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computer science
systems analysis design

Questions and Answers of Systems Analysis Design

It is claimed that both circuits in Figure P11-65 realize the transfer function(a) verify that both circuits realize the specified \(T_{\mathrm{V}}(s)\).(b) Which circuit would you choose if the
(a) Design a passive circuit that produces the following step response with all inductors having \(L=1 \mathrm{H}\).(b) validate your design using Multisim. g(t) = 2[e-50r e-100 ]u(t) -
A circuit is needed that will take an input of \(v_{1}(t)=\left[1-e^{-10,000} tight] u(t) \mathrm{V}\) and produce a constant \(-2 \mathrm{~V}\) output. Design such a circuit using practical parts
There is a need for a circuit with the following transfer function that must connect to a \(50-\Omega\) input and a \(1-\mathrm{k} \Omega\) load.In a parts catalog, your supervisor points out that
Figure P11-70 shows an interconnection of three basic OP AMP modules.(a) Does this interconnection involve loading?(b) Find the overall transfer function of the interconnection and locate its poles
Figure P11-71 shows an interconnection of three basic circuit modules. Does this interconnection involve loading? Find the overall transfer function of the interconnection and locate its poles and
A particular circuit needs to be designed that has the following transfer function requirements:Poles at \(s=-100\) and \(s=-10,000\); zeros at \(s=0\) and \(s=-1000\); and a gain of 50 as \(s
A circuit designer often is faced with deciding which analysis technique to use when attempting to solve a circuit problem. In this problem we will look at the circuit in Figure P11-7.3 and choose
There was a small black box that could not be opened to determine what was inside, but there were four terminals visible and accessible. A pair were marked input, the other pair were marked output.
Figure P11-7.5 shows the step response \(g(t)\) of a circuit.(a) From the graph, locate the step response poles on a pole-zero diagram.(b) From the graph, determine the circuit's rise time
How many \(500-\mathrm{MHz} 5 \mathrm{G}\) channels will be able to fit in the newly allocated C-band spectrum of \(3.7 \mathrm{GHz}\) to \(4.2 \mathrm{GHz}\) assuming no frequency space between
The US Navy talks to submerged submarines by using super low frequencies (SLF) that range from 30 to \(300 \mathrm{~Hz}\).Electromagnetic waves can penetrate a conducting medium, like seawater, up to
Blue light has a wavelength of \(400 \mathrm{~nm}\). What is its frequency and how much energy does it have?
Early telephone systems restricted voice signals to \(3 \mathrm{kHz}\) and added a \(1 \mathrm{kHz}\) guard band to keep signals separated. Those systems (and most land lines even today) use
Computer Axial Tomography (CAT) scans are invaluable medical diagnosis tools. They use X-rays with wavelengths between \(0.1 \mathrm{~nm}\) and \(10 \mathrm{~nm}\). What are the frequencies they
A transfer function has a passband gain of 500. At a particular frequency in its stopband, the gain of the transfer function is only 0.00025 . By how many decibels does the gain of the passband
A particular filter is said to be \(12 \mathrm{~dB}\) down at a desired stop frequency. How many times reduced is a signal at that frequency compared to a signal in the filter's passband?
A certain low-pass filter has the Bode diagram shown in Figure P12-8.(a) At what frequency is the filter \(10 \mathrm{~dB}\) down?(b) Estimate where the cutoff frequency occurs, then determine how
Find the transfer function \(T_{\mathrm{V}}(s)=V_{2}(s) / V_{1}(s)\) of the circuit in Figure P12-9.(a) Find the dc gain, infinite frequency gain, and cutoff frequency. Identify the type of gain
Find the transfer function \(T_{\mathrm{V}}(s)=V_{2}(s) / V_{1}(s\) ) of the circuit in Figure P12-10.(a) Find the dc gain, infinite frequency gain, and cutoff frequency. Identify the type of gain
Find the transfer function \(T_{\mathrm{V}}(s)=V_{2}(s) / V_{1}(s\) ) of the circuit in Figure P12-11.(a) Find the dc gain, infinite frequency gain, and cutoff frequency. Identify the type of gain
Design a high-pass filter with a cutoff frequency of \(15.9 \mathrm{kHz}\) and a passband gain of 5 . Find the transfer function of your design and validate your design using MATLAB.
