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systems analysis design

Questions and Answers of Systems Analysis Design

Use Multisim to show the power balance in the circuit of P2–51, that is, that the sum of the power in the circuit equals zero. DVI IA 10 22 + 15 92 301 ww
Consider the circuit of Figure P2-63 .(a) Use MATLAB to find all of the voltages and currents in the circuit and find the power provided by the source.(b) Use MATLAB to find the input resistance that
You are a head intern overseeing three junior interns. A sensor that is modeled by a \(100-\Omega\) resistor requires five volts to operate correctly. You ask the three interns to design a power
The circuit in Figure P2-65 is a parallel combination of a \(75-\Omega\) linear resistor and a varistor whose \(i-v\) characteristic is \(i_{\mathrm{V}}=\) \(38 \times 10^{-3} v^{3}\). For a small
Figure P2-66 shows a voltage divider with the center tap connected to ground. Derive equations relating \(v_{\mathrm{A}}\) and \(v_{\mathrm{B}}\) to \(v_{\mathrm{S}}\) , \(R_{1}\), and \(R_{2}\). VS
A type- \(\mathrm{K}\) thermocouple produces a voltage that is proportional to temperature. The characteristic of a type-K thermocouple is shown in Figure P2-67. (a). In an application, this
Figure P2-68 shows an active transducer whose resistance \(R\) ( \(V\) \(\left.{ }_{\mathrm{T}}ight)\) varies with the transducer voltage \(V_{\mathrm{T}}\) as \(R\left(V_{\mathrm{T}}ight)=0.5
You have a practical current source that can be modeled as a 15-V ideal source in series with a 1-kΩ source resistor. You need to use your source to drive a 1-kΩ load that requires exactly 3 V
Figure P2-70 shows a programmable voltage divider in which digital inputs \(b_{0}\) and \(b_{1}\) control complementary analog switches connecting a multitap voltage divider to the analog output
Figure P2-71 (a) shows a voltmeter circuit consisting of a D'Arsonval meter, two series resistors, and a two-position selector switch. A current of \(I_{\mathrm{FS}}=400 \mu \mathrm{A}\) produces
MATLAB Function for Parallel Equivalent ResistorsCreate a MATLAB function to compute the equivalent resistance of a set of resistors connected in parallel. The function has a single input, which is a
Finding an Equivalent Resistance Using MultisimUse Multisim to find the equivalent resistance at terminals A and B of the resistor mesh shown in Figure P2-7.3 . Schematic illustration of create a
An all-electric roadster requires a battery module that can deliver \(375 \mathrm{~V}\) and \(90 \mathrm{kWh}\). A battery manufacturer can deliver a single Li-ion cell that produces 3.7 V at \(3400
Formulate node-voltage equations for the circuit in Figure P3-1 . Arrange the results in matrix form \(\mathbf{A x}=\mathbf{b}\). R VB R www R VC R www
(a) Formulate node-voltage equations for the circuit in Figure \(\mathrm{P}_{3} \mathbf{- 2}\). Arrange the results in matrix form \(\mathbf{A x}=\mathbf{b}\).(b) Solve these equations for
(a) Formulate node-voltage equations for the circuit in Figure \(\mathrm{P}_{3}=3\).(b) Solve these equations for \(v_{\mathrm{A}}\) and \(v_{\mathrm{B}}\).(c) Use these results to find
(a) Formulate node-voltage equations for the circuit in Figure P3-4. Arrange the results in matrix form \(\mathbf{A x}=\mathbf{b}\).(b) Solve these equations for \(v_{\mathrm{A}}\) and
The following are a set of node-voltage equations; draw the circuit they represent.\[\begin{aligned}v_{\mathrm{A}} & =v_{\mathrm{S}}
(a) Choose a ground wisely and formulate node-voltage equations for the circuit in Figure P \(3=6\).(b) Solve for \(v_{\mathrm{x}}\) and \(i_{\mathrm{x}}\).(c) Validate your answers using Multisim.
