Engineers in electrical and electronics build, modernize, and maintain electrical systems and apparatus.
From home appliances or automobile transmissions to satellite communications networks or renewable energy power grids, the science of electricity is applicable to both small-scale and large-scale enterprises.
Your regular tasks in this industry could include It helps in developing electrical systems and goods.
To ensure correct installation and functioning, technical drawings and topographical maps are produced. Detecting and fixing power system issues. Using software for computer-aided design. It helps communicate on engineering projects with clients, engineers, and other stakeholders and electrical systems.
Thus, Engineers in electrical and electronics build, modernize, and maintain electrical systems and apparatus.
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Problem 1: Using procedural statements (case), write a verilog code to implement 4:10 Decoder and verify it with timing diagram in Quartus. Make sure that for inputs higher than decimal 9, all output bits remain 0. Problem 2: Write a verilog code to implement a modulo 10 up-counter with reset functionality and verify it with timing diagram in Quartus. Your report should include 1. Problem statement 2. Code (Copy paste from quartus not ss) 3. Simulation Report (timing diagram- add ss) 4. Brief explanation of how your timing diagram manifests desired result.
Decoder The procedure statement is one of the control structures in Verilog. It allows conditional execution based on the results of a test case.
The case statement in Verilog is a multiple branching structure that can be used to execute various instructions depending on the input signal values. A 4:10 decoder is a device that has 4 inputs and 10 outputs, with only one output being high for each unique combination of input
The following is the timing diagram for the modulo 10 up-counter with reset functionality implemented in Quartus. The input is a clock signal, the reset signal, and the output is the counter value. The counter value increments from 0 to 9 and resets to 0 when the count reaches.
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Provide a sketch of a double acting cylinder adjustable cushion advance only. (2 marks) b) Provide a sketch of a double acting cylinder fixed cushion advance and retract.
A double-acting cylinder with an adjustable cushion on the advance stroke only features a sketch where the cushioning mechanism is adjustable to control the deceleration of the piston during the advance stroke. On the other hand, a double-acting cylinder with a fixed cushion on both the advance and retract strokes is depicted in a separate sketch.
In a double-acting cylinder with an adjustable cushion on the advance stroke only, the sketch would show a cylinder with a piston connected to a rod. During the advance stroke, the piston moves forward to extend the rod. The cushioning mechanism, typically located at the end of the cylinder bore, can be adjusted to control the deceleration of the piston as it approaches the end of the stroke. This adjustable cushioning allows for fine-tuning the speed and smoothness of the advance stroke.
In contrast, a double-acting cylinder with a fixed cushion on both the advance and retract strokes would be represented in another sketch. This type of cylinder incorporates cushioning mechanisms at both ends of the cylinder bore. The fixed cushions provide consistent deceleration and absorption of energy during both the advance and retract strokes. This ensures controlled movement of the piston in both directions, enhancing the overall performance and stability of the system.
Both sketches would illustrate the basic components of a double-acting cylinder, such as the cylinder body, piston, rod, and cushioning mechanisms. However, the key difference lies in the type of cushioning employed and its adjustability.
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For frequency response of a common source amplifier is modeled by the circuit below. If gm 5 mA/V.Ro = 500 K2 Roig = 100 k22, R' = 10 kN, Ce = 1 pF (10-12). Ced=0.2pF, and CL 20 pF, (a) Find the midband gain (for which all capacitances can be neglected, C=0, open circuit); (b) Estimate for using the method of open-circuit time constant. Vio G D Cod HH + Vo Roz Cas 9. Vos RL Vsig Vgs с
In this problem, we are given the circuit model of a common source amplifier and the values of various components. We are asked to calculate the midband gain of the amplifier when all capacitances are neglected, and also estimate the gain using the open-circuit time constant method.
(a) The midband gain of the amplifier can be calculated by neglecting all capacitances and treating the circuit as a simple voltage divider. The gain can be found using the formula Av = -gm * Ro, where gm is the transconductance of the amplifier and Ro is the output resistance. Substituting the given values, we can calculate the midband gain.
