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computer science
systems analysis design

Questions and Answers of Systems Analysis Design

The circuit in Figure \(\mathrm{P} 7-12\) is in the zero state when the input \(v_{\mathrm{S}}(t)=20 u(t) \mathrm{V}\) is applied. If \(L=150 \mathrm{mH}\) and \(R=\) \(1.0 \mathrm{k} \Omega\), find
The circuit in Figure P7-13 contains two energy storage devices connected to a battery via a single-pole, doublethrow switch (SPDT). The switch has been in position A for a long time. At \(t=0\), the
For the circuit in Figure P7-13, the switch has been in position \(\mathrm{B}\) a long time. At \(t=0\), the switch moves to position \(\mathrm{A}\). After \(5 \mathrm{~ms}\), it moves back to
Find the function that satisfies the following differential equation and the initial condition for an input \(v_{\mathrm{S}}(t\) ) \(=2 \cos 50 t \mathrm{~V}\) and plot the solution using
The switch in Figure P7-16 has been open long enough for \(i_{\mathrm{L}}(\mathrm{O})\) to reach \(\mathrm{O} \mathrm{A}\) and is closed at \(t=0\).(a) If \(v_{\mathrm{S}}(t)=50 u(t) \mathrm{V}\),
Repeat Problem 7-16 using Multisim.Data From Problem 7-16The switch in Figure P7-16 has been open long enough for \(i_{\mathrm{L}}(\mathrm{O})\) to reach \(\mathrm{O} \mathrm{A}\) and is closed at
Repeat Problem 7-16 using MATLAB to plot the waveforms.Data From Problem 7-16The switch in Figure P7-16 has been open long enough for \(i_{\mathrm{L}}(\mathrm{O})\) to reach \(\mathrm{O} \mathrm{A}\)
The capacitor in Figure P7-19 has zero volts across it at \(t=0\). Suddenly the circuit is excited by a \(10-\mathrm{V}\) step. At what time will the single-sided comparator trip? 10 u(t)( + 200 km2
The follower circuit in Figure P7-20 is in the zero state and \(R_{1}=50 \mathrm{k} \Omega, R_{2}=2 \mathrm{k} \Omega\), and \(C=0.1 \mu \mathrm{F}\).(a) Suppose \(v_{\mathrm{S}}(t)=2 u(t)\), find
The inverting OP AMP in Figure P7-21 is driven by a step input \(v_{\mathrm{S}}(t)=2 u(t)\). Let \(R_{1}=2 \mathrm{k} \Omega, R_{2}=20 \mathrm{k} \Omega\), and \(C=0.1 \mu \mathrm{F}\).(a) If
The switch in Figure P7-22 has been in position A for a long time and is moved to position \(\mathrm{B}\) at \(t=0\). The switch suddenly returns to position A after \(10 \mathrm{~ms}\). Find
Switches 1 and 2 in Figure P7-23 have both been in position A for a long time. Switch 1 is moved to position B at \(t=\) \(\mathrm{O}\) and Switch 2 is moved to position B at \(t=20 \mathrm{~ms}\).