(a) Formulate node-voltage equations for the circuit in Figure P3=7.(b) Use MATLAB to find symbolic expressions for the node voltages in terms of the parameters in the circuit.(c) Find numeric values
(a) Formulate node-voltage equations for the bridge circuit in Figure \(\mathrm{P}_{3}-8\).(b) Solve for \(v_{\mathrm{x}}\) and \(i_{\mathrm{x}}\) when \(R_{1}=R_{4}=1 \mathrm{k} \Omega,
(a) Formulate node-voltage equations for the circuit in Figure P3=9.(b) Solve for \(v_{\mathrm{X}}\) and \(i_{\mathrm{x}}\).(c) Verify your results using Multisim. 30 V 1 + 1x 10 10 15 10 V +1
(a) Formulate mesh-current equations for the circuit in Figure \(\mathrm{P}_{3}-10\). Arrange the results in matrix form \(\mathbf{A x}=\mathbf{b}\).(b) Solve for \(i_{\mathrm{A}}\) and
(a) Formulate mesh-current equations for the circuit in Figure P3-11. Arrange the results in matrix form \(\mathbf{A x}=\mathbf{b}\).(b) Solve for \(i_{\mathrm{A}}\), and \(i_{\mathrm{B}}\).(c) Use
Sometimes intuition is simpler than using either meshcurrent or node-voltage analysis. Reduce the circuit in Figure \(\underline{P}_{3}-11\) into a single loop and find the voltage between
(a) Formulate mesh-current equations for the circuit in Figure P3-13 .(b) Formulate node-voltage equations for the circuit in Figure P3-13.(c) Which set of equations would be easier to solve? Why?(d)
(a) Formulate mesh-current equations for the circuit in Figure P3-14 . ( Hint: Use a supermesh.)(b) Reduce the circuit to one node using source transformations and solve for the node voltage
(a) Formulate mesh-current equations for the circuit in Figure \(\mathrm{P}_{3}-15\).(b) Use MATLAB to find symbolic expressions for \(v_{\mathrm{x}}\) and \(i\) \(x\) in terms of the parameters in
The circuit in Figure P3-16 seems to require two supermeshes since both current sources appear in two meshes. However, sometimes rearranging the circuit diagram will eliminate the need for a
(a) Formulate mesh-current equations for the circuit in Figure \(\mathrm{P}_{3}=17\).(b) Formulate node-voltage equations for the circuit in Figure P3-17.(c) Which set of equations would be easier to
Use simple engineering intuition to find the input resistance of the circuit in Figure P \(3-18\). Use either nodevoltage or mesh-current analysis to prove your intuition. vs R ww RIN R R ww R www R
Use Figure P3-19 and MATLAB to solve the following problems:(a) Using mesh-current analysis, find a symbolic expression for \(i_{\mathrm{A}}\) in terms of the circuit parameters.(b) Compute the ratio
(a) Formulate mesh-current equations for the circuit in Figure P \(3=20\).(b) Formulate node-voltage equations for the circuit in Figure \(\mathrm{P}_{3}=\mathbf{2 0}\).(c) Which set of equations
(a) Formulate mesh-current equations for the circuit in Figure P 3 -21 . Arrange the results in matrix form \(\mathbf{A x}=\mathbf{b}\).(b) Use MATLAB and mesh-current analysis to solve for the mesh
(a) Find \(v_{\mathrm{O}}\) for the block diagram shown in Figure \(\mathrm{P}_{3} \mathbf{- 2 2}\) (a).(b) Find the proportionality constant \(K\) for the circuit in Figure P3-22 (b).(c) Find the
Design a voltage-divider circuit that will realize the block diagram in Figure \(\mathrm{P}_{3} \mathbf{- 2 2}\) (a). 24 V 0.75 (a) Vo
Design a current-divider circuit that will realize the block diagram in Figure P3-22 (b). 6.0 mA K (b) 25 mA
Using a single resistor, design a circuit that will realize the block diagram in Figure P3-22 (c). 1.5 V K (c) 150
(a) Find the proportionality constant \(K=i_{\mathrm{O}} / v_{\mathrm{S}}\) for the circuit in Figure P3-26 .(b) What are the units associated with the \(K\) you found?.(c) If \(v_{\mathrm{S}}=10
