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computer science
systems analysis design

Questions and Answers of Systems Analysis Design

Write an expression for the composite exponential waveform in Figure P5-27. v(1) (V) 4 3 2.736 2 1.264 1 0 0 3 5 8 t (ms)
Write an expression for the composite exponential waveform in Figure P \(5=28\). Then use MATLAB to construct the same waveform and compare the results. Voltage (V) 100 80 60 40 20 www. mmmmm 0 0 0.5
For the double exponential \(v(t)=-5\left[e^{-\alpha t}-e^{-10 t}ight]\) \(u(t) \mathrm{V}\) shown in Figure P 5 -29. , find \(\alpha\). Voltage (V) 0.5 0 -0.5A -1 -1.5 -2.5 -35 0 t = 0.2s, V=-2.675
Write an expression for the damped sine waveform in Figure P5=30 . The exponential envelope was added to help in the determination of the damping exponential. Voltage (V) 7 M CE 0 -1 0 0.002 0.004
A circuit response is shown in Figure \(P_{5}=31\) that occurs when one exponential stops and another begins where the prior one left off. Determine an approximate expression for the waveform.
An object-detection radar for a drone sends out the signal shown in Figure P \(5=32\).(a) Write an expression for the first two pulses of the signal.(b) To avoid ambiguity, the radar receiver only
Find \(V_{\mathrm{MAX}}, V_{\mathrm{MIN}}, V_{\mathrm{p}}, V_{\mathrm{pp}}, V_{\text {avg }}\), and \(V_{\mathrm{rms}}\) for each of the following sinusoids.(a) \(v_{1}(t)=84.84 \cos (120 \pi
An exponential waveform given by \(i(t)=250 e^{-1000 t} u(\) \(t\) ) \(\mathrm{mA}\) repeats every five time constants.(a) Find \(I_{\mathrm{p}}, I_{\mathrm{pp}}, I_{\mathrm{MAX}}\), and
Find \(V_{\text {MAX }}, V_{\text {MIN }}, V_{\mathrm{p}}, V_{\mathrm{pp}}, V_{\text {avg }}, V_{\mathrm{rms}}\), and \(T_{\mathrm{o}}\) for the periodic waveform in Figure \(\mathrm{P} 5=35\). v(1)
Figure \(\mathrm{P}_{5}=36\) is the result of the sum of a fundamental and one of its harmonics (an integer multiple of the fundamental). Find \(V_{\text {MAX }}, V_{\text {MIN }}, V_{\mathrm{p}},
Figure P \(5=37\) displays the response of a circuit to a square wave signal. The response is a periodic sequence of exponential waveforms. Each exponential has a time constant of \(1.6
Find \(V_{\text {MAX }}, V_{\text {MIN }}, V_{\text {avg }}\), and \(V_{\text {rms }}\) of the offset sine wave \(v(t)=V_{\mathrm{O}}+V_{\mathrm{A}} \cos \left(2 \pi t / T_{\mathrm{o}}ight)
An offset sinewave is input into an inverter with gain of -10 . The OP AMP has a \(V_{\mathrm{CC}}\) of \(\pm 12 \mathrm{~V}\). The output is shown ( Figure \(\mathrm{P}_{5}=3.9\).).(a) Determine the
A periodic waveform can be expressed as \(v(t)=-5+20\) \(\cos 500 \pi t-10 \sin 1000 \pi t+5 \cos 2000 \pi t \mathrm{~V}\)(a) What is the period of the waveform? What is the average value of the
(a) Using Multisim and doing a parameter sweep from \(1 \Omega\). to \(1 \mathrm{M} \Omega\). of \(R_{\mathrm{S}}\) for the circuit of Figure \(\mathrm{P}_{3}-61\), find the value of
A 1-k \(\Omega\) load needs \(10 \mathrm{~mA}\) to operate correctly. Design a practical power source to provide the needed current. The smallest source resistance you can practically design for is
A10-V source is shown in Figure P3–63 that is used to power a 100-Ω load. Clearly, the load does not match the source resistance for maximum power. A young engineer decides to obtain maximum
(a) Select \(R_{\mathrm{L}}\) and design an interface circuit for the circuit shown in Figure P \(3=64\) so that the load voltage is 2 \(\mathrm{V}\).(b) Suppose that the load was set at \(15
A particular instrument can be modeled as a \(470-\Omega\) resistor. It is protected by a \(50-\mathrm{mA}\) fuse with negligible resistance. It needs \(1 \mathrm{~W}\) to operate correctly. The
