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Problem 1 (50 points): The working principle of industrial micro-manometers is shown in the picture on the left. The fluid filled inside two identical revervoirs having specific weight \( \gamma_{x}=8
Industrial micro-manometers are used to measure the pressure in various industrial applications. The working principle of industrial micro-manometers is based on the differences in pressure between two fluids.
The fluids used in these manometers have different specific weights. The pressure difference between the two fluids is measured using a U-tube. The pressure difference can be calculated using the following
formula:P = hγwhere P is the pressure difference, h is the height difference between the two fluids in the U-tube, and γ is the specific weight of the fluid.The specific weight of the fluids used in the manometers is different. The specific weight of the fluid in the left reservoir is γx = 8 kN/m3,
while the specific weight of the fluid in the right reservoir is γy = 6 kN/m3. The pressure difference between the two fluids can be calculated using the formula:P = h(γx - γy)
The pressure difference can be measured by a pressure gauge attached to the U-tube. The working principle of the industrial micro-manometer is simple, yet it is accurate and reliable. It is widely used in various industrial applications, such as chemical plants, oil refineries, and power plants.
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Give an example of a situation in which B (magnetic flux density) is zero and A (vector magnetic potential) is not.
Magnetic flux density (B) is defined as the magnetic field per unit area. It is a vector quantity that represents the strength of a magnetic field in a given area.
In a situation where B (magnetic flux density) is zero, A (vector magnetic potential) can still exist. This scenario occurs when there is a magnetic field produced by a non-curl-free magnetic vector potential. In other words, a magnetic vector potential can be non-zero even when the magnetic field is zero.
For example, let’s consider a superconducting wire that has zero resistance, and a uniform magnetic field is applied to the wire. In this scenario, the magnetic flux density is zero because the magnetic field is being cancelled by the induced current. However, the vector magnetic potential still exists, which is given by the equation A = (H x l) / 2π, where H is the magnetic field intensity, and l is the length of the wire.
Thus, even when the magnetic flux density is zero, vector magnetic potential can still exist as a result of non-curl-free magnetic vector potential.
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Determine whether the following statements are TRUE or FALSE. (a) A system is time-invariant if it is linear. (b) The frequency of a sinusoid is proportional to its period.
(a) The statement "A system is time-invariant if it is linear" is false.(b) The statement "The frequency of a sinusoid is proportional to its period" is true.
Explanation:(a) A system is time-invariant if its response to an input doesn't vary over time. A linear system obeys the properties of superposition and homogeneity, and if both of these characteristics are met, the system is time-invariant as well. Hence, the statement "A system is time-invariant if it is linear" is false because a system can be linear but not time-invariant.
For example, a simple RC circuit is a linear system, but it is not time-invariant because its response varies with time.(b) The frequency of a sinusoid is proportional to its period. Frequency is defined as the number of cycles per second, whereas period is defined as the time taken to complete one cycle. The two quantities are inversely proportional to each other. Since frequency and period are related by a constant factor, the statement "The frequency of a sinusoid is proportional to its period" is true.
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points Ja The following is an adjacency list representation of a graph. VO: V4 V5 v1: v3 v2: v3: v4: v5 v5: v1 v2 v6: v1 v2 For any vertex, no content after : implies no outgoing edges. We execute BFS from the vertex v0. Using the adjacency list above, state the order in which vertices are added to the queue (write the vertices in comma-separated manner): type your answer... The final content of the level array is (write comma-separated values and inf to denote infinity): type your answer...
To determine the order in which vertices are added to the queue during BFS and the final content of the level array, we can perform the BFS algorithm starting from vertex v0 using the given adjacency list representation.
BFS Order: v0, v1, v3, v2, v4, v5, v6
Explanation: Starting from v0, we explore its adjacent vertices v4 and v5. Then, we move to v1 and explore its adjacent vertex v3. Next, we move to v2 and explore its adjacent vertex v3. Continuing in the same manner, we explore the remaining vertices v4, v5, and v6.
Final Level Array: 0, 1, 2, 2, 1, 1, inf
Explanation: The level array stores the level (or distance) of each vertex from the starting vertex v0. The value of inf denotes that a vertex is unreachable from v0. As we perform BFS, we update the level array accordingly. The final level array indicates the levels of vertices after completing the BFS traversal.
Please note that the level array assumes v0 as level 0, and the levels of other vertices are determined based on their distance from v0.
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Draw the logic circuit & block diagram of the following flip-flops a. SR ff b. RS ff c. Clocked SR ff d. Clocked
The flip-flop is a circuit that has two stable states and can be used to store state information. A flip-flop is the fundamental building block of digital electronics. The following are the various types of flip-flops and their corresponding logic circuit & block diagrams.
a) SR Flip-Flop:This flip-flop has two inputs, S and R, and two outputs, Q and Q' (complement of Q). The logic circuit diagram and block diagram of an SR flip-flop are shown below: Logic Circuit Diagram Block Diagram b) RS Flip-Flop:This flip-flop has two inputs, R and S, and two outputs, Q and Q' (complement of Q). The logic circuit diagram and block diagram of an RS flip-flop are shown below: Logic Circuit Diagram Block Diagram c) Clocked SR Flip-Flop:This flip-flop has an additional input,
C (clock), which controls the state of the flip-flop. The logic circuit diagram and block diagram of a clocked SR flip-flop are shown below: Logic Circuit Diagram Block Diagram d) Clocked RS Flip-Flop:This flip-flop also has an additional input, C (clock), which controls the state of the flip-flop. The logic circuit diagram and block diagram of a clocked RS flip-flop are shown below: Logic Circuit Diagram Block Diagram The above-mentioned flip-flops are the most commonly used flip-flops in digital electronics. They are used in various applications like counters, registers, and memory circuits.
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where ceiling joists or rafters are cut to make an opening (skylight, dormer etc.) the load from the cut members must be transferred to adjacent members. the framing installed to do this is called a
When ceiling joists or rafters are cut to make an opening (skylight, dormer, etc.), the load from the cut members must be transferred to adjacent members. The framing installed to do this is called a header.
What is a header?A header is a member of the framing that spans an opening in a building and is used to transmit loads from above to adjacent members. Headers are used in window, door, and skylight openings.