(a) Find the proportionality constant \(K=i_{\mathrm{O}} / i_{\mathrm{S}}\) for the circuit in Figure P 3 -27.(b) Replace the current source with a voltage source plus side up, and find
Find the proportionality constant \(K=v_{\mathrm{O}} / v_{\mathrm{S}}\) for the circuit in Figure \(\mathrm{P} 3-28\). Then select values for the resistors so that \(v_{\mathrm{O}}\) is \(-01
Use the unit output method to find \(K\) and \(v_{\mathrm{O}}\) in Figure P3-29. 50 mA 33 k 63 33 VO
Use the unit output method to find \(K\) in Figure P \(_{3}=3\) O . Then select a value for \(v_{\mathrm{S}}\) that will produce an output current of \(i_{\mathrm{O}}=250 \mathrm{~mA}\). Vs +1 133
Use the unit output method to find \(K\) in Figure \(\underline{P}_{3}=3 \underline{1}\) . Then find \(v_{\mathrm{O}}\) for the input provided. 2 mA 2.5 5 2.5 5 2.5 K VO
Use the superposition principle to find \(v_{\mathrm{O}}\) in Figure P \(_{3}=\) 32 . 15 V | 200 VO | 200 200 +1) 5V
Use the superposition principle to find \(v_{\mathrm{X}}\) and \(i_{\mathrm{X}}\) in Figure P \(_{3}=33\). 12V 12 2 VX 2 24 10
Use the superposition principle to find \(v_{\mathrm{O}}\) in Figure \(\mathrm{P}_{3}=\) 34 . 10 mA 3 2 M 5 2.5 20 mA + VO
Use the superposition principle to find \(i_{\mathrm{O}}\) in Figure P \(_{3}=35\). Verify your answer using Multisim. 1 mA (+1) 10 : 5 15 V 5 5 +1 | 12 V io 22 15
A linear circuit containing two sources drives a 100- \(\Omega\) load resistor. Source number 1 delivers \(1 \mathrm{~W}\) to the load when source number 2 is off. Source number 2 delivers \(9
A block diagram of a linear circuit is shown in Figure P \(3=37\). When \(v_{\mathrm{S}}=20 \mathrm{~V}\) and \(i_{\mathrm{S}}=40 \mathrm{~mA}\), the output voltage \(v_{\mathrm{O}}\) \(=20
A certain linear circuit has four input voltages and one output voltage \(v_{\mathrm{O}}\). The following table lists the output for different values of the four inputs. Find the input-output
For the circuit in Figure P \(3=39\), find the Thévenin and Norton equivalent circuits. 100 | 50 V 150 www 150 Wy, RT. IN
For the circuit in Figure P3-4응 find the Thévenin and Norton equivalent circuits. 11 MA 0 VT. Ry. N
(a) Find the Thévenin or Norton equivalent circuit seen by \(R_{\mathrm{L}}\) in Figure \(\mathrm{P}_{3}=4 \underline{1}\).(b) Select a \(5 \%\) value of \(R_{\mathrm{L}}\) from Appendix
(a) Find the Thévenin equivalent circuit seen by \(R_{\mathrm{L}}\) in Figure \(\mathrm{P}_{3}=4 \underline{2}\).(b) Repeat (a) using Multisim.(c) Find the voltage across the load and the power
Find the Norton equivalent seen by \(R_{\mathrm{L}}\) in Figure \(\mathrm{P}_{3}=\) 43 . Find the current through the load when \(R_{\mathrm{L}}=5 \mathrm{k} \Omega, 10 \mathrm{k} \Omega\), and \(47
The Thévenin equivalent parameters of a two-terminal source are \(v_{\mathrm{T}}=5 \mathrm{~V}\) and \(R_{\mathrm{T}}=150 \Omega\). Find the minimum allowable load resistance if the delivered load
(a) Create the circuit shown in Figure P3-45 in Multisim. Do a parameter sweep of the load resistor \(R_{\mathrm{L}}\) (arbitrarily set to \(1 \mathrm{k} \Omega\) ) from \(1 \mathrm{k} \Omega\) to
(a) Use Multisim to find the Norton equivalent at terminals \(A\) and B in Figure P \(3=4 \underline{6}\).(b) Use the Norton equivalent circuit found in part (a) to determine the power dissipated in
The circuit in Figure P \(3=4\).7. was solved earlier using superposition (Problem 3-34). In this problem solve for the voltage across the load resistor \(v_{\mathrm{L}}\) by first finding the
