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computer science
systems analysis design
Questions and Answers of
Systems Analysis Design
The impulse response of a linear system is \(h(t)\) \(=A\left[\delta(t)-\alpha e^{-\alpha t} u(t)ight]\), with \(\alpha>0\). Let \(A=10\) and \(\alpha=3\) and use MATLAB to plot \(|H(\omega)|\). On
The impulse response of a linear system is \(h(t)=A\) \([\delta(t)-\sin (\beta t) / \pi t]\). Let \(A=5\) and \(\beta=2\) and use MATLAB to plot \(|H(\omega)|\). On the same axes, plot
Use MATLAB's ifourier function to find the system impulse response \(h(t)\) if the frequency response of a linear system is shown in Figure P18-29. 2 H(0) 1 -2 - 0 + +2 3
Find the \(1-\Omega\) energy carried by the signal \(F(\omega)=25 /\left(\omega^{2}ight.\) \(+625)\).
Compute the \(1-\Omega\) energy carried by the signal \(f(t)=\) \(9 e^{4.5^{t}} u(-t)\).
Find the \(1-\Omega\) energy carried by the signal\[F(\omega)=\frac{j \omega A}{\omega^{2}+\alpha^{2}}\]Then, find the percentage of the \(1-\Omega\) energy carried in the frequency band \(|\omega|
The impulse response of a filter is \(h(t)=3 e^{-200}\) \({ }^{t} u(t)\). Find the \(1-\Omega\) energy in the output signal when the input is \(x(t)=4 e^{-20 t} u(t)\). Verify your result using
The impulse response of a filter is \(h(t)=50 e^{-20 t} u(t)\). Find the \(1-\Omega\) energy in the output signal when the input is \(x(t)\) \(=u(t)\).
The current in a \(50-\mathrm{k} \Omega\) resistor is \(i(t)=-5 u(t+1)\) \(+10 u(t)-5 u(t-1) \mathrm{A}\). Find the total energy delivered to the resistor.
The transfer function of an ideal bandpass filter is \((\omega)\) \(=1\) for \(1800 \leq \omega \leq 2200 \mathrm{rad} / \mathrm{s}\). Use MATLAB to find the \(1-\Omega\) energy carried by the output
Given a rectangular pulse as shown in Figure 13-4, with amplitude A, width \(T\), and period \(T_{0}\), we can compute and plot the coefficients in the corresponding Fourier series. If we allow
Theoretically, an impulse has an amplitude spectrum that is constant at all frequencies. In practice, a constant spectrum across an infinite bandwidth cannot be achieved, nor is it really necessary.
The SDLC is just one model for systems development. Find at least one more and describe the differences.
Draw DFDs for each of these scenarios:(a) A customer goes into a bookshop and asks for this book. The member of staff looks for the book in the online stock catalogue and reports that the book is
Draw a physical DFD to model this vet practice scenario. Hallam Vets consists of two vets plus a receptionist. Both vets maintain records of treatment sessions. In addition, they maintain detailed
Draw an entity model to model the following car rental business scenario:● Cars are always rented from one location and are brought back to the same location.● Customers may pay by cash or credit
Draw an entity model to model this university scenario:● A university department employs lecturers and clerical staff.● It offers a three-year degree.● A student has to take 12 modules during
Logicalize the following, if necessary:● Type and copy invoice● Collate customer details● SR1 form – blue● File details from new customer● View patient’s name and address● Photocopy
Logicalize the mail order book company DFD shown in Figure 4.15 (overleaf). Figure 4.15 Book company DFD. Customer order Sales Verify order M1 Book list Sales File valid orders M2 Customer file
Produce a decision table to model the logic in this scenario: A postal delivery company delivers parcels air or rail transport. The price of delivery by air depends upon the weight of the parcel.
Produce a structured English specification for this scenario: A travel agent has account customers and individual customers. Account customers who have spent over £25,000 in the past year get a
Design a report for the Medical Centre showing the appointments for the following week. The report will be used by the receptionists to check patients as they arrive for their appointment, so
Produce a decision table to model the logic in this scenario: A postal delivery company delivers parcels air or rail transport. The price of delivery by air depends upon the weight of the parcel.
