R_{o 1}=2 \mathrm{M} \Omega\), \(R_{i 2}=750 \mathrm{k}
The amplifier described in Problem 12.82 is to be stabilized by moving the first pole by using Miller compensation. Assuming that \(f_{P 2}\) and \(f_{P 3}\) remain fixed, determine the frequency to
The loop gain of an amplifier is given by\[T(f)=\frac{\beta\left(5 \times 10^{5}\right)}{\left(1+j \frac{f}{10^{4}}\right)\left(1+j \frac{f}{5 \times 10^{5}}\right)\left(1+j
Consider the circuit shown in Figure 12.24(a). Replace the input signal source with an ideal signal voltage source. Using a computer simulation, investigate the small-signal voltage gain, input
For the circuit shown in Figure 12.39, investigate the small-signal voltage gain, input resistance, and output resistance as a function of the transistor width-to-length ratio, using a computer
Consider the circuit shown in Figure 12.37(a). Using a computer simulation, plot the loop gain as a function of frequency.Figure 12.37(a):- Vj ww Rs = 10 k CC1 2 Vcc = 10 V Rc = 10 R = = 51 Rif
In the circuit shown in Figure P12.42, use a computer simulation to plot the small-signal voltage gain versus frequency. Determine the low-frequency and high-frequency cutoff values. Vs C = 5 F HH 47
The circuit shown in Figure P12.46 is to have a minimum loop gain of \(T=200\). Design the width-to-length ratios of the transistors to meet this requirement. Use appropriate transistor parameters.
Op-amps with low-frequency open-loop gains of \(5 \times 10^{4}\) and dominantpole frequencies of \(8 \mathrm{~Hz}\) are available. Design a cascade of noninverting amplifiers such that the overall
An op-amp has a low-frequency open-loop gain of \(5 \times 10^{4}\) and a dominantpole frequency of \(10 \mathrm{~Hz}\). Using this op-amp, design a preamplifier system that can amplify the output of
The equivalent circuit of a transducer that measures the speed of a motor is a current source in parallel with an output resistance. The current source produces an output of \(1 \mu \mathrm{A}\) per
Describe the principal stages of a general-purpose operational amplifier.
What is meant by the term matched transistors? What parameters in BJTs and MOSFETs are identical in matched devices?
Describe the operation and characteristics of a BJT complementary push-pull output stage. What are the advantages of this circuit?
Describe the operation and characteristics of a MOSFET complementary push-pull output stage. What are the advantages of this circuit?
Describe the configuration and operation of the input diff-amp stage of the 741 op-amp.
What is the purpose of the resistor \(R_{3}\) in the active load of the 741 op-amp?
Describe the configuration of the output stage of the 741 op-amp.
Describe the operation of the short-circuit protection circuitry in the 741 op-amp.
Describe the frequency compensation technique in the \(741 \mathrm{op}-\mathrm{amp}\) circuit.
Sketch and describe the general characteristics of a folded cascode circuit.
Sketch and describe the general characteristics of a current-mirror op-amp circuit. Why is the gain not increased? What is the principal advantage of this circuit?
Sketch and describe the principal advantage of a BiCMOS folded cascode opamp circuit.
Explain why an output resistance on the order of five hundred megohms may not be achieved in practice.
What are the principal factors limiting the unity-gain bandwidth of an op-amp circuit?

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