Find the sinusoidal steady-state response of \(v_{\mathrm{C}}(t)\) in Figure P7-24 when \(R=100 \mathrm{k} \Omega, C=0.02 \mu \mathrm{F}\), and the input voltage is \(v_{\mathrm{S}}(t)=15 \cos (50 t)
The dependent-source circuit in Figure P7-25} separates two \(R C\) circuits. Build the circuit in Multisim and run a transient analysis of both \(v_{\text {IN }}\) and \(v_{\text {OUT }}\) and plot
For \(t \geq 0\), the zero-input response of the circuit in Figure \(\underline{\mathrm{P}} 7-26\) is \(v_{\mathrm{C}}(t)=20 e^{-10 \mathrm{k} t} \mathrm{~V}\).(a) Find \(C\) and
Design a series \(R C\) circuit using a de voltage source that delivers the following voltage across the capacitor for \(t>0\).\[v_{\mathrm{C}}(t)=10 e^{-10000 t} \mathrm{~V} \quad t \geq 0\]
(a) Design a parallel \(R L\) circuit using a dc current source that delivers the following voltage across the resistor for \(t>\) O.\[v_{\mathrm{R}}(t)=5 e^{-1000 t} \mathrm{~V} \quad t \geq 0\](b)
Design a series \(R C\) circuit using a dc voltage source that delivers a voltage across the capacitor for \(t>0\) that fits entirely within the nonshaded region of Figure P7-29. c(1) 20 18 12 4
Design a series \(R C\) circuit using dc voltage sources that delivers a voltage across the capacitor for \(t>0\) that fits entirely within the nonshaded region of Figure P7=3응 . VC(D)(V) 10 9 6
Design a first-order \(R C\) circuit that will produce the following current through the capacitor: \(i_{\mathrm{C}}(t)=40 e^{-2000 t}\) \(\mathrm{mA}\). The capacitor has an initial voltage of \(-10
Design an RC circuit that meets the following specifications: Initial Value UR(0) = 12 V Final Value UR(00) = 0 V Time Constant 1.0 s Other +10 tolerance
Design an RC circuit that meets the following specifications: Initial Value vc (0) = 10 V Final Value vc(00) = -20 V Time Constant 1.0 ms Other C 0.01 F
Design an RC circuit that meets the following specifications: Initial Value vc (0) = -12 V Final Value Uc(00) = 24 V Time Constant 10 ms Other Validate using Multisim
A timing circuit is required that feeds into an OP AMP's noninverting terminal (i.e., draws no current). The circuit's output response \(v_{\mathrm{O}}(t)\) must
A product line needs an \(R C\) circuit that will meet the following response specifications \(\pm 5 \%\) :Design a circuit to meet the specifications and validate your results using Multisim. IV FV
Find the \(v(t)\) that satisfies the following differential equation and initial conditions. Then use MATLAB to plot the resultant waveform.\[\frac{d^{2} v(t)}{d t^{2}}+2 \frac{\mathrm{d}
Find the \(v(t)\) that satisfies the following differential equation and initial conditions:\[\begin{gathered}\frac{d^{2} v(t)}{d t^{2}}+10 \frac{d v(t)}{d t}+125 v(t)=250 u(t) \\v(0)=5 \mathrm{~V},
Find the \(i(t)\) that satisfies the following differential equation and initial conditions, when \(K=3,4\), and finally 5 . Identify the Case associated with each value of \(K\). MATLAB would be
The switch in Figure P7-40 has been open for a long time and is closed at \(t=0\). The circuit parameters are \(L=2 \mathrm{H}, C\) \(=0.5 \mu \mathrm{F}, R=250 \Omega\), and
Use Multisim to study how the voltage across the circuit in Figure P \(7-41\) changes as the value of the resistor is varied. Let \(L=1 \mathrm{H}, C=1 \mu \mathrm{F}, R=500 \Omega\), and
The switch in Figure P7-42 has been open for a long time and is closed at \(t=0\). The circuit parameters are \(L=\) \(400 \mathrm{mH}, C=0.1 \mu \mathrm{F}, R_{1}=22 \mathrm{k} \Omega, R_{2}=330
The switch in Figure \(\mathrm{P} 7-43\) has been open for a long time and is closed at \(t=0\). The circuit parameters are \(L=\) \(1.25 \mathrm{H}, C=0.05 \mu \mathrm{F}, R_{1}=33 \mathrm{k}
The switch in Figure F7-43 has been open for a long time and is closed at \(t=0\). The circuit parameters are \(L=\) \(0.02 \mathrm{H}, C=0.1 \mu \mathrm{F}\), and \(V_{\mathrm{A}}=20
You have a need for an interface circuit that will connect your source to a load with a very high input resistance as shown in Figure P7-45 (a). Your interface must have a response that fits within
You have to design a water cooler for drinking water. The water intake on a summer day is at \(30^{\circ} \mathrm{C}\) and the cooler must supply drinking water in the range of \(12-24{ }^{\circ}
You have to design a cooling tower for heat rejection from a power plant. The rate of heat rejection to a single tower is given as \(100 \mathrm{MW}\). Ambient air at temperature of \(25^{\circ}