Produce a structured English specification for this scenario: A travel agent has account customers and individual customers. Account customers who have spent over £25,000 in the past year get a
Design a report for the Medical Centre showing the appointments for the following week. The report will be used by the receptionists to check patients as they arrive for their appointment, so
Normalize the following data taken from a student assessment form, bearing in mind that students will take a number of modules:- Student Number- Student Name- Student Address- Module Code- Module
Find the \(y\)-parameters of the two-port network in Figure P17-4. V 16 R BI R R3 ww 18+ V2 19
Find the load impedance \(Z\) for the following complex powers.(a) When \(S=2000+j 2500 \mathrm{VA}\) and \(|\mathbf{V}|=1000 \mathrm{~V}\).(b) When \(|S|=15 \mathrm{kVA}, P=12 \mathrm{~kW}, Q>0\),
An inductive load draws an apparent power of \(50 \mathrm{kVA}\) at a power factor of 0.7 from a \(3600-V(\mathrm{rms})\) source. Find the complex power \(S\) and the load impedance \(Z\).
Design an appropriate load that will draw 15 \(\mathrm{A}(\mathrm{rms}), 6 \mathrm{~kW}\), and \(4.5 \mathrm{kVAR}\) from a \(60-\mathrm{Hz}\) source. Would the components be larger or smaller if the
Design an appropriate load that will draw \(28 \mathrm{~A}\) (rms), \(2.2 \mathrm{~kW}\), at \(110 \mathrm{~V}\) (rms) from a \(400-\mathrm{Hz}\) source. Wha1 is its power factor? Prove your design
A load made up of a \(220-\Omega\) resistor in parallel with a \(200-\mathrm{mH}\) inductor is connected across a \(240-\mathrm{V}(\mathrm{rms}), 50-\mathrm{Hz}\) voltage source. Find the complex
An arc welder presents a load made up of a 100- \(\Omega\) resistor in parallel with a \(12-\mu \mathrm{F}\) capacitor in a \(60-\mathrm{Hz}, 110-\mathrm{V}\) (rms) supply.(a) Find the complex power
In Figure P16-11, the load \(Z_{\mathrm{L}}\) is a \(60-\Omega\) resistor in series with a capacitor whose reactance is \(-30 \Omega\). The source voltage is \(440 \mathrm{~V}\) (rms). Find the
Repeat Problem 16-11 when \(Z_{\mathrm{L}}\) is a \(30-\Omega\) resistor in parallel with an impedance of \(30-j 30 \Omega\).Data From Problem 16-11In Figure P16-11, the load \(Z_{\mathrm{L}}\) is a
In Figure P16-13, the load \(Z_{\mathrm{L}}\) is a 1500- \(\Omega\) resistor and the source voltage is \(440 \mathrm{~V}\) (rms). Find the complex power produced by the source. Vs j100 j100 --j25 92
The circuit in Figure P16-14 shows a power line distribution and an intermediate substation and a final user substation. The source \(\mathbf{V}_{S}\) generates and steps up the voltage to \(400
In Figure P16-15, the three load impedances are \(Z\) \({ }_{1}=20+j 15 \Omega, Z_{2}=25-j 10 \Omega\), and \(Z_{3}=75+j 50 \Omega\). UseMATLAB to solve for the three currents
Two loads are connected in parallel across an \(880 \mathrm{~V}(\mathrm{rms})\) line. The first load draws an average power of \(20 \mathrm{~kW}\) at a lagging power factor of 0.87 . The second load
The average power delivered to the load \(Z_{\mathrm{L}}\) in Figure P16-17 is \(46 \mathrm{~kW}\) at a lagging power factor of 0.7. The load voltage is \(2.4 \mathrm{kV}(\mathrm{rms})\) and the line
Repeat Problem 16-17 if the load power factor is a leading 0.92 .Data From Problem 16-17The average power delivered to the load \(Z_{\mathrm{L}}\) in Figure P16-17 is \(46 \mathrm{~kW}\) at a lagging