Design a low-pass filter with a cutoff frequency of \(50 \mathrm{krad} / \mathrm{s}\) and a passband gain of 200. Validate your design using Multisim. All \(R\) 's must be \(\geq 10 \mathrm{k}
Your task is to connect the modules in Figure P12-14. so that the gain of the transfer function is 5 and the cutoff frequency of the filter is \(500 \mathrm{rad} / \mathrm{s}\) when connected between
A young designer needed to design a low-pass filter with a cutoff of \(1 \mathrm{krad} / \mathrm{s}\) and a gain of -5 . The filter is to fit as an interface between the source and the load. The
Design an RCRC low-pass first-order filter with a cutoff frequency of 100krad/s100krad/s and a passband gain of +50 . What is the minimum GBGB that the OP AMP must have to not affect the filter's
Figure P12-17 shows the Bode characteristics of three one-pole circuits. Find the transfer functions for each circuit, then determine each circuit's gain and cutoff frequency. System T1 is in blue,
Find the transfer function \(T y(s)=V_{2}(s) / V_{1}(s)\) of the circuit in Figure P12-18.(a) Find the dc gain, infinite frequency gain, and cutoff frequency. Identify the type of gain response.(b)
(a) Find the transfer function TV(s)=V2(s)/V1(s)TV(s)=V2(s)/V1(s) of the circuit in Figure P12-19.(b) What type of gain response does the circuit have?(c) What is the passband gain?(d) Design a
A first-order high-pass circuit has a passband gain of \(20 \mathrm{~dB}\) and a cutoff frequency of \(1000 \mathrm{rad} / \mathrm{s}\).(a) Find the circuit's transfer function.(b) Find the gain (in
For a series \(R C\) circuit, find \(Z_{\mathrm{EQ}}(s)\) and then select \(R\) and \(C\) so that there is a pole at \(s=0\) and a zero at \(s=\) \(-10 \mathrm{krad} / \mathrm{s}\).
For the circuit of Figure P10-2 :(a) Find and express \(Z_{\mathrm{EQ}}(s)\) as a rational function and locate its poles and zeros.(b) Select values of \(R\) and \(C\) to locate a pole at \(s=-56\)
For the circuit of Figure P10-3 :(a) Find and express \(Z_{\mathrm{EQ}}(s)\) as a rational function and locate its poles and zeros.(b) Select values of \(R\) and \(C\) to locate a zero at \(s=-330\)
For the circuit in Figure P10-4:(a) Find and express \(Z_{\mathrm{EQ}}(s)\) as a rational function and locate its poles and zeros.(b) Select values of \(R\) and \(C\) to locate a zero at \(s=-3.0\)
Consider the circuits in Figure P10-6 and answer the following questions.(a) What is the maximum number of poles possible for each of the circuits?(b) Can any of the circuits shown have an unstable
For the circuit of Figure P10-7:(a) Find and express \(Z_{\mathrm{EQ}}(s)\) as a rational function and locate its poles and zeros.(b) Select values of \(R\) and \(L\) to locate a pole at \(-1.5
The shaded part of the circuit in Figure P10-8 is called a tank circuit. It is used in AM radios to tune to the intermediate frequency (IF) allowing the transmitted signal to be received. The IF is
For the circuit of Figure P10-9:(a) If \(R=560 \Omega, L=2 \mathrm{H}\), and \(C=0.5 \mu \mathrm{F}\) locate the poles and zeros of \(Z_{\mathrm{EQ}}(s)\) ?(b) If we were to increase the resistance
(a) Find \(Z_{\mathrm{EQ} 1}(s)\) and \(Z_{\mathrm{EQ} 2}(s)\) for the bridge-T circuit in Figure P10-10 . Express each impedance as a rationalfunction and locate its poles and zeros.(b) Suppose the
For the two-port circuit of Figure P10-11:(a) Find \(Z_{\mathrm{EQ} 1}(s)\) and \(Z_{\mathrm{EQ} 2}(s)\), and express each impedance as a rational function and locate its poles and zeros.(b) Select
Find the equivalent impedance between terminals 1 and 2 in Figure P10-12. Select values of \(R\) and \(L\) so that \(Z_{\mathrm{EQ}}(s)\) has a pole at \(s=-33 \mathrm{krad} / \mathrm{s}\). Locate
For the circuit of Figure P10-14:(a) Use voltage division to find \(V_{\mathrm{O}}(s)\).(b) Use the lookback method to find \(Z_{\mathrm{T}}(s)\).