The condensers of a \(300 \mathrm{MW}\) power plant operating at a thermal efficiency of \(35 \%\) are to be cooled by the water from a nearby pond. The intake water is available at \(22{ }^{\circ}
You have to design a thermal system for the storage of thermal energy using an underground tank of water. The tank is buried with its top surface at a depth of 2.5 \(\mathrm{m}\). It is a cube of
Formulate the design problem for a hot rolling manufacturing process. The steel plate achieves reduction of thickness from \(2.5 \mathrm{~cm}\) to \(1.5 \mathrm{~cm}\) at a feed rate of 1.5
Formulate the design problem of a water supply system to a water treatment plant. The water needs to be supplied from a river to the water treatment plant at 0.2 \(\mathrm{m}^{3} / \mathrm{min}\)
Discuss the nature, type and possible locations of sensors that need to be used for safety as well as control of a thermal system, which heat short metal rods in a gas furnace and then bend them into
Select the ideal liquid for immersion cooling of an electronic system.
You are designing the tank of a water cooler. You have to decide on the location of inlet and outlet port of water from the tank. What is the ideal location for the water tap? Discuss with reasoning.
As an engineer at Tata Motors, you are asked to design an engine cooling system. The system should be capable of removing \(20 \mathrm{~kW}\) of energy from the engine of a car at a speed of \(75
A heat treatment plant needs hot water at temperature \(T_{c} \pm \Delta T_{c}\) for the heat treatment process. A storage tank of volume \(V\) and surface area \(A\) is employed for this purpose.
The bolts are placed on a conveyor belt during the heat treatment of steel bolts, which passes through a long furnace at speed \(V\), as shown in the figure below. In the first section, the bolts are
The displacement \((x)\) of a particle in a flow is measured as a function of time \((t)\). The data obtained are:Obtain a linear best flt of the data. From this fit, calculate the values at \(t\)
A water cooler is to be designed to supply cold drinking water with a given timedependent mass flow rate \(m\). Assume a cubical tank of cold water surrounded by insulation of uniform thickness.
Consider a counter-flow heat exchanger, where the heat loss to the environment is to be included in the mathematical model. The hot fluid flows outside and the cold fluid flows inside, as shown in
A hot surface of a chemical reactor at \(90^{\circ} \mathrm{C}\) is to be cooled by attaching \(2.5 \mathrm{~cm}\) long, \(0.3 \mathrm{~cm}\) diameter aluminum pin fins \(\left(k=237 \mathrm{~W} /
A fan is used to supply air through the duct. The relation between the volume flow rate, \(Q\left(\mathrm{~m}^{3} / \mathrm{s}ight.\).) and pressure difference, \(P(\mathrm{~Pa})\) is given
Consider a cylindrical rod of diameter \(d\) undergoing thermal processing and moving at a speed \(u\) as shown below:The rod may be assumed to be infinite in the direction of motion. Energy transfer
A lump of ice with a mass of \(1.5 \mathrm{~kg}\), at an initial temperature of \(T_{1}=260 \mathrm{~K}\) melts at a pressure of 1 bar as a result of heat transfer from the environment. After some
A combustible mixture of \(\mathrm{CO}\) and air containing \(15 \% \mathrm{CO}\) by volume enters a combustion chamber at \(0.5 \mathrm{~kg} / \mathrm{s}\). The pressure, temperature and the mean
Consider a coal gasification reactor making use of the carbon steam process in which carbon at \(25^{\circ} \mathrm{C}, 1\) bar and water vapor at \(316{ }^{\circ} \mathrm{C}, 1\) bar enter the
We wish to determine whether less exergy is destroyed when we drive a car with all windows closed and the air conditioner on than when we drive with the windows open and the air conditioner off. The
A vapor compression heat pump uses R12 as the working fluid. The condenser used in the heat pump is an air-cooled counter-flow heat exchanger. The operating parameters are:Assume air to be a perfect
Cylinder (Dia, \(D=10 \mathrm{~cm}\), Length, \(W=100 \mathrm{~cm}\) ) arrays of a heat exchanger with an inline arrangement are exposed to a uniform velocity of \(U=2 \mathrm{~m} / \mathrm{s}\) and
Discuss the procedure of material selection for mold material for casting of aluminum. How will the material be different when it is required to cast steel instead?