There is a need to deliver \(5 \mathrm{~V}\) to a 100- \(\Omega\) load. There are two sources available that can satisfy the task as shown in Figure P3-66.(a) Design an appropriate interface for each
Design the interface circuit in Figure P3-67. so that the voltage delivered to the load is \(v=10 \mathrm{~V} \pm 10 \%\). Use one or more of only the following standard resistors: \(1.3 \mathrm{k}
In this problem, you will design two interface circuits that deliver \(15 \mathrm{~V}\) to the \(5-\mathrm{k} \Omega\) load shown in Figure \(\mathrm{P}_{3}=\) 68.(a) Design a series resistor
The bridge-T attenuation pad shown in Figure P3 3 -69 was found in a drawer. You need an attenuation pad that would match to a \(75-\Omega\) source and a \(75-\Omega\) load and provide for a - 12-dB
Design two interface circuits in Figure P3=70 so that the power delivered to the load is \(100 \mathrm{~mW}\). In one case use a series interface resistor, and in the second case use a parallel
Design the interface circuit in Figure P \(3=71\) so that \(R_{\text {IN }}=100 \Omega\) and the current delivered to the \(50-\Omega\) load is \(i\) \(=50 \mathrm{~mA}\). 15 V + 100 (2 RIN Interface
Design the interface circuit in Figure P3=71 so that \(R\) OUT \(=50 \Omega\) and the voltage delivered to the \(50-\Omega\) load is \(v=\) 2.5V. 15 V + 100 (2 Ww RIN Interface. circuit ROUT 50 22
It is claimed that both interface circuits in Figure \(\underline{P}_{3}=7.3\) will deliver \(v=5 \mathrm{~V}\) to the \(75-\Omega\) load. Verify this claim. Which interface circuit consumes the
In Figure P3=74, a two-port attenuator connects a \(600-\Omega\) source to a \(600-\Omega\) load. Find the power delivered to the load in terms of \(v_{\mathrm{S}}\). Remove the attenuator and find
Using no more than three \(75-\Omega\) resistors, design the interface circuit in Figure P \(3=76\) so that \(v \leq 4 \mathrm{~V}\) and \(i \leq 50 \mathrm{~mA}\) regardless of the value of
A satellite requires a battery with an open-circuit voltage \(v_{\mathrm{OC}}=\) \(36 \mathrm{~V}\) and a Thévenin resistance \(R_{\mathrm{T}} \leq 102\). The battery is to be constructed using
A requirement exists for a circuit to deliver o to \(6 \mathrm{~V}\) to a \(100-\Omega\) load from a \(24-\mathrm{V}\) source rated at \(3.0 \mathrm{~W}\). Two proposed circuits are shown in Figure P
The output of a transistorized power supply is modeled by the Norton equivalent circuit shown in Figure P3=79. Two teams are competing to design the interface circuit so that \(25 \mathrm{~mW} \pm\)
Figure \(\mathrm{P}_{3}-80\) displays two generalized interface circuit designs. In both circuits, resistors \(R_{1}\) and \(R_{2}\) connect a Thévenin equivalent circuit to a load resistor. Using
Figure P3-81 shows a circuit with two sources, a fixed load and a resistor \(R\). Select \(R\) for minimum power transfer to the load. Simulate in Multisim using the "Parameter sweep" under
A noninverting summer interface device is shown in Figure \(\mathrm{P}_{3}=\) 82. Of importance is that the input to the device has infinite resistance-that is, no current flows into the device. The
Figure P \(_{3}-83\) shows a two-way splitter. It takes the input \(V_{\text {IN }}\) and splits it in half delivering it to outputs 1 and 2. The input source resistance and each of the output
Find the voltage gain \(v_{\mathrm{O}} / v_{\mathrm{S}}\) and current gain \(i_{\mathrm{O}} / i_{\mathrm{X}}\) in Figure P4-1 for \(r=20 \mathrm{k} \Omega\). + 200 300 +1 500 io + rix 2k vo
Find the voltage gain \(v_{\mathrm{O}} / v_{1}\) and the current gain \(i_{\mathrm{O}} / i_{\mathrm{S}}\) in Figure P4-2 . For \(i_{\mathrm{S}}=10 \mathrm{~mA}\), find the power supplied by the input
For the circuit in Figure P4=3 :(a) Formulate node-voltage equations, do not solve them.(b) Perform a source transformation on the input and dependent-source circuits and then formulate a meshcurrent