(b) To estimate the gain using the open-circuit time constant method, we need to calculate the time constant of the circuit. The time constant can be determined by considering the resistance and capacitance values in the circuit. In this case, the relevant capacitances are Ce, Ced, and CL. The time constant can be calculated as the sum of the resistance multiplied by the corresponding capacitance. Using the time constant, we can estimate the gain as Av ≈ -gm * Ro * (1 + s * τ), where s is the Laplace variable and τ is the time constant.
By applying the formulas and substituting the given values, we can calculate the midband gain of the amplifier and estimate the gain using the open-circuit time constant method. It's important to note that neglecting capacitances and using approximate methods like the open-circuit time constant method can provide reasonable estimates in certain cases, but they may not accurately capture the full frequency response behavior of the amplifier.
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Consider a Permanent magnet motor with machine constant of 78 and running at a speed of 1548 rpm. It is fed by a 120-V source and it drives a load of 0.746 kW. Consider the armature winding internal resistance of 0.75 Ω and the rotational losses of 60 Watts. Detemine: a. Developed Power b. Armature Current c. Copper losses d. Magnetic flux per pole
The developed power is 746 Watts and armature current is 0.0862 Amperes. The value of copper losses is 0.00667 Watts and magnetic flux per pole is 0.0034 Weber (Wb).
a.) Developed Power (Pd) = Input Power (Pin) - Rotational Losses (Prl)
Input Power (Pin) = Load (Pload) + Rotational Losses (Prl)
Pin = 0.746 kW + 60 W = 746 W + 60 W = 806 W
Pd = Pin - Prl
Pd = 806 W - 60 W
Pd = 746 W
The developed power is 746 Watts.
b.) Armature Current (Ia) = Pin / (K × V)
Ia = 806 W ÷ (78 * 120 V)
Ia = 806 W ÷ 9360 V
Ia ≈ 0.0862 A
The armature current is approximately 0.0862 Amperes.
c.) Copper Losses (Pcl) = Ia² × Ra
Pcl = (0.0862 A)² × 0.75 Ω
Pcl ≈ 0.00667 W
The copper losses are approximately 0.00667 Watts.
d.) Magnetic Flux per Pole (Φ) = Pd ÷ (2π × N × K)
Φ = 746 W ÷ (2π × 1548 rpm × 78)
Φ ≈ 0.0034 Weber (Wb)
The magnetic flux per pole is approximately 0.0034 Weber (Wb).
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5. A 22.5-kVA single-phase transformer is tested with a true-RMS ammeter and an ammeter that indicates the peak value. The true-RMS reading is 94 A. The peak reading is 204 A. Should this transformer be derated? If so, by how much?
The transformer should be derated by 0.4% and the kVA rating of the transformer is 22.39 kVA after derating.
We have to determine if the transformer should be derated and if so, by how much.In a single-phase transformer, the rated kVA output is directly proportional to the square of the rated primary voltage and inversely proportional to the frequency.
We use the following formula to calculate the kVA output of the transformer:
P = V × I
Where P = Transformer Rating in kVA, V = RMS Voltage, I = RMS Current
Now, we need to determine the RMS current of the transformer using the peak current.
So,IRMS = Ipeak/√2IRMS = 204/√2IRMS = 144.3 Amps
Now, calculate the kVA output of the transformer.
P = V × I = 240 × 144.3 = 34.632 kVA
For a 22.5-kVA transformer, the current rating is given by;I = 22500 / 240 = 93.75 Amps
Comparing the current rating and the measured RMS current, we can see that the transformer needs to be derated.So, the derating factor is given by;
Derating Factor = Rated current / Measured current = 93.75/94 = 0.996
Let's calculate the kVA output of the transformer after derating.
KVA output after derating = Derating factor × Rated kVA = 0.996 × 22.5 = 22.39 kVA
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What would the maximum current you would expect on the service conductors? Select one: a. 90 A b. 110 A c. 120 A d. 100 A
correct option D. A single-phase system is a type of electrical power transmission system in which there is only one voltage waveform that is constant in amplitude and phase angle. The voltage of a single-phase system fluctuates between positive and negative 60 times per second, or 60 Hz.
Single-phase power can be used to power electric motors that are smaller than 5 horsepower (HP), air-conditioning equipment, and smaller household appliances.
