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computer science
systems analysis design

Questions and Answers of Systems Analysis Design

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
Find the voltage gain of the two-stage amplifier defined in Problem 17-25.Data From Problem 17-25ans 17-25 The cascade connection in Figure P17-23 is a twostage amplifier with identical two-port
The two-port parameters of the series connection in Figure P17-27 areFind the \(z\)-parameters of the series connection. Is the network reciprocal? 40 10 15 10 60-40 -20 80 2 and [y] = []=[-20 mS
In Figure 17-27, the network \(N_{\mathrm{a}}\) is an active device with \(h\)-parameters \(h_{11}=10 \mathrm{k} \Omega, h_{12}=0, h_{21}=-5 \times 10^{3}\), and \(h\) \({ }_{22}=50 \mathrm{mS}\).
A two-port network is said to be unilateral if excitation applied at the input port produces a response at the output port, but the same excitation applied at the output port produces no response at
A load impedance \(Z_{\mathrm{L}}\) is connected at the output of a two-port network. Show that the input impedance \(Z_{\mathrm{IN}}=V_{1} / I_{1}=Z_{\mathrm{L}}\) when \(A=D\) and \(C=B
The \(y\)-parameters of a two-port network operating in the sinusoidal steady state are \(y_{11}=20-j 15 \mathrm{mS}, y_{12}=y_{21}=-j 12\) \(\mathrm{mS}\), and \(y_{22}=10-j 20 \mathrm{mS}\). The
Some two-port networks do not have either \(z\) or \(y\) parameters. A good example is the ideal transformer shown in Figure P17-32. The equations defining this two-port network were found in Chapter
Design an active high-pass filter to meet the specification in Problem 14-39. Use Multisim to verify that your design meets the specifications.Data From Problem 14-39Construct the lowest order,
Design an active high-pass filter to meet the specification in Problem 14-40. Use Multisim to verify that your design meets the specifications.Data From Problem 14-40Construct the lowest order,
Consider the specifications given in Problem 14-42.(a) Design an active Butterworth filter to meet the specification.(b) Design an active Chebyshev filter to meet the specification.(c) Use Multisim
A certain instrumentation system for a new hybrid car needs a bandpass filter to limit its output bandwidth prior to digitization. The filter must meet the following
You are working at an aircraft manufacturing plant on an altitude sensor that eventually will be used to retrofit dozens of similar sensors on an upgrade to a current airframe. You are required to
An amplified portion of the radio spectrum is shown in Figure P14-4 8 . You need to hear all of the signals from 1.0 to 2.0 MHz, but there is an interfering signal at 1.8 MHz. Design a notch filter
The portion of the radio spectrum known as the AM broadcast band ranges from \(540 \mathrm{kHz}\) to \(1700 \mathrm{kHz}\). You want to design a suitable filter and amplifier. The passband gain
Bessel filters are in the category of maximally flat filters similar to Butterworth but have a critically damped time-domain response similar to a First-Order Cascade filter. Bessel filters have a
You are the head engineer for a small start-up and a client asked for a filter with the following specifications: a third-order Butterworth low-pass filter with a cutoff frequency of \(2
One of your company's products includes the passive \(R L C\) filter and OP AMP buffer circuit in Figure P14=52. The supplier of the inductor is no longer in business and a suitable replacement is
Ten years after earning a BSEE, you return for a master's degree and sign on as the laboratory instructor for the basic circuit analysis course. One experiment asks the students to build the active
The three-terminal circuit in Figure P14=54. (a) has a bandpass transfer function of the formShow that the circuit in Figure P14=54 (b) has a bandstop transfer function of the