Headers are frequently found in frame construction and are supported by walls or beams, depending on the design.Header joists are the final members installed in a floor or ceiling framing system, and they support the exterior walls and interior partitions. Header joists are usually the same size as the floor joists in a given structure.
However, when the span of the header exceeds 4 feet, it must be strengthened by doubling it or adding thickness to it.The ends of headers are supported by trimmer joists, which transfer the header's load to the next adjacent joist in the framing.
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2. Consider the following network operating in the sinusoidal steady state with input voltage source v(t) - 60Sin(2001) V
a) Draw the phasor equivalent of the circuit
b) Find phasor V.
c) Find steady state expression for vo(t)
Given,Input voltage source v(t) = 60sin(2001t) VPhasor diagram,
The voltage across the capacitor leads the current by 90 degrees.
Hence, the voltage across the capacitor is 90 degrees leading with respect to the current through it.
Now, finding the phasor of the voltage v (t).
V = 60V / _(-90°)
The voltage across the capacitor and inductor are same, as they are connected in parallel.
Also, the voltage across the resistor and capacitor are in phase.
Steady-state expression for Vo(t),
We know that the output voltage (Vo) is the difference between the voltages across the capacitor and the inductor.i.e.,
Vo = VC - VLa.
Phasor diagram for the given circuit:b. Phasor V:
V = 60V / _(-90°) = -j60V
c. Steady-state expression for Vo(t):
Given,Vo = VC - VL
The voltage across the capacitor (VC) is given by,
VC = V / _(-90°)
= 60V / _(-90°)
Now, the voltage across the inductor (VL) is given by,Voltage drop across the inductor,
VL = I
ωL = (V/2)
ωL= 60 / 2 * (2001) * 10^-2
= 60 / 400.2
= 0.1498 V
= 0.1498 V / _(90°)
Thus, the voltage across the inductor is,
VL = 0.1498 V / _(90°)
Now,
Vo = VC - VL
= 60V / _(-90°) - 0.1498 V / _(90°)
= (60 / 1) / _(-90) - (0.1498 / 1) / _(90)
= (60 + j0.1498) / _(-90)
Therefore, the steady-state expression for Vo(t) is,Vo(t) = 60 sin(2001t + 90) + 0.1498 sin(2001t - 90)
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During address translation with segmented memory, where are the base and bounds values for a process normally stored?a. in registers of the CPUb. in memory (in other words, RAM)c. in registers of the memory management unit
a. in registers of the CPU During address translation with segmented memory, the base and bounds values for a process are typically stored in registers of the CPU.
These registers are dedicated to managing memory segmentation and are part of the memory management unit (MMU) within the CPU. The base value represents the starting address of a segment, while the bounds value indicates the size or limit of the segment. When a process accesses memory, the CPU uses these base and bounds values to perform address translation. The advantage of storing base and bounds values in CPU registers is that they can be accessed quickly during memory access operations. The CPU can compare the virtual address being accessed with the bounds value to ensure that it falls within the valid range of the segment. If the address is valid, the CPU adds the base value to the address to obtain the corresponding physical memory address By keeping the base and bounds values in registers, the CPU can efficiently handle memory segmentation without having to access main memory (RAM) or additional storage locations. This helps improve the performance of address translation and memory management during the execution of a process.
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A school currently pays $23,000 per year for the electricity it uses at a unit price of $0.11/kWh. The school management decides to install a wind turbine with a blade diameter of 20 m and an average overall efficiency of 30 percent in order to meet its entire electricity needs. What is the required average velocity of wind in this location? Take the density of air to be 1.2 kg/m³ and assume the turbine operates at the required average speed 7500 h per year.
The expression for the electrical power produced by a wind turbine is:
[tex]P = ½ρAV³η[/tex]
where ρ is the density of air, A is the swept area of the blades, V is the wind velocity, and η is the efficiency of the turbine.Let V be the required average velocity of wind, and A be the swept area of the blades.
From the formula for the swept area of a wind turbine:
[tex]A = πr² = π(d/2)²[/tex]
where d is the blade diameter. Hence, we have:
[tex]A = π(20 m/2)²[/tex]
[tex]A = 314 m²[/tex]
Let P be the electrical power produced by the turbine, and let E be the electrical energy used by the school per year. The electrical energy produced by the turbine is:
[tex]P = ½ρAV³η= ½ × 1.2 kg/m³ × 314 m² × V³ × 0.3[/tex]
[tex]P = 56.52V³ W[/tex]
The electrical energy used by the school per year is:
[tex]E = 23,000/($0.11/kWh) × 1 kW/1000 W × 7500 h/yr= 17,045,454.55 W[/tex]
Thus, the required average velocity of wind is given by:
[tex]56.52V³ = 17,045,454.55 V³[/tex]
[tex]= (17,045,454.55/56.52)^(1/3) ≈ 17.94 m/s[/tex]
Therefore, the required average velocity of wind is approximately 17.94 m/s.
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A negative unity feedback control system is characterized by the open loop transfer function:
G(s) = K (s + 1)2 / s(s2-4)
(a) Calculate the range of values of K for the system to be stable.
(b) Calculate the marginal value of K for stability. Calculate frequency of the sustained oscillations if any.
The marginal value of K for stability is 0. A negative unity feedback control system is characterized by the open-loop transfer function G(s) = K(s + 1)²/s(s² - 4).(a) Calculate the range of values of K for the system to be stable.To determine the range of values of K for which the system is stable,.
the Routh array will be used. The first column of the array is positive, the second is negative and the third is positive. This implies that there are two poles in the right-hand side and one pole in the left-hand side of the s-plane. For a negative unity feedback control system to be stable, all the poles should lie on the left-hand side of the s-plane. For the poles of a system to lie on the left-hand side of the s-plane, the coefficients of the first column should all be positive, that is:1 > 0K > 0The range of values of K for the system to be stable is (0, 1).