Determine the materials currently being used for proper functioning of the following systems: (a) Solar cells, (b) Wind turbine blade, (c) Fuel cells, (d) Automobile bodies and (e) ship bodies.
Discuss how material selection for thermal system can play a role in green design.
Discuss the ideal coolant selection for immersion cooling of data center with proper justification.
Review the state of the art on application of artificial intelligence for material selection related to thermal management of any electronics cooling application.
A shell and tube heat exchanger with one-shell pass and multiples of two-tube passes is constructed from \(0.0254 \mathrm{~m}\) OD tube to cool \(693 \mathrm{~kg} / \mathrm{s}\) of a \(95 \%\) ethyl
A two-pass tube baffled single-pass shell; shell and tube heat exchanger is used as an oil cooler. Cooling water flows through the tubes at \(20^{\circ} \mathrm{C}\) at a flow rate of \(4.082
A heat exchanger is to be designed to heat raw water by the use of condensed water at \(67{ }^{\circ} \mathrm{C}\) and \(0.2 \mathrm{bar}\), which will flow in the shell side with a mass flow rate of
A single-pass shell and tube heat exchanger (condenser) heats \(946 \mathrm{~m}^{3} / \mathrm{h}\) of water from \(10{ }^{\circ} \mathrm{C}\) to \(38{ }^{\circ} \mathrm{C}\). The heat exchanger uses
Air at 2 atm2 atm and 500 K500 K with a velocity of U=20 m/sU=20 m/s flows across a compact heat exchanger matrix having surface type I1.32-0737-S-R. The length of the matrix is 0.8 m0.8 m.
The piping network shown below uses smooth cast iron pipes (C:130). The diameter and length of pipes in the network are pipe \(1:\) dia. \(=0.31 \mathrm{~m}\), length \(=609.6\) \(\mathrm{m}\); pipe
Find out the flow rate in each line of the following piping circuit. Here, \(K\) is the Hazen-Williams coefficient with \(n=2\). 3 cfs 10 1 3 6 Loop-1 Loop-2 2 7 cfs -2 cfs 0.283 m/s K = 660 K = 220
A piping circuit with a pump is shown in Figure 6.26. The pump characteristic used in the circuit is given as \(h_{f D}=0.4 Q-A\) where, \(A\) is a constant equal to the shut-off head of the pump and
Write a PYTHON program to solve the following system of equations:\[\begin{gathered}3 x+2 y+z=6 \\4 x+6 y+5 z=15 \\7 x+8 y+9 z=24\end{gathered}\]The computer program is provided with the companion,
Write a PYTHON program to solve the above system of equations using the Gauss-Seidel iteration.