Find the Norton equivalent for the circuit in Figure P10-16. Convert the Norton equivalent circuit to its Thévenin equivalent. Then select values for \(R\) and \(L\) so that the Thévenin voltage
The circuit in Figure P10-16 has \(R=10 \mathrm{k} \Omega\) and \(L\) \(=5 \mathrm{H}\). A load is connected across the output equal to \(Z_{\mathrm{L}}(s)=s\) \(+500 \Omega\). Identify the natural
If the input to the \(R L C\) circuit of Figure P10-18 is \(v_{\mathrm{S}}(t)\) \(=u(t)\) :(a) Find the output voltage transform across each element.(b) Compare the three outputs with regard to their
If the input to the \(R L C\) circuit of Figure \(\mathrm{P}_{10-18}\) is \(v_{\mathrm{S}}(i)=u(t)\) :(a) Find the output voltage transform \(V_{\mathrm{LC}}(s)\) across \(L\) and \(C\) taken
The switch in Figure P10-20 has been in position A for a long time and is moved to position \(\mathrm{B}\) at \(t=0\). Transform the circuit into the s domain and solve for \(I_{\mathrm{L}}(s),
The switch in Figure P10-22 has been in position A for a long time and is moved to position \(\mathrm{B}\) at \(t=0\). Transform the circuit into the s domain and solve for \(I_{\mathrm{C}}(s),
The switch in Figure P10-22 has been in position \(\mathrm{B}\) for a long time and is moved to position A at \(t=0\). Transform the circuit into the s domain and solve for \(V_{\mathrm{C}}(s),
Transform the circuit in Figure P10-24 into the \(\mathrm{s}\) domain and find: \(I_{\mathrm{L}}(s)\) and \(I_{\mathrm{L}}(t)\), when \(v_{1}(t)=V_{\mathrm{A}} e^{-1000} t\), \(R=200 \Omega, L=200
The switch in Figure P10-26 has been in position A for a long time and is moved to position \(\mathrm{B}\) at \(t=0\).(a) Transform the circuit into the \(s\) domain and solve for \(I_{\mathrm{L}}\)
The circuit in Figure P10-28 is in the zero state. The network function \(K=V_{\mathrm{O}}(s) / I_{1}(s)\) for the circuit is (a) Select \(R\) and \(C\) so that there is a pole at \(-1000
The initial conditions for the circuit in Figure P10-29. are \(v_{\mathrm{C}}(\mathrm{O})=\mathrm{O}\) and \(i_{\mathrm{L}}(\mathrm{O})=I_{\mathrm{O}}\). Transform the circuit into the \(s\) domain
The initial conditions for the circuit in Figure P10-29. are \(v_{\mathrm{C}}(\mathrm{O})=\mathrm{o}\) and \(i_{\mathrm{L}}(\mathrm{O})=I_{\mathrm{O}}\). Transform the circuit into the \(s\) domain
There is no energy stored in the capacitor in Figure P1032 at \(t=0\). Transform the circuit into the \(s\) domain and use current division to find \(v_{\mathrm{O}}(t)\) when the input is
Repeat Problem 10-32 when \(i_{\mathrm{S}}(t)=10\) sin \(1000 t u(t) \mathrm{mA}\).Data From Problem 10-32There is no energy stored in the capacitor in Figure P1032 at \(t=0\). Transform the circuit
For the circuit of Figure P10-34:(a) Find the Thévenin equivalent circuit that the \(R_{X}\) load resistor sees when \(v_{\mathrm{C}}(\mathrm{o})=V_{\mathrm{O}} \mathrm{V}\).(b) If the output
(a) The circuit in Figure P10-35 is in the zero state. Find the Thévenin equivalent to the left of the interface.(b) A \(0.22-\mu \mathrm{F}\) capacitor is connected across the interface in Figure
Select a value of \(C\) in Figure P10-3 3 so that \(V_{\mathrm{O}}(s) /\) \(V_{\mathrm{S}}(s)\) has a natural pole at \(s=-10 \mathrm{Mrad} / \mathrm{s}\).