Show that the circuit in Figure P14=55 produces a third-order Butterworth low-pass filter with a cutoff frequency of \(\omega_{\mathrm{C}}=1\) / \(R C\) and a passband gain of \(K=4\). Then, design a
A biquad filter has the unique properties of having the ability to alter the filter's parameters, namely, gain \(K\), quality factor \(Q\), and resonant frequency \(\omega_{0}\). This is done in each
Although not an active filter, crystal (Quartz) filters are very high \(-Q\) filters. Some can have \(Q\) 's approaching 100,000. High \(Q\) means high selectivity; hence, crystal filters are used
A scientist has a need for a bandpass filter for an Amateur Satellite band in the HF frequency band. It must have a center frequency of \(89.4 \mathrm{Mrad} / \mathrm{s}\) and a \(32 \mathrm{Mrad} /
In Figure P15-1, \(L_{1}=10 \mathrm{mH}, L_{2}=50 \mathrm{mH}, k=0.4\) and \(v_{\mathrm{S}}(t)=200 \sin 100 t \mathrm{~V}\).(a) Write the \(i-v\) relationships for the coupled inductors using the
In Figure P15-1, \(L_{1}=10 \mathrm{mH}, L_{2}=5 \mathrm{mH}, M=7 \mathrm{mH}\), and \(v\) \(\mathrm{S}(t)=100 \sin 1000 t \mathrm{~V}\).(a) Write the \(i-v\) relationships for the coupled inductors
In Figure P1 5-1 \(, L_{1}=10 \mathrm{mH}, L_{2}=5 \mathrm{mH}, M=7 \mathrm{mH}\), and the outputs are \(v_{2}(t)=0\) and \(i_{2}(t)=35 \sin 1000 t \mathrm{~A}\).(a) Write the \(i-v\) relationships
In Figure P15-4, \(L_{1}=L_{2}=5 \mathrm{mH}, M=2 \mathrm{mH}, k=0.4\), and \(i_{\mathrm{S}}(t)=120 \sin 377 t \mathrm{~A}\).(a) Solve for \(v_{1}(t)\) and \(v_{2}(t)\) when the output terminals are
In Figure P15-4, \(L_{1}=L_{2}=4 \mathrm{mH}, M=3 \mathrm{mH}\), and \(i_{2}(\) \(t)=10 \sin 1000 t \mathrm{~mA}\) when the output terminals are short circuited. Solve for \(v_{1}(t)\) and
In Figure P15-6, \(L_{1}=2 \mathrm{H}, L_{2}=6 \mathrm{H}, M=3 \mathrm{H}\), and \(v_{\mathrm{X}}(\) \(t)=70 \cos (1000 t) \mathrm{V}\). Find the input current \(i_{1}(t)\) and the voltages
ans 15-7 In Figure P15-7 show that \(L_{\mathrm{EQ}}=L_{1}\left(1-k^{2}ight)\), where \(k\) is the coupling coefficient. LEQ M 100 L2
In Figure P15-8 show that the indicated open-circuit voltage is\[v_{\mathrm{OC}}=\left(k \sqrt{L_{2} / L_{1}}ight) v_{1}\]where \(k\) is the coupling coefficient. i(1) Mi(1) vs(t) + v(1) la L 42 +
Because of the numerous windings, transformers are likely to have a parasitic resistance associated with each coil.Figure P15-9. shows a pair of coupled coils with a series resistance associated with
A perfectly coupled (ideal) transformer is used to provide electricity to a \(1-\mathrm{k} \Omega, 12-\mathrm{V}\) doorbell from house voltage 169.7 sin \(377 t \mathrm{~V}\). Design the
In Figure \(\mathrm{P} 15-11 R_{\mathrm{S}}=50 \Omega, R_{\mathrm{L}}=1250 \Omega\), the turns ratio is \(n=5\), and the source voltage is \(v_{\mathrm{S}}(t)=240 \cos\) \(377 t \mathrm{~V}\). Find
The turns ratio of the ideal transformer in Figure P \(15-12\) is \(n=10\). The source and load impedances are \(Z_{\mathrm{S}}=50 \Omega\) and \(Z_{\mathrm{L}}=\) \(500-j 500 \Omega\). Find
Design the turns ratio of the ideal transformer in Figure P15-12 so that \(\mathbf{V}_{\mathrm{O}}=708
In Figure P15-14, the turns ratio is \(n=5, L=120 \mathrm{mH}\), and \(R_{\mathrm{L}}=1.5 \mathrm{k} \Omega\). Find \(i_{\mathrm{IN}}(t)\) and \(v_{2}(t)\) when \(v_{1}(t)=100\)\(\sin 377 t
(a) Design the turns ratio in Figure P15-14 if \(\mathbf{V}_{1}=100
The primary voltage of an ideal transformer used in a home furnace to connect to a thermostat is a \(120-\mathrm{V}, 60-\mathrm{Hz}\) sinusoid. The secondary voltage is a \(24-\mathrm{V},
In Figure P15-17 the impedances are \(Z_{1}=20-j 45\) \(\Omega, Z_{2}=45+j 30 \Omega\), and \(Z_{3}=300+j 250 \Omega\). Find \(\mathbf{I}_{1}, \mathbf{I}_{2}\), and \(\mathbf{I}\) 3. + Z 20020 V 1:2
The solenoid in Figure P15-18 needs \(24 \mathrm{~V}\) to operate properly. The source \(\mathbf{V}_{\mathrm{S}}=170 S +1 Zs ww 1:n 3118 Ideal Isol Rsol jXsol Solenoid Vo