Assume that Figure P3-4 4 represents a model of the auxiliary output port of a car. The output current is \(i=2 \mathrm{~A}\) when measured by a very low-resistance ammeter. The voltage is \(V=\)
The \(i-v\) characteristic of the active circuit represented by Figure P \(3=4 \underline{8}\) is \(5 v+500 i=100\). Find the output voltage when a 100- \(\Omega\) resistive load is connected. 10 mA
You have successfully completed the first course in Circuits I, and as part of an undergraduate work-study program your former professor has asked you to help her grade a Circuits I quiz. On the
(a) Use a sequence of source transformations and the lookback method to find the Thévenin equivalent at terminals A and B in Figure P \(3=51\).(b) Then select a resistor to connect across A and B so
The circuit in Figure P3=52 provides power to a number of loads connected in parallel. The circuit is protected by a 1-mA fuse with a nominal \(100-\Omega\) resistance. Each load is \(10 \mathrm{k}
You need to determine the Thévenin equivalent circuit of a more complex linear circuit. A technician tells you she made two measurements using her DMM on the circuit. The first was with a
A blue LED is connected across a two-terminal source whose Thévenin equivalent is \(v_{\mathrm{T}}=3 \mathrm{~V}\) and \(R_{\mathrm{T}}=10 \Omega\). The \(i-v\) characteristic of the LED is
A non-linear device has the following \(i-v\) characteristics \(i=2.6 \times 10^{-5} v^{3}\). It is connected to a Thévenin circuit with a \(v_{\mathrm{T}}=150 \mathrm{~V}\) and an
Find the Norton equivalent seen by \(R_{\mathrm{L}}\) in Figure \(\mathrm{P}_{3}=5 \underline{6}\).Select the value of \(R_{\mathrm{L}}\) so that(a) \(3 \mathrm{~V}\) is delivered to the load.(b)
For the circuit of Figure \(\mathrm{P}_{3}=57\), find the value of \(R_{\mathrm{L}}\) that will result in(a) Maximum voltage. What is that voltage?(b) Maximum current. What is that current?(c)
For the circuit of Figure \(\mathrm{P}_{3}=5 \underline{8}\), find the value of \(R_{\mathrm{L}}\) that will result in:(a) Maximum voltage. What is that voltage?(b) Maximum current. What is that
The resistance \(R\) in Figure P3=59. is adjusted until maximum power is delivered to the load consisting of \(R\) and the \(12-\mathrm{k} \Omega\) resistor in parallel.(a) Find the required value of
Find the value of \(R\) in the circuit of Figure \(\mathrm{P}_{3}-60\) so that maximum power is delivered to the load. What is the value of the maximum power? 10 V + 50 R 5 2 Load
Express the following quantities to the nearest standard prefix using no more than three digits.(a) \(3600 \mathrm{~s}\)(b) \(5 \times 10^{13} \mathrm{~W}\)(c) \(850,000 \mathrm{~Hz}\)(d) \(68 \times
Express the following quantities to the nearest standard prefix using no more than three digits.(a) \(0.00067 \mathrm{~A}\)(b) \(5.67 \times 10^{-3} \mathrm{H}\)(c) \(1,850,000 \mathrm{C}\)(d)
An ampere-hour (Ah) meter measures the time integral of the current in a conductor. During an 8-hour period, a certain meter records \(5400 \mathrm{Ah}\). Find the number of coulombs that flowed
Fill in the blanks in the following statements.(a) To convert capacitance from femtofarads to microfarads, multiply by(b) To convert resistance from megohms to kilohms, multiply by_____________.(c)
Place in increasing value the following:(a) \(1500 \mathrm{~m} \Omega\)(b) \(0.1632 \Omega\)(c) \(0.00112 \mathrm{k} \Omega\)(d) \(0.0000016 \mathrm{M} \Omega\)
The net positive charge flowing through a device is \(q(t)=\) \(20+4 t \mathrm{mC}\). Find the current through the device.