Find the required impedance \(Z_{\mathrm{X}}(s)\) that needs to be inserted in series as shown in Figure P10-37. to make the output voltage equal to V(s) = s(s+1000) s + 2000s + 106 V(s)
The equivalent impedance between a pair of terminals is(a) A voltage \(v(t)=20 e^{-1000 t} u(t)\) is applied across the terminals. Find the resulting current response \(i(t)\).(b) Plot the pole-zero
There is no initial energy stored in the circuit in Figure P10-39. Use circuit reduction to find the output network function \(V_{2}(s) / V_{1}(s)\). Then select values of \(R\) and \(C\) so that the
Refer to the dependent-source circuit in Figure \(\underline{\mathrm{P} 10-40}\).(a) Find \(V_{\mathrm{O}}(s)\) in terms of the input and the elements for the zero state.(b) Locate the natural poles
There is no initial energy stored in the circuit in Figure P10-41.(a) Transform the circuit into the \(s\) domain and formulate mesh-current equations.(b) Show that the solution of these equations
There is no initial energy stored in the circuit in Figure P10-41.(a) Transform the circuit into the \(s\) domain and formulate node-voltage equations.(b) Show that the solution of these equations
There is no initial energy stored in the circuit in Figure P10-43 .(a) Transform the circuit into the \(s\) domain and formulate node-voltage equations.(b) Solve these equations for \(V_{2}(s)\) in
There is no initial energy stored in the circuit in Figure P10-43 . The Thévenin equivalent circuit to the left of point A when a unit step is applied isSelect values for \(R_{2}\) and \(C_{2}\)
There is no initial energy stored in the bridged-T circuit in Figure P10-45 .(a) Transform the circuit into the \(s\) domain and formulate node-voltage equations.(b) Use the node-voltage equations to
For the dependent source circuit in Figure P10-4 \(\underline{6}\) write a set of node-voltage equations. But first do a source conversion for the capacitors (they have the same value but different
There is no initial energy stored in the circuit in Figure P10-4.7.(a) Find the zero-state mesh currents \(i_{\mathrm{A}}(t)\) and \(i_{\mathrm{B}}(t)\) when \(v_{1}(t)=25 u(t) \mathrm{V}\).(b) Find
There is no external input in the circuit in Figure P10\(4 \underline{8}\).(a) Find the zero-input node voltages \(v_{\mathrm{A}}(t)\) and \(v_{\mathrm{B}}(t)\), and the voltage across the capacitor
Use mesh-current equations to find the three mesh currents in Figure P10-4.9. Find \(V_{\mathrm{X}}(s)\) and \(I_{\mathrm{X}}(s)\). Repeat the problem using node-voltage analysis. Which analysis
The circuit in Figure P10-50 is in the zero state. Use mesh-current equations to find the circuit determinant. Select values of \(R, L\), and \(C\) so that the circuit has(a) \(\omega_{0}=40
What is the main purpose of conductors bundling in transmission lines?1) Decreasing inductive reactance of transmission line 2) Decreasing resistance of transmission line 3) Decreasing Corona power
Determine the Geometrical Mean Radius (GMR) of the conductors with the arrangements shown in Fig. 3.1. The Geometrical Mean Radius (GMR) of each conductor is \(r^{\prime}\).1) \(r^{\prime}
Which one of the following choices is correct about the effect of bundling of conductors of a transmission line on its inductance, capacitance, and characteristic impedance?1) Decrease, decrease, no
Determine the Geometrical Mean Radius (GMR) of the conductors with the arrangements shown in Fig. 3.2. The Geometrical Mean Radius (GMR) of each conductor is \(r^{\prime}\).1) \(\sqrt[8]{2 r^{6}
Determine the Geometrical Mean Radius (GMR) of the conductors with the arrangements shown in Fig. 3.3.The radius of each conductor is \(r\).1) \(1.722 r\)2) \(1.834 r\)3) \(1.725 r\)4) \(1.532 r\)
Figure 3.4 shows a single-phase transmission line including two conductors (" 1 " and " 3 ") for sending power and one conductor ("2") for receiving power. The Geometrical Mean Radius (GMR) of each