In Figure P16-20, the voltage across the two loads is \(\mid V_{\mathrm{L}}\) I \(=4.8 \mathrm{kV}\) (rms). The load \(Z_{1}\) draws an average power of \(15 \mathrm{~kW}\) at a lagging power factor
The two loads in Figure P16-20 draw apparent powers of \(\left|S_{1}ight|=50 \mathrm{kVA}\) at a lagging power factor of 0.72 and | \(S_{2} \mid=25 \mathrm{kVA}\) at unity power factor. The voltage
In Figure P16-22, the load voltage is \(\left|V_{L}ight|=4160 \mathrm{~V}\) (rms) at \(60 \mathrm{~Hz}\) and the load \(Z_{\mathrm{L}}\) draws an average power of 12 \(\mathrm{kW}\) at a lagging
In Figure P16-22, the load voltage is \(\left|V_{\mathrm{L}}ight|=\) \(2400 \mathrm{~V}\) (rms) at 60 Hz. The load \(Z_{\mathrm{L}}\) draws an apparent power of \(25 \mathrm{kVA}\) at a lagging power
A load draws \(4 \mathrm{~A}\) (rms) and \(5 \mathrm{~kW}\) at a power factor 0.8 (lagging) from a 60-Hz source. Select an appropriate capacitor to be placed in parallel with the load to raise the
A 60-Hz, 200-hp, 240-V (rms) motor draws 160 \(\mathrm{kW}\) of power with a 0.72 lagging power factor. Compute the complex power drawn by the motor. Then select an appropriate capacitor to improve
In a balanced three-phase circuit the line voltage magnitude is \(V_{\mathrm{L}}=9.8 \mathrm{kV}\) (rms). For a positive phase sequence:(a) Find all of the line and phase voltage phasors using
In a balanced three-phase circuit \(\mathbf{V}_{\text {an }}=500
A balanced Y-connected three-phase source has \(V_{\mathrm{AN}}=\) \(240
In a balanced three-phase circuit \(V_{\mathrm{CN}}=2400
A three-phase load is configured as shown in Figure P16\(3 \underline{0}\) with \(Z_{\mathrm{Y}}=10-j 5 \Omega\) and \(Z_{\Delta}=60-j 15 \Omega\).(a) Find the equivalent \(Z_{\mathrm{Y}}\) load.(b)
A balanced Y-connected load with \(Z_{Y}=100-j 20\) \(\Omega\) per phase is connected in parallel with a balanced \(\Delta\) connected load with \(Z_{\Delta}=120+j 500 \Omega\) per phase.(a) Find the
An old balanced \(\Delta\) - \(\Delta\) circuit needs to be upgraded to a \(\mathrm{Y}-\mathrm{Y}\) system. The current \(\Delta\)-connected source produces \(\mathbf{V}_{\mathrm{AB}}=\) \(2400
In a balanced \(Y-Y\) circuit, the line voltage and phase impedance are \(V_{\mathrm{L}}=480 \mathrm{~V}(\mathrm{rms})\) and \(Z_{\mathrm{Y}}=20+j 10 \Omega /\) phase. Using \(
In a balanced Y-Y circuit, the line voltage is \(V_{\mathrm{L}}=440 \mathrm{~V}\) (rms). The phase impedance is \(Z_{\mathrm{Y}}=30+j 40 \Omega /\) phase. Using \(
A physical plant is served by a balanced \(\mathrm{Y}-\Delta\) circuit. The line voltage and phase impedance are \(V_{\mathrm{L}}=440 \mathrm{~V}(\mathrm{rms})\) and \(Z_{\Delta}=16+j 12 \Omega /\)
In a balanced \(\Delta-Y\) circuit, the line voltage and phase impedance are \(V_{\mathrm{L}}=4.16 \mathrm{kV}(\mathrm{rms})\) and \(Z_{\mathrm{Y}}=250
In a balanced Y-connected load, the line current and phase impedance are \(I_{\mathrm{L}}=4.7 \mathrm{~A}(\mathrm{rms})\) and \(Z_{\mathrm{Y}}=20+j 16\) \(\Omega /\) phase. Using \(
An average power of \(5 \mathrm{~kW}\) is delivered to a balanced three-phase load with a phase impedance of \(Z_{\mathrm{Y}}=40+j 30\) \(\Omega /\) phase. Find \(V_{\mathrm{L}}\) and the complex
There is a need to design an appropriate load to connect a three-phase source. The source provides \(24 \mathrm{z} 33.7^{\circ}\) \(\mathrm{kVA}\) at \(60 \mathrm{~Hz}\) of complex power to a