Find the voltage gain \(v_{\mathrm{O}} / v_{\mathrm{S}}\) in Figure \(\mathrm{P}_{4}-4\). R$ www VX 10 Rp ww Vy H1Vx RK www RL HVY VO | 0
(a) Find an expression for the current gain \(i_{\mathrm{O}} / i_{\mathrm{S}}\) in Figure P4=5 (a).(b) Find an expression for the current gain \(i_{\mathrm{O}} / i_{\mathrm{S}}\) in Figure
(a) Find the voltage \(v_{\mathrm{O}}\) in Figure P4-6.(b) Validate your answer by simulating the circuit in Multisim. 3V 1.2 10-vx 1 + . 4.7 o+ VO
(a) Find an expression for the gain \(i_{\mathrm{O}} / v_{\mathrm{S}}\) Figure \(\mathrm{P}_{4}=7\) in terms of \(R_{\mathrm{X}}\).(b) Select a value for \(R_{\mathrm{X}}\) so that the gain is -0.002
(a) Find an expression for the voltage gain \(v_{\mathrm{O}} / v_{\mathrm{S}}\) in Figure P4-8.(b) Let \(R_{\mathrm{S}}=1 \mathrm{k} \Omega, R_{\mathrm{L}}=100 \Omega\) and \(\mu=50\). Find the
Consider the dependent source circuit of Figure P4=9.(a) Find a relationship between the transconductance gg and the output vOvO.(b) Use this relationship to find the value of gg that would give
Find the Thévenin equivalent circuit that the load \(R_{\mathrm{L}}\) sees in Figure P4-10 . Repeat the problem with \(R_{\mathrm{F}}\) replaced by an open circuit. VS Rs www + Vx RE + D Rp www HVx
For the circuit in Figure P4-11:(a) Find the Thévenin equivalent circuit that the load \(R_{\mathrm{L}}\) sees.(b) Then if \(R_{\mathrm{P}}=R_{\mathrm{S}}=R_{\mathrm{L}}=200 \Omega, r=5 \mathrm{k}
You are a teaching assistant and you administered a quiz for your instructor. The quiz asked the students to find the input resistance to the circuit in Figure P4-12. One of your students said the
Find the Norton equivalent circuit seen by the load in Figure P4-13 . R$ w + Rp w Ro rix V Load
Find the Thévenin equivalent circuit seen by the load in Figure P4-14. is R www 1 Ro ww Load
The circuit parameters in Figure \(\mathrm{P}_{4}-15\) are \(R_{\mathrm{B}}=90\) \(\mathrm{k} \Omega, R_{\mathrm{C}}=3.3 \mathrm{k} \Omega, \beta=110, V_{\gamma}=0.7 \mathrm{~V}\), and
The circuit parameters in Figure P4-15 are \(R_{C}=2\) \(\mathrm{k} \Omega, \beta=90, V_{\gamma}=0.7 \mathrm{~V}\), and \(V_{\mathrm{CC}}=5 \mathrm{~V}\). Select a value of \(R_{\mathrm{B}}\) such
The parameters of the transistor in Figure P4-17 are \(\beta=100\) and \(V_{\mathrm{Y}}=0.7 \mathrm{~V}\). Find \(i_{\mathrm{C}}\) and \(v_{\mathrm{CE}}\) for \(v_{\mathrm{S}}=0.8 \mathrm{~V}\).
An emergency indicator light uses a bright \(15 \mathrm{~V} @ 0.5 \mathrm{~W}\) LED indicator. It is to be ON when a digital output is high (5 V). The digital circuit does not have sufficient power
Find the voltage gain of each OP AMP circuit shown in Figure P4-19. Vs 10 10 + VS 63 + (2) 63 + (b) VO +
Considering simplicity and standard 10\% tolerance resistors from Appendix G as major constraints, design circuits with a single OP AMP that produce the following voltage gains \(\pm 10
Two OP AMP circuits are shown in Figure P4-21. Both claim to produce a gain of either \(\pm 100\).(a) Show that the claim is true.(b) A practical source with a series resistor of \(1 \mathrm{k}
Suppose the output of the practical source shown in Figure P4-21 needs to be amplified by \(-10^{4}\) and you can use only the two circuits shown. How would you connect the circuits to achieve this?
(a) Find the voltage gain \(v_{\mathrm{O}} / v_{\mathrm{S}}\) in Figure \(\mathrm{P}_{4}=23\). What is the range of the input that can be amplified without causing the OP AMP to saturate?(b) Validate
(a) Using only one OP AMP, design a simple circuit that has a variable gain from -10 to -500 .(b) Using only one OP AMP, design a simple circuit that has a variable gain from +10 to +500 .