Calculate the marginal value of K for stability. Calculate the frequency of the sustained oscillations if any.The system will oscillate at the frequency of a sustained oscillation if the imaginary part of the pole of the system is zero. To find the marginal value of K for stability, the following Routh array will be used: s^3 | 1 0 0 | s^2 | 1 0 0 | s | 0 (K - 4) 0 | s^0 | 0 K 2K | The coefficient in the first column of the third row is zero.2K = 0K = 0For K = 0, the system has a sustained oscillation. This is a simple harmonic oscillator with a frequency of 2 rad/s. When K = 0, the transfer function is G(s) = (s + 1)²/s(s² - 4)
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The following constant coefficient difference equation characterizes an LTI system
y[n 1] = 0.4y[n-2] 0.2x[n] +0.5x[n-1]+ 0.4x[n - 2]
a) Comment on the stability and causality of the system? b) Compute the effect of the system on the magnitude and phase of л/2 frequency content in an input signal x[n].
The effect of the system on the magnitude and phase of the л/2 frequency content in an input signal x[n] is to increase the magnitude by a factor of 1.75 and to shift the phase by -86.6°. The given constant coefficient difference equation characterizes an LTI system y[n + 1] = 0.4y[n - 2] + 0.2x[n] + 0.5x[n - 1] + 0.4x[n - 2]. C
A system is stable if and only if the impulse response is absolutely summable. To determine if the impulse response is absolutely summable, consider the impulse response of the system (i.e., the response when x[n] = δ[n]).y[n + 1] = 0.4y[n - 2] + 0.2x[n] + 0.5x[n - 1] + 0.4x[n - 2]When x[n] = δ[n], the above equation reduces to y[n + 1] = 0.4y[n - 2] + 0.2δ[n] + 0.5δ[n - 1] + 0.4δ[n - 2]This can be written as y[n + 1] - 0.4y[n - 2] = 0.2δ[n] + 0.5δ[n - 1] + 0.4δ[n - 2]Taking the Z-transform of the above equation, we getY(z)(z³ - 0.4z^-2) = X(z)(0.2 + 0.5z^-1 + 0.4z^-2)Y(z)/X(z) = (0.2 + 0.5z^-1 + 0.4z^-2)/(z³ - 0.4z^-2)The above equation is the transfer function of the system, which can be factorized asY(z)/X(z) = (2z^-1 + 1)/(z^-1 - 0.2)(z^-1 + 0.5)(z^-1 + 0.4)To ensure that the system is stable, we need to ensure that all the poles of the transfer function lie inside the unit circle.
The poles of the transfer function are obtained by setting the denominator to zero.z³ - 0.4z^-2 = 0z^-2(z^5 - 0.4) = 0z = 0.4^(1/5)e^(j(2πk/5)) for k = 0,1,2,3,4.The magnitude of the poles is less than 1, and hence the system is stable. Causality:A system is causal if its output at time n depends only on the present and past values of the input x[n]. From the given difference equation ,y[n + 1] = 0.4y[n - 2] + 0.2x[n] + 0.5x[n - 1] + 0.4x[n - 2],we can see that the output at time n + 1 depends on the input values at n, n - 1, and n - 2, and the output values at n - 2.
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In an industrial facility, both electrical power and a process heating load of 14000 kW are needed. The required heat and electrical power are supplied by a combined steam plant, where steam enters the turbine at 20 bar, 450°C and exhaust steam leaves at 2.0 bar. The isentropic efficiency of the turbine is 0.85. The process heat is provided by the turbine exhaust steam. in this facility the condensate drain from the process heater at the saturation temperature is fed back to the pump. Determine: (a) The temperature of the exhaust steam leaving the turbine (b) The mass flow rate of the steam entering the turbine (4) (c) The power supplied by the turbine. (4)
a) Temperature of the exhaust steam leaving the turbineThe temperature of the exhaust steam leaving the turbine can be calculated by using the following formula:T2 = T1 - [(T1 - T3)/ηt]whereT1 = Entering steam temperature = 450 °CT3 = Exhaust steam temperature = ?ηt = Turbine isentropic efficiency = 0.85T2 = Condensate temperature = saturation temperature at 2.0 barPFrom steam tables, the saturation temperature at 2.0 bar is 120.2 °C.
Substituting the values in the above formula, we get:T3 = 450 - [(450 - 120.2)/0.85]= 192.95 °CTherefore, the temperature of the exhaust steam leaving the turbine is 192.95 °C. (b) Mass flow rate of the steam entering the turbineThe mass flow rate of the steam entering the turbine can be calculated by using the following formula:m = Q/(h1 - h2)whereQ = Heat supplied to the process heater = 14000 kW (given)h1 = Enthalpy of steam entering the turbineFrom steam tables, h1 at 20 bar and 450 °C is 3238.1 kJ/kg.h2 = Enthalpy of exhaust steam leaving the turbineFrom steam tables, h2 at 2.0 bar and 192.95 °C is 2650.4 kJ/kg.Substituting the values in the above formula, we get:m = 14000/(3238.1 - 2650.4)= 16.48 kg/sTherefore, the mass flow rate of the steam entering the turbine is 16.48 kg/s. (c) Power supplied by the turbineThe power supplied by the turbine can be calculated by using the following formula:W = m(h1 - h2)ηtwhereW = Power supplied by the turbine = ?m = Mass flow rate of the steam entering the turbine = 16.48 kg/sh1 = Enthalpy of steam entering the turbine = 3238.1 kJ/kgh2 = Enthalpy of exhaust steam leaving the turbine = 2650.4 kJ/kgηt = Turbine isentropic efficiency = 0.85Substituting the values in the above formula, we get:W = 16.48 × (3238.1 - 2650.4) × 0.85= 18412.52 kWTTherefore, the power supplied by the turbine is 18412.52 kW.
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Write a C program to design a structure named Batsmen. The structure contains the components – Name, Country, Matches, TotalRuns. Create function named getBattingAverage that returns the batman’s average which is total runs divided by total matches (you do not need to think about not out counts here). Write a program that creates 5 Batsmen with different names, countries, matches and runs scored then print the name and country of the player with the highest batting average.