A balanced three-phase load has a phase impedance of \(Z\) \(\mathrm{Y}=30+j 40 \Omega /\) phase. The line voltage at the load is \(V_{\mathrm{L}}=440 \mathrm{~V}\) (rms). Find \(I_{\mathrm{L}}\) and
A balanced three-phase load has a phase impedance of \(Z_{\Delta}=300-j 600 \Omega /\) phase. The line voltage at the load is \(V_{\mathrm{L}}=\) \(2.4 \mathrm{kV}\) (rms).(a) Convert the \(\Delta\)
In the balanced three-phase system in Figure P16-42 the line and load impedances are \(Z_{\mathrm{W}}=2+j 12 \Omega /\) phase and \(Z_{\mathrm{Y}}=\) \(16+j 10 \Omega /\) phase. The line current is
In the balanced three-phase circuit in Figure P16-42, the line impedance is \(Z_{\mathrm{W}}=5+j 30 \Omega /\) phase. The apparent power delivered to the load is \(25 \mathrm{kVA}\) at a lagging
As a young engineer working for a consulting company, your supervisor gives you the Multisim circuit shown in Figure P16-45. She asks you to improve the complex power being delivered to the
Two balanced three-phase loads are connected in parallel. The first load absorbs \(25 \mathrm{~kW}\) at a lagging power factor of 0.9. The second load absorbs an apparent power of \(30 \mathrm{kVA}\)
The average power delivered to a balanced Y-connected load is \(20 \mathrm{~kW}\) at \(60 \mathrm{~Hz}\) at a lagging power factor of 0.8 . The line voltage at the load is \(V_{\mathrm{L}}=480
The apparent power delivered to a balanced \(\Delta\)-connected load is \(25 \mathrm{kVA}\) at a lagging power factor of 0.72 . The line voltage at the load is \(V_{\mathrm{L}}=20 \mathrm{kV}\)
In Figure P16-4.9, the source and load buses are interconnected by a transmission line with \(Z_{\mathrm{W}}=40+j 280\) \(\Omega /\) phase. The load at bus 2 draws an apparent power of
In Figure P16-4.9, the source and load buses are interconnected by a transmission line with wire impedance \(Z_{\mathrm{W}}\). The load at bus 2 draws an average power of \(P_{2}=600 \mathrm{~kW}\)
In Figure P16-51, the three buses are interconnected by transmission lines with wire impedances of \(Z_{\mathrm{W}_{1}}=100+j\) \(600 \Omega /\) phase and \(Z_{\mathrm{W}_{2}}=120+j 800 \Omega /\)
In Figure P16-53, the source at bus 1 supplies two load buses through transmission lines with wire impedances of \(Z_{\mathrm{W}_{1}}=6+j 33 \Omega /\) phase and \(Z_{\mathrm{W}_{2}}=3+j 15 \Omega
In a balanced three-phase system \(\mathbf{V}_{\mathrm{AN}}=V_{\mathrm{P}}
The power factor of a \(50-\mathrm{hp}(1 \mathrm{hp}=746 \mathrm{~W})\) three-phase induction motor is 0.8 when it delivers its rated mechanical output. When delivering its rated output, the motor
A balanced three-phase source and a balanced three-phase load are interconnected by a three-phase transmission line. The load draws an average power of \(P_{\mathrm{L}}=45 \mathrm{~kW}\) at a lagging
Consider the Multisim representation of a balanced three-phase Y-Y power system shown in Figure P16-57. An owner of the plant who wants to install the system is contemplating whether to save money by
Find the \(z\)-parameters of the two-port network in Figure P17-1 . Validate your results using Multisim. 1 + 400 V, 400 16 400 400 V 19
Find the \(z\)-parameters of the two-port network in Figure P17-2 and provide the results in matrix form. Is the circuit reciprocal? Validate your results using Multisim. w + 1 2 ww 1 1 V2 +
Find the \(y\)-parameters of the two-port network in Figure P17=3 . Validate your results using Multisim. Use \(60 \mathrm{~Hz}\).