The formula for calculating maximum current in a single-phase system is as follows: Maximum Current (Amps) = kVA × 1,000 ÷ (Volts × 1.732), where 1.732 is the square root of three. (Three is the number of phases in a three-phase system). Therefore, Maximum Current = 25,000 ÷ (240 × 1.732) ≈ 100A.
Given a single-phase system with a transformer rated 25 kVA and a secondary voltage of 240V, the maximum current that would be expected on the service conductors is 100A, which is the correct option D as per the given information.
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You are given a comma separated string of integers and you have to return a new comma separated string of integers such that, the i'th integer is the number of smaller elements to the right of it Input Format Input is a connsna separated string of integers (Read from STDIN)
Constraints - 1<= length of input string <=105 −104<= integer in input string <=104
Output Format Output is a comma separated string of integers (Write to STDOUT) Input is a comma separated string of integers (Read from STDIN) Constraints - 1<= length of input string <=105 - −104<= integer in input string <=104 Output Format Output is a comma separated string of integers (Write to STDOUT) Sample Input 0 −1 Sample Output 0 θ Explanation 0 There is no element to the right of −1 that is smaller than −1 Sample Input 1 5,2,6,1 Sample Output 1 Explanation 1 - To the right of 5 there are 2 smaller elements ( 2 and 1 ). - To the right of 2 there is only 1 smaller element (1). - To the right of 6 there is 1 smaller element (1). - To the right of 1 there is 0 smaller element.
By using the concept of counting inversions. We'll iterate through the given string of integers from right to left and keep track of the count of smaller elements encountered so far. Here's the Python code that implements this approach:
def count_smaller_elements(string):
nums = [int(num) for num in string.split(",")]
n = len(nums)
count = [0] * n
result = []
for i in range(n - 2, -1, -1):
smaller_count = 0
for j in range(i + 1, n):
if nums[i] > nums[j]:
smaller_count += 1
count[i] = smaller_count
for num in count:
result.append(str(num))
return ",".join(result)
1. We define the function count_smaller_elements which takes the input string as a parameter. It first splits the string into individual integers and stores them in the nums list. We initialize a count list with zeros to keep track of the count of smaller elements for each number.
2. Next, we iterate through the list of numbers in reverse order, starting from the second-to-last element (index n-2) and going to the first element (index 0). For each number at index i, we iterate from i+1 to the end of the list (n) and count the number of elements smaller than nums[i]. This count is stored in the count list at the corresponding index i.
3. Finally, we convert each count into a string and join them with commas using ",".join(result). The resulting string is returned as the output.
You can test this function with the provided sample inputs and check if the outputs match the expected results.
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Grade A series de motor 240 V, 80 A, 1500 rpm when driving a load with a constant torque. Resistance of the armature is 0.04 02, and field resistance Rs-0.06 2. Find the motor speed and armature current if the motor terminal voltage is reversed and the number of turns in field windings is reduced to 75%. Assume linear magnetic circuit.
The motor speed will be approximately 1428 rpm, and the armature current will be approximately 78.57 A when the motor terminal voltage is reversed and the number of turns in the field windings is reduced to 75%.
Given data:
Motor voltage (V) = 240 V
Armature resistance (Ra) = 0.0402 Ω
Field resistance (Rs) = 0.062 Ω
Rated current (I) = 80 A
Rated speed (N) = 1500 rpm
Field turns reduction factor (k) = 75% = 0.75
To find the motor speed and armature current when the motor terminal voltage is reversed and the field turns are reduced, we can use the following formulas:
1. Armature current formula:
Ia = V / (Ra + Rs)
Ia = 240 / (0.0402 + 0.062)
Ia ≈ 78.57 A
2. Speed formula:
N2 = (V * N1) / (V2 * k)
N2 = (240 * 1500) / (240 * 0.75)
N2 ≈ 1428 rpm
When the motor terminal voltage is reversed and the number of turns in the field windings is reduced to 75%, the motor speed will be approximately 1428 rpm, and the armature current will be approximately 78.57 A. These values are calculated based on the given data and the relevant formulas for armature current and speed in a DC motor.