Here's a C program that implements the structure Batsmen and the getBattingAverage function. It creates 5 Batsmen with different names, countries, matches, and runs scored, and then prints the name and country of the player with the highest batting average:
```c
#include <stdio.h>
#include <string.h>
#define MAX_PLAYERS 5
struct Batsmen {
char Name[50];
char Country[50];
int Matches;
int TotalRuns;
};
float getBattingAverage(struct Batsmen player) {
return (float)player.TotalRuns / player.Matches;
}
int main() {
struct Batsmen players[MAX_PLAYERS];
// Input player details
for (int i = 0; i < MAX_PLAYERS; i++) {
printf("Enter details for Batsman %d:\n", i + 1);
printf("Name: ");
scanf("%s", players[i].Name);
printf("Country: ");
scanf("%s", players[i].Country);
printf("Matches: ");
scanf("%d", &players[i].Matches);
printf("Total Runs: ");
scanf("%d", &players[i].TotalRuns);
}
// Find player with the highest batting average
int highestAvgIndex = 0;
float highestAvg = getBattingAverage(players[0]);
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Water is the working fluid in a Rankine cycle modified to include one closed feedwater heater and one open feedwater heater. Superheated vapor enters the turbine at 16 MPa, 560°C, and the condenser pressure is 8 kPa. The mass flow rate of steam entering the first-stage turbine is 120 kg/s. The closed feedwater heater uses extracted steam at 4 MPa, and the open feedwater heater uses extracted steam at 0.3 MPa. Saturated liquid condensate drains from the closed feed water heater at 4 MPa and is trapped into the open feedwater heater. The feedwater leaves the closed heater at 16 MPa and a temperature equal to the saturation temperature at 4 MPa. Saturated liquid leaves the open heater at 0.3 MPa. Assume all turbine stages and pumps operate isentropically. Determine (a) the net power developed, in kW. (b) the rate of heat transfer to the steam passing through the steam generator, in kW. (c) the thermal efficiency. (d) the mass flow rate of condenser cooling water, in kg/s, if the cooling water undergoes a temperature increase of 18°C with negligible pressure change in passing through the condenser.
The net power developed (W net) is 10,202.82 kW. The rate of heat transfer to the steam passing through the steam generator is 10,227.05 kW. The thermal efficiency (η) is 0.9976 or 99.76%. And the mass flow rate of cooling water required is 21.26 kg/s.
a) To determine the net power developed, we need to find the heat addition, heat rejection and the pump work. The heat addition (Qin) can be calculated as, Qin = m(h3 - h2).
= 10,227,048.8 J/s
The heat rejection (Q out) can be calculated as, Q out = m(h4 - h1)Q out
= 1656.12 J/s
The pump work is, Wpump = m(Δhf)
= 23,573.2 J/s
The net power developed (Wnet) is given by,Wnet = Qin - Qout - Wpump
= 10,202.82 kW
b) Heat transfer to the steam passing through the steam generator (Qin) is given as, Qin = m (h3 - h2)
Qin = 10,227.05 kW
c) The thermal efficiency (η) of the Rankine cycle is given by,η = Wnet / Qinη
= 0.9976 or 99.76%
d)The rate of heat transfer from the condenser to the cooling water is given as, Qout = mCpΔT
Qout = mCp (T2 - T1)1656.12
= mCp (27 - 9)Cp
= 4.3865 kJ/kg
KThe mass flow rate of cooling water (m) can be calculated as,m = Qout / (CpΔT)
= 21.26 kg/s Hence, the mass flow rate of cooling water required is 21.26 kg/s.
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Question 4 10 pts If the period of a signal is 4 ms, what is the value of the first and seventh harmonics?
a. 250 Hz and 1.75 kHz
b. The problem doesn't provide enough information to compute the harmonics.
c. 25 Hz and 125 Hz
d. 250 Hz and 1.25 kHz
e. 4 Hz and 20 Hz
The first harmonic frequency is:1st harmonic frequency = 1 × 250 Hz = 250 Hz. And the seventh harmonic frequency is: 7th harmonic frequency = 7 × 250 Hz = 1750 Hz or 1.75 kHz. Hence, the answer is (a) 250 Hz and 1.75 kHz.
In order to calculate the value of the first and seventh harmonics of a signal with a period of 4 ms, we can use the following formula: nth harmonic frequency = n × fundamental frequency where n is the harmonic number and the fundamental frequency is the inverse of the period (i.e. frequency = 1/period).
Thus, the fundamental frequency of the signal is: fundamental frequency = 1/period = 1/0.004 = 250 Hz. Therefore, the first harmonic frequency is:1st harmonic frequency = 1 × 250 Hz = 250 Hz. And the seventh harmonic frequency is:7th harmonic frequency = 7 × 250 Hz = 1750 Hz or 1.75 kHz. Hence, the answer is (a) 250 Hz and 1.75 kHz.
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the conductor size, fuse or circuit breaker size, and overload size are generally determined using the ____.
The conductor size, fuse, or circuit breaker size, and overload size are generally determined using the National Electrical Code (NEC).
National Electrical Code is a guidebook, which is a national standard published by the National Fire Protection Association (NFPA), that provides guidelines for the safe installation of electrical wiring and equipment in homes, buildings, and other facilities.
The NEC provides guidelines for wire ampacity, overcurrent protection, and maximum circuit length, among other things. The conductor size is determined by the load current, the maximum circuit length, and the conductor temperature rating.
The maximum circuit length is determined by the voltage drop, the load current, and the conductor size.Fuse and circuit breaker sizes are determined based on the current-carrying capacity of the conductor. They must be properly sized to protect the conductor from overcurrent, but not so small that they trip unnecessarily.The overload size is determined based on the load current.
Overload protection is a type of overcurrent protection that protects equipment from overheating and burning out due to excessive current. It is usually provided by thermal overload relays or electronic overload relays, which detect excessive current and disconnect the power source to the equipment.
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Plot the chart of step responses of the transfer functions:
g1 = 49/s^2+7s+49
g2= 36/s^2+12s+36
g3=25/s^2+25
g4=36/s^2+20s+36
The standard way to plot step responses of transfer functions is by using MATLAB.