Figure 3.5 shows a single-phase transmission line. Herein, conductor " 1 " is for sending power, and conductors " 2 " and " 3 " are for receiving power. The Geometrical Mean Radius (GMR) of each
What difference can we see in the capacitance of a transmission line if we change the conductor arrangements from the two-bundling to the three-bundling, as can be seen in Fig. 3.6? The Geometrical
Figure 3.7 illustrates two single-phase transmission lines. The Geometrical Mean Radius (GMR) of each conductor is \(r^{\prime}\). In Fig. 3.7 (b), conductors " 2 " and " 3 " are for sending power,
Figure 3.8 shows a single-phase line including two conductors ("2" and " 3 ") for sending and one conductor (" 1 ") for receiving power. The Geometrical Mean Radius (GMR) of each conductor is
Figure 3.9 illustrates two three-phase transmission lines. The Geometrical Mean Radius (GMR) of each conductor is \(r^{\prime}\) and \(r^{\prime}1) \(d=\frac{r^{\prime}}{\sqrt{2}}\).2) \(d=2
Which one of the arrangements of a three-phase transmission line, shown in Fig. 3.10, has the least inductance and the most capacitance? The Geometrical Mean Radius (GMR) of each conductor is
What difference can we see in the inductance of a transmission line if we change the conductor arrangements from the two-bundling to three-bundling, as can be seen in Fig. 3.11? The Geometrical Mean
Which one of the parameters below can be ignored for a short transmission line?1) Resistance 2) Inductance 3) Reactance 4) Capacitance.
Based on Ferranti effect, which one of the following terms is correct?1) The voltage in the receiving end increases when the transmission line is operated in no-load or low-load conditions.2) The
Which one of the matrices below belongs to a transmission matrix of a real transmission line?1) \(\left[\begin{array}{cc}j & 1 \\ 0 & -j\end{array}ight]\)2) \(\left[\begin{array}{ll}1 & j \\ 2 &
Two power systems have the transmission matrices below. If these systems are cascaded, determine their equivalent transmission matrix:\[\left[T_{1}ight]=\left[\begin{array}{cc}1 & j 2 \\0 &
Calculate the characteristic impedance of a long lossless transmission line that has the inductance and capacitance of about \(1 \mathrm{mH} / \mathrm{meter}\) and \(10 \mu \mathrm{F} /
At the end of a transmission line with the characteristic impedance of \(\mathbf{Z}_{\mathbf{C}}=(1-j) \Omega\), a load with the impedance of \(\mathbf{Z}_{\mathbf{L}}=(1+j) \Omega\) has been
As is shown in Fig. 5.1, a medium transmission line has been presented by its \(\mathrm{T}\) model. Calculate the charging current of the line ( \(\mathbf{I}_{\text {Charging). }}\) ).1) Only
Figure 5.2 shows the single-line diagram of a short transmission line. Determine its transmission matrix.1) \(\left[\begin{array}{cc}1+\mathbf{Y Z} & 1 \\ \mathbf{Z} &
Determine the characteristic impedance of a transmission line that the relation below is true for its parameters:\[\frac{R}{L}=\frac{G}{C}\]1) \(\frac{R}{L}\).2) \(\infty\).3) 0 .4) It is equal to
Figure 5.3 shows the single-line diagram of a short transmission line that a resistor with the resistance of \(R\) has been installed in its middle point. Determine its transmission matrix.1)
Calculate the characteristic impedance of a long transmission line that its transmission matrix is as follows:\[[T]=\left[\begin{array}{cc}\frac{1}{2} & j \\\frac{3}{4} j &
Calculate the charging current ( \(\mathbf{I}_{\text {Charging }}\) ) of a long transmission line.1) \(\frac{\mathbf{V}_{\mathrm{s}} \tanh (\gamma l)}{\mathbf{Z}_{\mathrm{c}}}\)2)
In a long transmission line, consider the definitions below, and choose the correct relation between \(\mathbf{Z}_{\mathbf{C}}, \mathbf{Z}_{\text {S.C. }}\), and \(\mathbf{Z}_{\text {O.C. }}\).
In a long transmission line, the impedance measured from the beginning of the line, when its end is open circuit, is the reciprocal of the impedance measured from the beginning of the line, when its

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