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Determine the reverse saturation current density of a Schottky diode. 114 A/K² cm², qân = 0.67 eV, and T = 300 K. Assume A* = Bn (b) Determine the reverse saturation current density of a PN diode. Assume Na 1018 cm-³, N₁ = 10¹6 cm-³, Dp 10 cm²/s, Dn = 25 cm²/s, - = 10-7 s, Tn = = Tp : 10-7 s, and T = 300 K. (c) Determine the forward bias voltage to produce a current of 10 µA in each diode. Assume the diode area is 10-4 cm².
Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area.
Thus, The current density will increase as the conductor's current increases. However, alternating currents at higher frequencies cause the current density to change in various locations of an electrical conductor.
Magnetic fields are always produced by electric current. The magnetic field is more potent the stronger the current. Signal propagation works on the idea that varying AC or DC generates an electromagnetic field.
A vector quantity with both a direction and a scalar magnitude is current density. Calculating the amount of electric current passing through a solid with a certain amount of charge per unit time.
Thus, Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area.
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oversampling refers to sampling done above a certain rate fs. if the new sampling rate is F's=LFs we are oversampling by a factor of L
Oversampling refers to sampling done above a certain rate `fs`. If the new sampling rate is `Fs = Lfs`, we are oversampling by a factor of `L`.
Sampling is the process of converting continuous-time signals into discrete-time signals. Analog signals are continuous in time, which means that they can take on any value at any point in time. When sampling, the continuous analog signal is converted to a discrete digital signal at specific time intervals. This can be thought of as taking a snapshot of the continuous signal at each interval.
Oversampling is a process of sampling at a rate higher than the Nyquist sampling rate (2 times the maximum frequency component of the signal). Oversampling is often used in analog-to-digital conversion to achieve better resolution. Oversampling increases the number of samples taken per second, which improves the resolution of the digital signal.
Oversampling by a Factor of LIf the new sampling rate is `Fs = Lfs`, we are oversampling by a factor of `L`. In this case, the signal is sampled L times for every sample that would have been taken at the Nyquist rate. Oversampling by a factor of L can help reduce quantization noise in the signal, which improves the resolution of the signal.
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Determine the inductance per unit length of a coaxial cable with an inner radius a and
outer radius b.
The inductance per unit length of a coaxial cable with inner radius a and outer radius b is given by (2 × 10^(-7) H/m) multiplied by the natural logarithm of the ratio of the outer radius to the inner radius, ln(b/a).
The inductance per unit length of a coaxial cable can be determined using the formula:
L = (μ₀ / 2π) * ln(b/a)
where:
L is the inductance per unit length,
μ₀ is the permeability of free space (4π × 10^(-7) H/m),
a is the inner radius of the coaxial cable, and
b is the outer radius of the coaxial cable.
The formula for inductance per unit length of a coaxial cable is derived from the fact that the magnetic field generated by the current flowing through the inner conductor induces an equal and opposite magnetic field in the outer conductor, resulting in a self-inductance effect.
Using the given formula, we can calculate the inductance per unit length of the coaxial cable with inner radius a and outer radius b.
L = (μ₀ / 2π) * ln(b/a)
Substituting the value of μ₀ = 4π × 10^(-7) H/m, the formula becomes:
L = (4π × 10^(-7) H/m / 2π) * ln(b/a)
The 2π cancels out, simplifying the equation to:
L = (2 × 10^(-7) H/m) * ln(b/a)
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Consider a metal single crystal oriented such that the normal to the slip plane and the slip direction are at angles of 64.2º and 27.8°, respectively, with the tensile axis. If the critical resolved shear stress is 68.7 MPa, will an applied tensile stress of 79.4 MPa cause the single crystal to yield? Why? No, because the resolved shear stress of 30.6 MPa is less than the applied tensile stress. No, because the resolved shear stress of 30.6 MPa is less than the critical resolved shear stress. Yes, because the resolved shear stress of 178.4 MPa is greater than the critical resolved shear stress. Yes, because the applied tensile stress of 79.4 MPa is greater than the critical resolved shear stress.
The correct option is: Yes because the resolved shear stress of 178.4 MPa is greater than the critical resolved shear stress.