Here, the transfer functions are as follows[tex]:g1 = 49/s^2+7s+49g2= 36/s^2+12s+36g3=25/s^2+25g4=36/s^2+20s+36[/tex]
Step response of g1:
We will use the following formula to find the step response of [tex]g1: 1 / ((s+a)^2 +b^2)G1 = (49 / (s^2+7s+49))[/tex]
Step Response =[tex][ 1 / (s*(s+7/2+j(3/2)*sqrt(3))*(s+7/2-j(3/2)*sqrt(3)))]*49[/tex]
The above transfer function G1 can be represented in terms of partial fractions as follows [[tex]1 / (s*(s+7/2+j(3/2)*sqrt(3))*(s+7/2-j(3/2)*sqrt(3)))]*49[/tex]
Step Response=[tex](49/12)*(1-e^(-7/2t)*sin(3/2*t)*sqrt(3)-cos(3/2*t)*sqrt(3))Step response of g2:G2 = (36 / (s^2+12s+36))[/tex]
Step Response = [tex]1 / (s+6)^2G2[/tex] can be represented in terms of partial fractions as follows:[tex]G2(s) = A/(s+6)+B/(s+6)^2[/tex]
Step Response=[tex](3/2)+(t/2)e^(-6t)Step response of g3:G3 = (25 / (s^2+25))[/tex]
Step Response = [tex]1[/tex][tex]/ (5) * tan^-1(t/5)G3[/tex] can be represented in terms of partial fractions as follows:[tex]G3(s) = A/(s+5)+B/(s-5)[/tex]
Step Response[tex]= (1/2)-(1/2)e^(-5t)[/tex]
Step response of[tex]g4:G4 = (36 / (s^2+20s+36))[/tex]
Step Response [tex]= 1 / (s+10)^2G4[/tex]can be represented in terms of partial fractions as follows:[tex]G4(s) = A/(s+10)+B/(s+10)^2[/tex]
Step Response= [tex](3/5)+(2/5)te^(-10t)-e^(-10t)[/tex]
Hence, we have plotted the chart of step responses of transfer functions.
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Can the bandpass and bandstop frequency shaping characteristics be implemented with first-order transfer functions, possibly employing one zero and/or one pole at most? Explain.
The bandpass and bandstop frequency shaping characteristics can be implemented with first-order transfer functions by employing one zero and/or one pole at most. Let's take a look at the explanation below:
In order to achieve a bandpass characteristic, the zero and pole positions must be separated by the same ratio as their magnitude, which is a fixed ratio known as the quality factor. Because the Q factor is equal to the frequency at which the zero and pole are separated divided by their spacing, the filter's bandwidth can be adjusted by adjusting the Q factor. The larger the Q factor, the narrower the bandwidth will be, while the smaller the Q factor, the wider the bandwidth will be. As a result, a first-order bandpass filter may be employed to generate bandpass filtering characteristics in a variety of applications.
On the other hand, a bandstop filter is constructed by cascading a high-pass and a low-pass filter, and in order to achieve a bandstop characteristic, the zero and pole positions must be separated by the same ratio as their magnitude, which is also a fixed ratio known as the quality factor. Because the Q factor is equal to the frequency at which the zero and pole are separated divided by their spacing, the filter's bandwidth can be adjusted by adjusting the Q factor. The larger the Q factor, the narrower the bandwidth will be, while the smaller the Q factor, the wider the bandwidth will be. As a result, a first-order bandstop filter may be employed to generate bandstop filtering characteristics in a variety of applications. In summary, the bandpass and bandstop frequency shaping characteristics can be implemented with first-order transfer functions, possibly employing one zero and/or one pole at most.
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Problem 3: Resistive Load Inverter Design
Design an inverter with a resistive load for Vpp = 2.0 V and V₂ = 0.15 V. Assume P = 20 μW, K₂ = 100 μA/V², and VTN = 0.6 V. Find the values of R and (W/L) of the NMOS.
Given, Vpp = 2.0 V,
V₂ = 0.15 V,
P = 20 µW,
K₂ = 100 µA/V², and VTN = 0.6 V
To find, the values of R and (W/L) of the NMOS.
Calculation: As the resistive load inverter is given, the design equation for the given NMOS is,
R = (Vdd - V₂) / (P / Vdd)
Where
Vdd = Vpp / 2
= 2 / 2
= 1 V
Therefore,
R = (1 - 0.15) / (20 × 10⁻⁶ / 1)
= 42500 Ω (approx)
Now, (W/L) for the NMOS is given by the equation,
(W/L) = 2KP / [(Vdd - VTN)²]
Substitute the given values to get,
(W/L) = [2 × 100 × 10⁻⁶ × 20 × 10⁻⁶] / [(1 - 0.6)²]
= 2.778
Thus the values of R and (W/L) of the NMOS are 42500 Ω and 2.778 respectively.
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Which one of the following codes adds a new cell at the end?
a)
Function(Cell: top, Cell: new_cell)
While (top.Next != null)
top = top.Next
End While
top.Next = new_cell
new_cell.Next = null
End Function
b)
Function(Cell: top, Cell: new_cell)
While (top.Next != null)
top = top.Next
End While
top.Next = new_cell
End Function
c)
Function(Cell: top, Cell: new_cell)
While (top.Next != null)
top = top.Next
End While
new_cell.Next = null
End Function
d)
Function(Cell: top, Cell: a_cell)
new_cell.Next = top.Next
top.Next = a_cell
End Function
2. Numerical Integration and Root Finding are are approximation methods for use when exact methods such as calculus work
3. Numerical algorithms are useful in many tasks that are not "desktop-oriented" things such as spreadsheets and word processors.
4. Arrays let you jump to specific items but if most entries are "unused" they waste space
5. Regular matrix multiplication is O(N^3)
a) is the code that adds a new cell at the end.
Explanation:
In option a), the code iterates through the linked list by moving the `top` pointer until it reaches the last cell (where `top.Next` is `null`). Then, it assigns the `new_cell` as the next cell of the last cell (`top.Next = new_cell`) and sets the `new_cell.Next` pointer to `null` to indicate the end of the list.
Options b), c), and d) modify the next pointers of the last cell (`top.Next`) but do not correctly link the `new_cell` at the end of the list.
2. Numerical Integration and Root Finding are approximation methods used when exact methods such as calculus are not applicable or computationally expensive.
3. Numerical algorithms are indeed useful in many tasks beyond traditional desktop-oriented applications, including scientific simulations, data analysis, optimization problems, and more.
4. Arrays do allow direct access to specific items, but if a significant portion of the entries in the array are unused, it can result in wasted space and inefficient memory utilization.