(a) Find the \(z\)-parameters of the two-port network in Figure P17-4.(b) If \(\beta=50\), select values of the resistors so that \(Z_{\mathrm{IN}}=52\) \(\mathrm{k} \Omega\). + V 16 R www R BI R3 ww
Figure P17-6 is a simplified model of a voltage amplifier. The \(z\)-parameter matrix of the model is \([\mathbf{z}]=\left[\begin{array}{cc}100 \mathrm{k} \Omega & 0 \\ 10 \mathrm{M} \Omega &
The \(y\)-parameters of a two-port circuit are \(y_{11}=6 \mathrm{mS}\), \(y_{12}=y_{21}=-2 \mathrm{mS}\), and \(y_{22}=2 \mathrm{mS}\). A 10-V voltage source is connected at the input port and a
The \(y\)-parameters of a two-port circuit are \(y_{11}=20+j 20\) \(\mathrm{mS}, y_{12}=y_{21}=100-j 20 \mathrm{mS}\), and \(y_{22}=40+j 20 \mathrm{mS}\). Find the short-circuit ( \(V_{2}=0\) )
Figure P17-9., a load impedance \(Z_{\mathrm{L}}\) is connected across the output port. Show that the voltage gain \(T_{\mathrm{V}}=V_{2} / V_{1}\) is TO + = 16 V -Y21 YL + y22 Tv=- Two Port + 10 V ZL
Find the A-parameters of the two-port networks in Figure \(\underline{\text { P17-10. }}\). 19+ ~ = 16+ Y 10+ 10 (a) 19 + 19 Z 10+ 10 (b)
Find the \(t\)-parameters of the two-port network in Figure P17-10. -TO+16 V TO+16 V Y (a) Z (b) 19+ V 19 V IQ
(a) Find the \(t\)-parameters of the two-port network in Figure P17-12.(b) Select values of \(R_{1} R_{2}, R_{3}\), and \(\beta\), so that the following are achieved: \(T_{\mathrm{I}}=75,
Find the \(t\)-parameters of the two-port network in Figure P17-12.
Find the \(h\)-parameters of the two-port network in Figure P17-14. it= V R 91 R + V 19
(a) The \(h\)-parameters of a two-port network are \(h_{11}=500\) \(\Omega, h_{12}=1, h_{21}=-1\), and \(h_{22}=2 \mathrm{mS}\). Find the Thévenin equivalent circuit at the output port when a
(a) A model of a BJT (bipolar junction transistor) in a common-emitter mode is shown in Figure P17-16. Find the \(h\)-parameters for this particular circuit.(b) Simplify your results if
The \(t\)-parameters of a two-port network are \(A=2, B\) \(=100 \Omega, C=3 \mathrm{mS}\), and \(D=1\).(a) Find the output resistance \(V_{2} / I_{2}\) when the input port is short-circuited.(b)
The t-parameters of a two-port network are \(A=0, B=-j\) \(25 \Omega, C=-j 20 \mathrm{mS}\), and \(D=0.5-j 0.5\). Find the voltage gain \(V_{2}\) \(/ V_{1}\) when a \(500-\Omega\) load resistor is
When a voltage \(V_{\mathrm{x}}\) is applied across the input port, the short-circuit current at the output port is \(I_{2 S C}\). When the same voltage is applied across the output port, the
Starting with the \(h\)-parameter \(i-v\) relationships in Eq. (17-9), show that\[A=-\Delta_{h} / h_{21}, B=-h_{11} / h_{21}, C=-h_{22} / h_{21}, \text { and } D=-1 / h_{21}\]where
Starting with the \(t\)-parameter \(i-v\) relationships in Eq. (17-13), show that\[y_{11}=D / B, \quad y_{12}=-\Delta_{t} / B, \quad y_{21}=-1 / B, \quad \text { and } y_{22}=A / B\]where
Starting with the \(h\)-parameter \(i-v\) relationships in \(\mathrm{Eq}\). (17-9), determine the voltage transfer function \(T_{\mathrm{V}}=V_{2} / V_{1}\) in terms of the \(h\)-parameters, when the
The \(t\)-parameters of the two-port networks \(N_{\mathrm{a}}\) and \(N_{\text {b }}\) in Figure P17-23 are\[\left[\boldsymbol{t}_{\mathrm{a}}ight]=\left[\begin{array}{rr}40 & 15 \\5 &
The cascade connection in Figure P17-23 is a twostage amplifier with identical two-port stages each having the hh parameters h11=1.5kΩ,h12=0,h21=−20h11=1.5kΩ,h12=0,h21=−20, and
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