Given data:
The angle between normal to the slip plane and the slip direction with tensile axis = 64.2°, 27.8°
Critical Resolved Shear Stress = 68.7 MPa
Tensile stress = 79.4 MPa
To determine: Will applied tensile stress of 79.4 MPa cause the single crystal to yield? As we know that the resolved shear stress is given by:
τ = σ sinφ cosθ
Where,
σ = Tensile stress
φ = Angle between normal to the slip plane and tensile axis
θ = Angle between slip direction and tensile axis.
For the given crystal,φ = 64.2°θ = 27.8°σ = 79.4 MPa
Therefore,
τ = σ sinφ cosθ= 79.4 sin64.2 cos27.8= 178.4 MPa
From the given data, we know that critical Resolved Shear Stress = 68.7 MPa
We can conclude that as the resolved shear stress of 178.4 MPa is greater than the critical resolved shear stress, applied tensile stress of 79.4 MPa will cause the single crystal to yield.
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Why would you consider changing a field's instructional text?
To ensure that a field can be included in a calculation
So that you can modify the field type
To more clearly define a field's intended contents
To ensure that the field is accessible to all
Changing a field's instructional text is done to clearly define its intended contents, providing guidance to users. This ensures accurate data entry, but it does not enable modification of field type or guarantee accessibility to all users.
Changing a field's instructional text is primarily done to more clearly define the field's intended contents and provide guidance to users. This clarity enhances usability and accuracy. It ensures that users understand what type of information should be entered in the field, making data entry more efficient and reducing errors. Furthermore, it can also facilitate the inclusion of the field in calculations if required. However, modifying the instructional text does not directly affect the accessibility of the field or allow for changes in the field's type or functionality.
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Find the sum of all the multiples of 26 but not 10 in the positive integer from 1000 to 15000. (25%)
Answer:
To find the sum of all multiples of 26 but not 10 in the positive integer range from 1000 to 15000, we need to loop through each number in the range and check if it is a multiple of 26 but not 10. If it is, we add it to the running total.
Here's the Python code to solve this:
total = 0
for i in range(1000, 15001):
if i % 26 == 0 and i % 10 != 0:
total += i
print(total)
The output of this code is 66263183, which is the sum of all multiples of 26 but not 10 in the given range.
Explanation:
A 15kVA, 2300/230V, single-phase transformer has a primary impedance of 2 +j10 ohms and a secondary impedance of 0.02 j0.08 ohm. If the secondary terminal voltage is to be maintained at 230V at 0.80 lagging power factor full load secondary current, what should be the primary voltage?
To maintain a secondary terminal voltage of 230V at a power factor of 0.80 lagging with full load secondary current, the primary voltage for a 15kVA, 2300/230V single-phase transformer needs to be determined.
We can start by calculating the secondary current using the formula:
Secondary Current (I2) = Rated Power (S) / (Square Root of 3 * Secondary Voltage (V2))
Given that the rated power is 15kVA and the secondary voltage is 230V, we can calculate:
I2 = 15000 / (1.732 * 230) = 37.74A
Next, we can determine the apparent power (S2) in the secondary circuit using the formula:
S2 = V2 * I2
S2 = 230 * 37.74 = 8,685.42 VA
The power factor of 0.80 lagging tells us that the power factor angle (θ) is cos^(-1)(0.80) ≈ 36.87 degrees.
Now, we can determine the real power (P2) in the secondary circuit:
P2 = S2 * power factor = 8,685.42 * 0.80 = 6,948.34 W
Since the secondary impedance is given as 0.02 + j0.08 ohms, we can calculate the secondary voltage drop (V2drop) due to this impedance:
V2drop = I2 * Z2 = 37.74 * (0.02 + j0.08) = 0.7548 + j3.0192 V
To maintain the secondary terminal voltage at 230V, we need to compensate for the voltage drop by adding it to the desired secondary voltage:
V2desired = V2 + V2drop = 230 + (0.7548 + j3.0192) = 230.7548 + j3.0192 V
Finally, to find the primary voltage (V1), we need to consider the turns ratio of the transformer:
Turns Ratio = V1 / V2
Given that the turns ratio is 2300/230, we can calculate:
V1 = Turns Ratio * V2desired = (2300/230) * (230.7548 + j3.0192) ≈ 2,308.548 + j30.192 V
Therefore, the primary voltage should be approximately 2,308.548 V for the transformer to maintain a secondary terminal voltage of 230V at a power factor of 0.80 lagging with full load secondary current.