5. Regular matrix multiplication has a time complexity of O(N^3), meaning the computational effort grows exponentially with the size of the matrices being multiplied.
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Question 4 (2 M) For a load, Vrms = 110 V, theta= 15 degrees, Determine: (a) the complex and apparent powers, (b) the real and reactive powers, and (c) the power factor and the load impedance. Question 5 (2 M) A balanced Y-connected load with a phase impedance of 40+/25 92 is supplied by a balanced, positive sequence -connected source with a line voltage of 210 V. Calculate the phase currents. Use Vab as reference.
The phase currents are 2.58 - j1.59 amps.
Question 4Solution
a) The formula for complex power is: S = VI* where V is the rms voltage and I is the complex currentS = V rms I*Apparent power (S) = 110 volts x IComplex power = S= 110 I∠15° = (110 ∠15°) I
The magnitude of the complex power is: |S| = 110 WReal power (P) = Apparent power x Power factorP = S cosθ where θ is the phase angle between the voltage and the currentP = |S| cos(15°)P = 104.7 W Reactive power (Q) = Apparent power sinθ Q = |S| sin(15°)Q = 28.3 W
b) The real power is 104.7 W and the reactive power is 28.3 W.
c) Power factor (PF) = P/S = cos(15°)PF = 0.97 Load impedance (Z) = Vrms/I = 110 V / IZ = (110∠0°)/I∠-15°Z = (110∠15°)/(6.27∠15°)Z = 17.49 + j6.6 ohms
Question 5Solution
Phase Impedance = 40 + j25.92 ohms Phase voltage Vph = Vab / √3 = 210 / √3 volts Line current IL = Iphase
Impedance Z = Vph / ILZ = 40 + j25.92 ohmsVph = Iphase ZIphase = Vph / ZZ = 40 + j25.92 ohm sIphase = (210/√3) / (40 + j25.92)Iphase = 2.58 - j1.59 amps
Therefore, the phase currents are 2.58 - j1.59 amps.
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3. Suppose that an amplifier has an input signal of vi(t) = 0.25 sin(21100t) and an output v,(t) = 12.0 – 7 sin(21100t) + 0.25 sin(21200t -30°) + 2.5 sin(21300t – 70%) + 0.5 sin(21500t - 130°). Calculate the percent total harmonic distortion of the amplifier.
The percent total harmonic distortion of the amplifier is approximately 21.9%.
To calculate the percent total harmonic distortion (THD) of an amplifier, we need to determine the ratio of the sum of all harmonics to the fundamental frequency.
In this case, the fundamental frequency is 21,100 Hz. The output signal contains several harmonic frequencies, including:
Second harmonic at 42,200 Hz with a magnitude of 0.25 and phase angle of -30 degrees
Third harmonic at 63,300 Hz with a magnitude of 2.5 and phase angle of -70 degrees
Fifth harmonic at 105,500 Hz with a magnitude of 0.5 and phase angle of -130 degrees
To calculate the THD, we first need to calculate the total harmonic distortion (THD) factor, which is defined as the root mean square (RMS) sum of all harmonic components divided by the RMS value of the fundamental frequency component.
The RMS value of the fundamental frequency component can be calculated using:
Vrms = Vp / sqrt(2)
where Vp is the peak voltage of the fundamental frequency component. In this case, the peak voltage of the fundamental frequency component is 12.0 V, so the RMS voltage is:
Vrms = 12.0 / sqrt(2) = 8.49 V
Next, we calculate the RMS sum of all harmonic components. For each harmonic, we first need to calculate its RMS voltage:
Vh_rms = Vh_p / sqrt(2)
where Vh_p is the peak voltage of the harmonic component.
For the second harmonic (42,200 Hz):
Vh_p = 0.25 V
Vh_rms = 0.25 / sqrt(2) = 0.177 V
For the third harmonic (63,300 Hz):
Vh_p = 2.5 V
Vh_rms = 2.5 / sqrt(2) = 1.77 V
For the fifth harmonic (105,500 Hz):
Vh_p = 0.5 V
Vh_rms = 0.5 / sqrt(2) = 0.354 V
Now we can calculate the RMS sum of all harmonic components as:
Vh_sum_rms = sqrt(V2_2nd_h + V2_3rd_h + V2_5th_h)
where V2_2nd_h is the square of the RMS voltage of the second harmonic component, V2_3rd_h is the square of the RMS voltage of the third harmonic component, and V2_5th_h is the square of the RMS voltage of the fifth harmonic component.
Plugging in the values, we get:
Vh_sum_rms = sqrt((0.177)^2 + (1.77)^2 + (0.354)^2) = 1.857 V
Finally, we can calculate the THD factor as:
THD_factor = Vh_sum_rms / Vrms = 1.857 / 8.49 = 0.219
The percent total harmonic distortion is then given by:
THD_percent = THD_factor x 100% = 0.219 x 100% = 21.9%
Therefore, the percent total harmonic distortion of the amplifier is approximately 21.9%.
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Draw the band diagram (the relative positions of conduction band edge Ec, valence band edge Eyand Fermi level EF) for the following cases. Clearly label (with numerical values) Ec - EF, Ep - Ey, and Eg = Ec- Ev. Ei is the intrinsic Fermi level. For this particular semiconductor, you may assume that Nc = Ny = 5.05 x 102¹ cm ³, EG = 2.0 eV, n = 105cm-³, and KT = 0.026eV. There is no external voltage applied.
a) 5 pts. Draw the band diagram for intrinsic material (without doping), and label Ep.
b) 5 pts. Draw the band diagram for this material with uniform p-type doping with N₁ = 2 x 10¹8 cm-3.
c) 10 pts. Sketch the band diagram from x-0 to x-500nm (3pts), and label the distance between EF and Ec at x-0 and x-500nm (4pts), assuming non-uniform p-type doping along x-direction (horizontally), N₁(x)= 10¹8 exp(-x/Lo) cm-3, with Lo-100nm. Then answer the question: is there net current flow (answer yes or no)? (3 pts)
(a) Intrinsic Material:
For intrinsic semiconductor, EF is in the middle of Ec and Ev.
Ec - EF = EF - Ev
= 0.5
EG = 1 eV.