Figure P1-7. shows a plot of the net positive charge flowing in a wire versus time. Sketch the corresponding current during the same period of time. Charge (C) 30 20 10- 0 -10 -20 L 2 3 4 6 -Time (s)
The net negative charge flowing through a device varies as \(q\) \((t)=5.0 t^{2} \mathrm{C}\). Find the current through the device at \(t=0,1.0\), and \(2.0 \mathrm{~s}\).
The charge flowing through a device is \(q(t)=1-e^{-}\) \(1000{ }^{t} \mu \mathrm{C}\). What will the current be after \(1.6094 \mathrm{~ms}\) ?
The \(12-V\) automobile battery in Figure \(\mathrm{P}_{1-10}\) has an output capacity of 100 Ah when connected to a head lamp that absorbs \(200 \mathrm{~W}\) of power. The car engine is not running
The current through a device is zero for \(t
When illuminated the \(i-v\) relationship for a photocell is \(i=\) \(e^{v}-10 \mathrm{~A}\). For \(v=-2,1\), and \(2.5 \mathrm{~V}\), find the device power and state whether it is absorbing or
The maximum current allowed by a device's power rating is limited by a \(10-\mathrm{mA}\) fuse. When the device is connected to a \(5-\mathrm{V}\) source, what is the maximum power the device can
Traffic lights are being converted from incandescent bulbs to LED arrays to save operating and maintenance costs. Typically, each incandescent light uses three \(116-\mathrm{W}\) bulbs, one for each
Two electrical devices are connected as shown in Figure \(\mathrm{P} 1-15\). Using the reference marks shown in the figure, find the power transferred and state whether the power is transferred from
Figure P1-16 shows an electric circuit with a voltage and a current variable assigned to each of the six devices. The device voltages and currents are observed to be as follows:Find the power
Figure P1-16 shows an electric circuit with a voltage and a current variable assigned to each of the six devices. Use power balance to find \(v_{4}\) when \(v_{1}=24 \mathrm{~V}, i_{1}=-2.1
An ion implanter is used to accelerate electrons to crash into a silicon wafer to study the effects of electron radiation damage on the devices on the wafer. If the beam carries \(10^{16}\) electrons
Repeat Problem 1-16 using MATLAB to perform the calculations. Create a vector for the voltage values, \(v=\left[\begin{array}{ll}15 & 5\end{array}ight.\) 10-10 20 20 \(]\), and a vector for the
A stereo amplifier takes the output of a CD player, for example, and increases the power to an audible level. Suppose the output of the CD player is \(25 \mathrm{~mW}\) and the desired audible output
A manufacturer's data sheet for the converter in Figure P1-21 states that the output voltage is \(v_{\mathrm{dc}}=12 \mathrm{~V}\) when the input voltage \(v_{\mathrm{ac}}=120 \mathrm{~V}\). When the
A capacitor is a two-terminal device that can store electric charge. In a linear capacitor, the amount of charge stored is proportional to the voltage across the device. For a particular device the
You need to provide sufficient light for a work area, and you determine that 1600 lumens would be adequate. You discover that there are four competing light sources that can deliver that amount of
A circuit consists of five voltages, namely, \(v_{\mathrm{a}}, v_{\mathrm{b}}, v_{\mathrm{c}}, v_{\mathrm{d}}\), and \(v_{\mathrm{e}}\). The voltage from \(v_{\mathrm{a}}\) to \(v_{\mathrm{b}}\) is
The current through a \(47-\mathrm{k} \Omega\) resistor is \(2.2 \mathrm{~mA}\). Find the voltage across the resistor.
The voltage across a particular resistor is \(8.85 \mathrm{~V}\) and the current is \(305 \mu \mathrm{A}\). What is the actual resistance of the resistor? Using Appendix G, what is the likely
You can choose to connect either a \(3.3-\mathrm{k} \Omega\) resistor or a \(33-\mathrm{k} \Omega\) resistor across a \(5-\mathrm{V}\) source. Which will draw the least current from the source? What

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