Write a computer program to solve the following ODE using the fourth-order RK method:\[\begin{equation*}y^{\prime}=x y^{2}, \quad y(x=0)=1 \tag{9.27}\end{equation*}\]
Write a computer program to solve the following ODE using the fourth-order RK and shooting method:\[\begin{equation*}y^{\prime \prime}=x y^{2}, \quad y(x=0)=1, \quad y^{\prime}(x=0)=1
Write a computer program to solve the following ODE using the fourth-order RK method:\[\begin{equation*}y^{\prime}=x-y, \quad y(x=0)=1 \tag{9.29}\end{equation*}\]
Write a computer program to solve the following ODE using the finite difference method:\[\begin{equation*}y^{\prime \prime}=x-y, \quad y(x=0)=1, \quad y^{\prime}(x=0)=1 \tag{9.30}\end{equation*}\]
Write a computer program to solve the following ODE using the fourth-order RK method:\[\begin{equation*}y^{\prime}+y \tan x=\sin (2 x), \quad y(x=0)=1 \tag{9.31}\end{equation*}\]
Express \(f_{i}^{\prime \prime}\) in terms of \(f_{i}, f_{i+1}, f_{i+2}\) in a uniform grid.
Express \(f_{i}^{\prime \prime}\) in terms of \(f_{i}, f_{i-1}, f_{i-2}\) in a uniform grid.
Express \(f_{i}^{\prime \prime}\) in terms of \(f_{i}, f_{i+1}, f_{i+2}\) in a nonuniform grid.
Express \(f_{i}^{\prime \prime}\) in terms of \(f_{i}, f_{i-1}, f_{i-2}\) in a nonuniform grid.
Find the order of accuracy in the trapezoidal rule and Simpson's rule.
Evaluate the following integral using the trapezoidal rule, and calculate the difference between analytical and numerical solutions:\[\begin{equation*}I=\int_{0}^{10}\left(x^{2}+2 x+5ight) d x
Evaluate the following integral using the Simpson rule, and calculate the difference between analytical and numerical solutions:\[\begin{equation*}I=\int_{0}^{10}(2 x+5) d x
Consult any standard engineering mathematics book and solve the following PDE analytically:\[\begin{equation*}\frac{\partial u}{\partial t}=\alpha \frac{\partial^{2} u}{\partial x^{2}}
Consult any standard engineering mathematics book and solve the following PDE analytically:\[\begin{equation*}\frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0
Write a computer program, in any language, to solve 2-D transient diffusion equation using explicit method. Validate your result with an analytical solution. Clearly write the solution algorithm.
Solve the following PDE numerically using the pseudo-transient approach. Vary initial conditions to show that your final solution is independent of the initial
Use von Neumann stability analysis to compare the stability criteria of explict, implict and Crank-Nicolson methods for a 2-D transient diffusion equation. Use \(\Delta x=\Delta y\).
Consider the steady developing flow between two parallel plates.a. Write the governing equations and the boundary conditions.b. Non-dimensionalize the governing equations and the boundary
For flows where \(\operatorname{Re}
For the lid-driven cavity problem, conduct parametric studies for \(R e=1, R e=100, R e=200\). Discuss, qualitatively, how the flow field changes with the \(R e\).
For laminar flow over an infinite parallel plate, we often assume boundary layer (BL) approximation. Under BL approximation, we often solve the Blasius equation to find the laminar boundary flow over
Consider a fuel cell working with carbon and oxygen. Find the reversible voltage and reversible efficiency of the cell
Can the reversible efficiency be more than 1, justify your answer.
Consider steady, 1-D heat conduction problems where we wish to use inverse technique to estimate the unknown thermal conductivity using measured temperatures at few discrete locations. In each of the
1. Carefully review the following economic concepts and make sure you have a clear understanding of them: neoclassical economics, absolute scarcity, relative scarcity, nathouseholds human-made
Design an OP AMP circuit that solves the following second-order differential equation for \(v_{\mathrm{O}}(t)\). Solve for the response for \(v_{\mathrm{O}}(t\) ) using Multisim. Caution: Avoid
An upgrade to one of your company's robotics products requires a proportional plus integral compensator that implements the input-output relationship\[v_{\mathrm{O}}(t)=v_{\mathrm{S}}(t)+50

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