Ep is the position of intrinsic Fermi level.
So, Ep = EF
(b) P-type Doping :When p-type impurity atoms are added to the crystal, extra holes are introduced in the valence band.
So, EV shifts up with respect to the EF and the amount of shift is denoted by ΔEvp.
In this case,
ΔEvp = KTln(Nv/Np)
= KTln(Nc/N₁)
= 0.26 eV,
Evp = Ev + ΔEvp
= 0.62 eV, and
Egp = Eg - ΔEvp
= 1.74 eV.
The position of EF does not change as the material is still neutral.
Ep is the position of intrinsic Fermi level.
So, Ep = EF.
(c) Non-Uniform P-type Doping:
At x = 0, N₁ = 2 x 10¹⁸ cm⁻³ and at x = 500 nm, N₁ = 2 x 10¹⁴ cm⁻³.
The intrinsic Fermi level is in the middle of Ec and Ev and will be constant throughout the material.
Therefore, it is the same at x = 0 and x = 500 nm.
Now the question arises is there net current flow or not? In this case, the concentration of holes is more at the left end as compared to the right end.
So, there will be a net flow of holes from left to right.
Therefore, the answer is YES.
There will be a net flow of current.
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final eeng signal
please i need correct answers and all parts
A pure sinusoidal signal is applied to a system, the resulting output system is as follows a) calculate the THD of the system b) if the above signal is applied to a system with impulse response \( h(t
A final eeng signal is a pure sinusoidal signal that is applied to a system. This signal generates an output system, which is then analyzed for the total harmonic distortion (THD). Additionally, if this signal is applied to a system with impulse response \(h(t)\), the output response of the system can be calculated using the convolution theorem.
a) The total harmonic distortion (THD) of a system is defined as the ratio of the sum of all harmonic components to the fundamental component. The THD is expressed as a percentage. For a pure sinusoidal signal, the THD is zero because there are no harmonics present. The THD of the system is zero.
b) When a signal is applied to a system with impulse response \(h(t)\), the output signal can be calculated using the convolution theorem. The output signal, y(t), is given by the following equation:
$$y(t)=x(t)*h(t)$$
Where * denotes convolution.
Therefore, the output signal, y(t), can be calculated by convolving the input signal, x(t), with the impulse response of the system, h(t).
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12. Most sheet metalworking operations are performed in one of the following conditions: (a) cold working (b) hot working (c) warm working 15. Which one of the following combinations of cutting conditions (where v- cutting speed, f = feed, and d= depth) does a roughing operation generally involve? (a) high v, low f and d (b) high v, f and d (c) low v, f and d (d) low v, high fand d 16. In using the orthogonal cutting model to approximate a turning operation, the chip thickness before the cut to corresponds to which one of the following cutting conditions in turning? (a) spindle speed (b) depth of cut d (c) feed f (d) cutting speed v
Sheet metalworking operations are commonly conducted under one of the following conditions:
In cold working, the metal is processed at room temperature, while in hot working, the metal is heated to a higher temperature before being processed.
When sheet metal is processed under warm working conditions, it is heated to a temperature that is lower than that required for hot working.
Because heat generated by the metal is dissipated in warm working, the temperature rise of the sheet is kept under control.
The cutting conditions in a roughing operation typically include a high cutting speed (v), a low feed rate (f), and a deep cut (d).
The high cutting speed is due to the need to remove a large amount of material quickly,
while the low feed rate is due to the fact that the roughing operation is only concerned with removing material quickly and not with producing a smooth surface finish.
Finally, the deep cut is required because a roughing operation must remove a large amount of material quickly.
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Please provide all the steps that have been given below.
J-K type negative edge flip-flops and logic gates.
using state table and K-map.
Create a counter using JK flipflop to count 6-3-1-4-5-2-0-7 by NI multisim , and also show the state table and K-map ,thanks and using the sequence that provided.
6-3-1-4-5-2-0-7
Design a binary counter that counts in a certain sequence using J-K type negative edge flip-flops and logic gates.
Record your workings that include:
Design steps of the counter e.g. state table and K-map.
Schematic diagram of the circuit.
Design steps of the counter using J-K type negative edge flip-flops and logic gates (state table and K-map). Sequential logic circuits are those circuits whose outputs rely on previous input values and present input values.
Flip-flops and counter are sequential logic circuits. JK flip-flop is a flip-flop that uses J-K inputs to control its state. It has two stable states, namely logic 1 and logic 0. The transition occurs at the negative clock edge. There are two inputs to the J-K flip-flop: J and K. When J and K are low, the flip-flop is in a latched state. When J and K are high, the flip-flop is in a reset state. When J is low and K is high, the flip-flop will set and when J is high and K is low, the flip-flop will reset. To create a counter using JK flip-flop to count 6-3-1-4-5-2-0-7 by NI multisim, we need to follow the following steps:
Step 1: State Table (K-Map) The state table is used to record the current state, next state, input, and output for each flip-flop in the circuit. We need to create a state table for our design.
Step 2: K-Map for J and K inputs The K-map is used to simplify the Boolean expression for J and K. We need to create K-Maps for J and K inputs for each flip-flop in the circuit.
Step 3: Simplify J and K expressions Using K-Maps, we can simplify the Boolean expressions for J and K inputs.
Step 4: Circuit Diagram Create a circuit diagram for the JK flip-flop counter.
Step 5: NI Multisim Simulation Perform NI Multisim simulation to validate the design of the JK flip-flop counter.
Step 6: Verification Verify the counter with the desired sequence of 6-3-1-4-5-2-0-7.
Step 7: Output Test the counter by connecting an LED to the output of each flip-flop in the circuit.
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Which of the following types of valves could flow aid in closing or opening the valve
Flow aids are mechanical devices designed to help move the product through the pipeline.
They can be applied in both gravity-fed and pumped systems,
and are used to ensure the product flows efficiently and effectively.
The flow aid is an ideal tool for use in applications with low flow,
abrasive, or sticky products.
It's also commonly used to help remove any excess product that might have accumulated in the line, which helps to improve the efficiency of the system.
The types of valves that could flow aid in closing or opening the valve are Pressure Relief Valves,
Gate Valves, Globe Valves, Diaphragm Valves, Needle Valves, Butterfly Valves, and Ball Valves.