Using only one OP AMP per circuit with a \(V_{\mathrm{CC}}\) of \(\pm 15 \mathrm{~V}\), design circuits that realize the following equations:\[\begin{aligned}& v_{\mathrm{O}}=5 v_{1}-3.3 \mathrm{~V}
Two non-OP AMP circuits need to be connected in cascade. Explain why using a follower is more useful than simply connecting the two circuits using wires. Are there any downsides to using a follower?
For the circuit in Figure P4-27:(a) Find \(v_{\mathrm{O}}\) in terms of \(v_{\mathrm{S}}\).(b) Find \(i_{\mathrm{O}}\) for \(v_{\mathrm{S}}=1 \mathrm{~V}\). Repeat for \(v_{\mathrm{S}}=3
For the circuit in Figure P4-28 :(a) Find \(v_{\mathrm{O}}\) in terms \(v_{\mathrm{S}}\).(b) Find \(i_{\mathrm{O}}\) and \(v_{\mathrm{O}}\) for \(v_{\mathrm{S}}=1 \mathrm{~V}\). Repeat for
Design two circuits to produce the following out-put: \(v_{\mathrm{O}}=2 v_{1}-4 v_{2}\).(a) In your first design, use a standard subtractor.(b) In your second design, both inputs must be into high
Design a noninverting summer for five inputs with equal gains of 5 .
For the circuit in Figure P4=31 :(a) Find \(v_{\mathrm{O}}\) in terms of the inputs \(v_{1}\) and \(v_{2}\).(b) If \(v_{1}=1 \mathrm{~V}\), what is the range of values \(v_{2}\) can have without
Find \(v_{\mathrm{O}}\) in terms of the inputs \(v_{1}, v_{2}\), and \(v_{3}\) in Figure \(\underline{P}_{4}=3 \underline{2}\). + V 1 5 V3 5 2.5 30 30 VO
The switch in Figure \(\mathrm{P}_{4}=33\) is open. Find \(v_{\mathrm{O}}\) in terms of the inputs \(v_{\mathrm{S} 1}\) and \(v_{\mathrm{S} 2}\). Repeat with the switch closed. (+1 +1 | VS1 | VS2 15
(a) Design an OP AMP circuit that realizes the block diagram shown in Figure P4=34. Do not use more than two OP AMPs in your design.(b) Can you do the design with only one OP AMP?(c) Simulate your
Design an OP AMP circuit that realizes the block diagram shown in Figure P4=35 . The OP AMPs that you must use have a maximum gain of 3000 . VS o 3 x 107 -Vo
For the circuit in Figure P4=3(a) Find \(v_{\mathrm{O}}\) in terms of \(v_{\mathrm{S} 1}\) and \(v_{\mathrm{S} 2}\).(b) Select values so that \(v_{\mathrm{O}}=v_{\mathrm{S} 1}+9 v_{\mathrm{S} 2}\).
The circuit in Figure P4=37 has a diode in its feedback path and is called a "log-amp" because its output is proportional to the natural \(\log\) of the input.(a) Show that \({
(a) Use node-voltage analysis to find the input-output relationship or \(K\) of the circuit in Figure P4 \(4 \underline{3}\).(b) Select values for the resistors so that \(K=-100\). + VS R R ww R3 ww
For the circuit of Figure P4=3.9:(a) With \(v_{2}=2 \mathrm{~V}\), find the output in terms of \(v_{1}\). Is there a value of \(v_{1}\) that would cause the output to saturate?(b) Draw a block
For the circuit of Figure P4-4으 :(a) Find the output in terms of \(v_{\mathrm{S}}\).(b) Draw a block diagram for the circuit. VS 100 50 50 o + Vo 100 200
For the block diagram of Figure P4-41 :(a) Find an expression for \(v_{\mathrm{O}}\) in terms of \(v_{1}\) and \(v_{2}\).(b) Design a suitable circuit that realizes the block diagram using only one
(D) A certain transducer, shown in Figure P4-42, needs a circuit that realizes the following interface \(v_{\mathrm{O}}=1000 v\) TR \(+0.75 \mathrm{~V}\). A search in a vendor's catalog showed that
On a quiz, an instructor asked the students to draw a circuit that would realize the block diagram shown in Figure P4-43(a). One student drew the circuit shown in Figure P4-43(b). Another student
On an exam, students were asked to design an efficient solution for the following relationship: \(v_{2}=3 v_{1}+15\). Two of the designs are shown in Figure P4-44. Which, if any, of the designs are
For the circuit of Figure P4-45:(a) Simplify the circuit to using only one OP AMP.(b) Draw a representative block diagram for the circuit. +1 5V 33 33 33 33 33 33
Faced with having to construct the circuit in Figure \(\underline{P}_{4}-46\) (a), a student offers to build the circuit in Figure P4-4 (b) claiming that it performs the same task. As the teaching
Design a single OP AMP amplifier with a voltage gain of -2500 and an input resistance greater than \(3 \mathrm{k} \Omega\) using standard \(5 \%\) resistance values not greater than \(10 \mathrm{M}
Design an OP AMP amplifier with a voltage gain of 5 using only \(15-\mathrm{k} \Omega\) resistors and one OP AMP.