The primary winding of an ideal transformer with \(N_{1}\) \(=100\) and \(N_{2}=250\) is connected to a \(480-\mathrm{V}\) source. A \(1-\mathrm{k} \Omega\) load is connected across the secondary
The input voltage to the transformer in Figure \(\mathrm{P} 15-20\) is a \(\operatorname{sinusoid} v_{\mathrm{S}}(t)=339 \sin (314 t) \mathrm{V}\). With the circuit operating in the sinusoidal steady
Repeat Problem 15-20 with \(v_{\mathrm{S}}(t)=10 \cos 2000 t \mathrm{~V}\).Data From Problem 15-2015-20 The input voltage to the transformer in Figure \(\mathrm{P} 15-20\) is a
A transformer has self-inductances \(L_{1}=200 \mathrm{mH}, L_{2}=\) \(200 \mathrm{mH}\), and a coupling coefficient of \(k=0.5\). The transformer is operating in the sinusoidal steady state with
Repeat Problem 15-22 when a 20-mH inductive load is connected across the secondary winding.Data From Problem 15-22A transformer has self-inductances \(L_{1}=200 \mathrm{mH}, L_{2}=\) \(200
The linear transformer in Figure P15-24 is operating in the sinusoidal steady state with \(\mathbf{V}_{\mathrm{S}}=500 \mathrm{~V}\) and \(Z_{\mathrm{L}}=10+j 10\) \(\Omega\). Use mesh-current
(a) Repeat Problem 15-24 with \(Z_{\mathrm{L}}=10-j 10 \Omega\).(b) What is the largest value of mutual inductance reactance \(X_{\mathrm{M}}\) possible for the transformer shown in Figure
Find the phasor current \(I\) and the input impedance seen by the source in Figure P15-26. 200
Find \(\mathbf{I}_{A}\) and \(\mathbf{I}_{\mathrm{B}}\) in Figure P15-27 and the input impedance seen by the voltage source. 24020 ZIN IA | el n=5 + ill
If \(f=50 \mathrm{~Hz}\), find \(\mathbf{V}_{1}\) and \(\mathbf{V}_{2}\) in Figure P15-27 using Multisim.
A transformer operating in the sinusoidal steady state has inductances \(L_{1}=800 \mathrm{mH}, L_{2}=320 \mathrm{mH}\), and \(M=500\) \(\mathrm{mH}\). A load \(Z_{\mathrm{L}}=6+j\) o \(\Omega\) is
A transformer operating in the sinusoidal steady state has inductances \(L_{1}=510 \mathrm{mH}, L_{2}=2 \mathrm{H}\), and \(M=1 \mathrm{H}\). The load connected across the secondary is
The linear transformer in Figure \(\mathrm{P} 15=31\) is in the sinusoidal steady state with reactances of \(X_{1}=32 \Omega, X_{2}=50 \Omega\), \(X_{\mathrm{M}}=40 \Omega\), and a load impedance of
An inductor \(L\) is connected across the secondary of an ideal transformer whose turns ratio is \(1: n\).(a) Derive an expression for the equivalent inductance \(L_{\mathrm{EQ}}\) seen looking into
A Transformer Thévenin Equivalent In the time domain, the \(i-v\) equations for a linear transformer are\[\begin{aligned}& v_{1}(t)=L_{1} \frac{d i_{1}(t)}{d t}+M \frac{d i_{2}(t)}{d t} \\&
Figure P15:34 is an equivalent circuit of a perfectly coupled transformer. This model is the basis for the transformer equivalent circuits used in the analysis of power systems. The inductance
A Equivalent T-Circuit Transformer Model The transformer model shown in Figure 15-17 can also be modeled using an Equivalent T-Circuit as shown in Figure P15= 35 . The three inductors are related to
Consider the circuit shown in Figure P15-3 2 . The \(5-\mathrm{V}\) dc source switches from \(5 \mathrm{~V}\) to \(\mathrm{O}\) at \(t=0\). Find the output \(v_{\mathrm{C}}(t)\) for six different
(a) Figure P15:37 shows a three-winding transformer that can be treated as ideal.Perfect coupling between all windings implies that \(v_{2}(t)=\frac{N_{2}}{N_{1}} v_{1}(t)\) and
The following sets of \(v(t)\) and \(i(t)\) apply to the load circuit in Figure P16-1. Find the average power, reactive power, and instantaneous power delivered to the load.(a) \(v(t)=220 \cos
The following sets of \(v(t)\) and \(i(t)\) apply to the load circuit in Figure P16-1. Calculate the average power, the reactive power, and instantaneous power delivered to the load.(a) \(v(t)=100

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