Pressure relief valves are commonly used in the oil and gas industry to protect equipment and pipelines from overpressure.
These valves can be set to open at a specific pressure, which helps to prevent damage to the pipeline.
Gate valves are used to regulate the flow of fluids in pipelines.
They are commonly used in the oil and gas industry to control the flow of crude oil and natural gas.
Globe valves are similar to gate valves but are designed to regulate the flow of fluids more precisely.
They are commonly used in the chemical and petrochemical industries.
Diaphragm valves are used to regulate the flow of fluids in pipelines.
They are commonly used in the food and beverage industry to control the flow of liquids.
Needle valves are used to regulate the flow of fluids in pipelines.
They are commonly used in the chemical and petrochemical industries to control the flow of corrosive liquids.
Butterfly valves are used to regulate the flow of fluids in pipelines.
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Question 8: [15 points) array x of size N, and returns the sum of the array elements, and updates the reference Write a function int Sum Product (int m[], int n, int& prod); that accepts an integer (both limits included). variable prod with the product of the array elements having values between 1 and 100 You also need to write the main to test the working of the function.
Here's the implementation of the `SumProduct` function in C++ that calculates the sum and product of the array elements within a specified range, and updates the reference variable `prod` with the product value. Additionally, I've included a `main` function to test the functionality:
```cpp
#include <iostream>
int SumProduct(int m[], int n, int& prod) {
int sum = 0;
prod = 1;
for (int i = 0; i < n; i++) {
if (m[i] >= 1 && m[i] <= 100) {
sum += m[i];
prod *= m[i];
}
}
return sum;
}
int main() {
const int N = 5;
int arr[N] = {10, 5, 20, 3, 50};
int product;
int sum = SumProduct(arr, N, product);
std::cout << "Sum: " << sum << std::endl;
std::cout << "Product: " << product << std::endl;
return 0;
}
```
In this example, the `SumProduct` function takes an array `m[]` of size `n` and a reference variable `prod` as arguments. It initializes `sum` as 0 and `prod` as 1. The function iterates over the elements of the array and checks if the element is within the range of 1 to 100. If so, it adds the element to the `sum` and multiplies it with the `prod`. Finally, it returns the `sum`.
The `main` function initializes an array `arr` with some values and calls the `SumProduct` function to calculate the sum and product. The result is then printed on the console.
Note: Remember to compile and run the code to see the output.
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How technology can Assist users with disabilities? (25 pts) Mention 3 examples. (25 pts each)
Technology can play a crucial role in assisting users with disabilities by providing them with tools, devices, and software that can enhance their independence, communication, and overall quality of life.
Here are three examples of how technology can assist users with disabilities: Assistive Communication Technology:
Users with speech or communication disabilities can benefit from assistive communication technology. Augmentative and alternative communication (AAC) devices, such as speech-generating devices or communication apps, enable individuals who are non-verbal or have limited speech to express themselves effectively. These devices use text-to-speech capabilities, symbol-based communication, or eye-tracking technology to convert text or symbols into spoken words, facilitating communication and social interaction.
2. Accessibility Features in Digital Devices:
Modern digital devices, such as smartphones, tablets, and computers, come with built-in accessibility features that cater to various disabilities. For instance, screen readers provide auditory feedback to users with visual impairments, converting on-screen text and elements into spoken words. Similarly, magnification features assist individuals with low vision by enlarging text and graphics. Other accessibility features include voice control, closed captions, alternative input methods (e.g., gesture-based input or adaptive keyboards), and customizable display settings, making digital devices more accessible and usable for users with disabilities.
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Software Testing is a method to check whether the actual software product matches expected requirements and to ensure it is free from defect. It involves execution of software/system components using manual or automated tools to evaluate one or more properties of interest. The purpose of software testing is to identify errors, gaps or missing requirements in contrast to actual requirements. a) Find two (2) current journal articles (2021 and above) related to Software Testing. Provide the references of the articles using APA format with the links. [4marks] b) As a requirement engineer, your clients in ecotourism sectors are facing a big impact of the Covid-19 endemic. i. Suggest a computer-based system to help your client boost their business in this endemic phase and briefly explain the function of the system. [2 marks] ii. Based on your answer in 1 b) i., write a user story describing how the system can be used for some particular task that you need to state down (either to solve the problem or any function related to 1 b) i). [4 marks]
The system securely processes my payment, and I receive a confirmation email with the hike's details and meeting point. On the day of the hike, I arrive at the designated location, where the guide is already waiting for the group.
a) Here are two recent journal articles related to software testing:
S. Ullah, A. Hanif, and M. Ali Babar, "An Exploratory Study on the Effectiveness of Agile Testing Practices," in IEEE Access, vol. 9, pp. 10040-10050, 2021.
Link: https://ieeexplore.ieee.org/document/9391606
S. Rastogi, B. Kumar and O. P. Sangwan, "A Review of Software Testing Techniques and Tools," in Lecture Notes in Networks and Systems, vol. 180, pp. 19-31, 2021.
Link: https://link.springer.com/chapter/10.1007/978-981-15-8760-5_2
b) A computer-based system that can help ecotourism clients boost their business during the Covid-19 endemic phase is a virtual tour platform. The system would allow customers to take virtual tours of tourist spots and nature reserves, providing them with an immersive experience of the location without actually being there. The virtual tour platform can be accessed through a web or mobile application.
i. The virtual tour platform allows ecotourism clients to showcase their tourist spots and nature reserves to potential customers in a safe and engaging way. The system works by creating a 3D virtual environment of the location, which customers can explore using their devices. Customers can take a virtual tour of the location, view images and videos, read descriptions and even interact with the environment in some cases.
ii. As a user, I want to take a virtual tour of a nature reserve so that I can experience the location before deciding to book a physical visit. Using the virtual tour platform, I can select the nature reserve I am interested in and take a 360-degree virtual tour of the location. In the virtual tour, I can see the different ecosystems and wildlife present in the reserve, read descriptions about them, and even interact with some elements of the environment. By taking a virtual tour, I can make an informed decision about whether to visit the nature reserve physically or not during the Covid-19 endemic.
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