Using a single OP AMP, design a circuit with inputs \(v_{1}\) and \(v_{2}\) and an output \(v_{\mathrm{O}}=v_{2}-5 v_{1}\). The input resistance seen by each input should be greater than \(1
(a) Using two OP AMPs, design an OP AMP circuit with inputs \(v_{1}, v_{2}\), and \(100 \mathrm{mV}\) and an output of \(v_{\mathrm{O}}=-3 v_{1}+2\) \(v_{2}-300 \mathrm{mV}\).(b) Assuming that you
The OP AMP circuit shown in Figure P4=51 has the following input-output relationship:\[v_{\mathrm{O}}=-\frac{\left(R_{\mathrm{X}} R_{\mathrm{Y}}+R_{\mathrm{X}} R_{\mathrm{Z}}+R_{\mathrm{Y}}
Design a cascaded OP AMP circuit that will produce the output \(v_{\mathrm{O}}=25 \times 10^{9} v_{\mathrm{S}}+2.5 \mathrm{~V}\). The maximum gain for the OP AMPs available is 10,000. The input stage
Design a cascaded OP AMP circuit that will produce the following output \(v_{\mathrm{O}}=-3.5 \times 10^{6} v_{\mathrm{S}}-1.5 \mathrm{~V}\). The maximum gain for an OP AMP is 10,000. The input stage
Using the instrumentation amplifier shown in Figure 4=78 ( Example 4-27), design a circuit that will produce the output \(v_{\mathrm{O}}=5 \times 10^{5}\left(v_{1}-v_{2}ight)\). No single OP AMP can
Design the interface circuit in Figure P4=55 so that the output is \(v_{2}=10^{4} v_{1}-5.0 \mathrm{~V}\). +1 50 V1 + 15 V Interface circuit V+A V2 50
(a) Design a circuit that can produce \(v_{\mathrm{O}}=2000 v_{\mathrm{TR}}-\) 2.6 V using two OP AMPs. The input resistance must be greater than \(10 \mathrm{k} \Omega\). for \(v_{\mathrm{TR}}\).
A requirement exists for an OP AMP circuit with the input-output relationship\[v_{\mathrm{O}}=10 v_{\mathrm{S} 1}-5 v_{\mathrm{S} 2}\]Three proposed designs are shown in Figure P4=57. As the project
A requirement exists for an OP AMP circuit to deliver \(12 \mathrm{~V}\) to a \(1-\mathrm{k} \Omega\) load using a \(4-\mathrm{V}\) source as an input voltage. Two proposed designs are shown in
The analog output of a five-bit DAC is \(2.8125 \mathrm{~V}\) when the input code is \((1,0,0,1,0)\). What is the full-scale output of the DAC? How much does the analog output change when the input
An \(R-2 R\) DAC is shown in Figure P4-60. The digital voltages \(v_{1}, v_{2}\), etc., can be either \(5 \mathrm{~V}\) for a logic 1 or \(\mathrm{O} \mathrm{V}\) for a logic 0 . What is the DAC's
A fifth bit is added to the \(R-2 R\) DAC shown in Figure \(\mathrm{P} 4-60\). What is the aximum possible magnitude of the output voltage? What is the resolution of the revised DAC? + V 5 +0 V2 + V3
(a) An iron-copper nickel (Fe-CuNi) thermocouple (Type J) needs to be used to measure temperatures between \(200^{\circ} \mathrm{C}\) and \(1200^{\circ} \mathrm{C}\). Its output will be used as an
An analog accelerometer produces a continuous voltage that is proportional to acceleration in gravitational units or \(\mathrm{g}\). Figure P4-63 shows the characteristics of the accelerometer in
A commercial delivery drone needs a small pressure transducer to measure its altitude. A particular sensor is found that meets the basic specs. It can measure pressures of \(15 \mathrm{kPa}\) (2.18

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