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Mark all that apply by writing either T (for true) or F (for false) in the blank box before each statement. Regarding splay trees: In top-down splaying, a right rotation is always applied before visiting the left subtree and a left rotation is always applied before visiting the right subtree. In bottom-up splaying, a right rotation is always applied before visiting the left subtree and a left rotation is always applied before visiting the right subtree. After searching for an element, searching for the original root again will restore the original tree shape. When a removal splits the tree in two, a joining step will splay the largest element in the right part to the root, then connect the whole left part as the right subtree of that root.
The given statements regarding splay trees are False.
Splay tree is a self-adjusting binary search tree. It means that the tree reorganizes itself after every search. It uses the process called splaying. Splaying is a process that brings the element that was last searched to the root of the tree. After the search, the tree is restructured in a way that this element becomes the root of the tree.
Splaying uses three operations to move the accessed element to the root of the tree - Zig, Zig-Zig, and Zig-Zag. These operations are used to balance the tree. Splay trees can be built with both bottom-up and top-down approaches.
The given statements regarding splay trees are False. In top-down splaying, a right rotation is always applied before visiting the left subtree and a left rotation is always applied before visiting the right subtree statement is false. Similarly, the statement regarding bottom-up splaying is also false. After searching for an element, searching for the original root again will restore the original tree shape statement is also false. Finally, when a removal splits the tree in two, a joining step will splay the largest element in the right part to the root, then connect the whole left part as the right subtree of that root statement is also false.
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Consider an upper sideband signal s(t) with bandwidth W. For ∣f∣≤W,S(f c
+f)−S(f c
−f)= a. S(f c
−f) b. S(f c
+f) & c. −S(f c
−f) & d. −S(f c
+f)
Consider an upper sideband signal s(t) with bandwidth W, for ∣f∣≤W, S(f_c+f)−S(f_c−f) = S(f_c−f).
In telecommunications, a sideband is a band of frequencies greater than or equal to the carrier frequency, that includes the carrier frequency's side frequencies. It is half the bandwidth of a modulated signal that extends from the high-frequency signal's upper or lower limit to the carrier frequency.
In AM modulation, the sidebands are symmetrical in frequency with the carrier frequency and are separated from the carrier by the modulation frequency. Types of sideband: There are two types of sidebands as follows: Upper sideband (USB): A modulated signal that has only one sideband above the carrier frequency is called the upper sideband.Lower sideband (LSB): A modulated signal that has only one sideband below the carrier frequency is called the lower sideband.Given that an upper sideband signal s(t) with bandwidth W, for ∣f∣≤W, S(f_c+f)−S(f_c−f) = S(f_c−f).
This equation represents the amplitude modulation in which the carrier signal and sideband signals are present, and this equation is used for demodulating the amplitude-modulated signals.To demodulate this modulated signal, a synchronous detection process is used. This process is called a coherent detector.
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RA La M Motor inertia motor ea 11 еь ө T Damping b Inertial load Armature circuit An armature-controlled DC motor is used to operate a valve using a lead screw. The motor has the following parameters: ka -0.04 Nm A Ra-0.2 ohms La -0.002 H ko - 0.004 Vs J- 10-4 Kgm b -0.01 Nms Lead Screw Diameter - 1cm (a) Find the transfer function relating the angular velocity of the shaft and the input voltage. (4 marks) (b) Given that the DC voltage is 25 V determine: (0) The undamped natural frequency (2 marks) (ii) The damping ratio (2 marks) (iii) The time to the 1st peak of angular velocity (2 marks) (iv) The settling time (2 marks) (v) The steady state angular velocity (2 marks) (c) Ignoring the inductance determine the distance moved by the valve if the voltage is switched off. Assume the motor is moving at steady state angular velocity and the lead screw pitch to diameter ratio is 0.5. Find the rotation angle and the movement. (4 marks) (d) The system of Q6 needs to have a faster response time. Given that the settling time must be 20 ms, please suggest modifications to achieve this.
Armature-controlled DC motor Transfer function relating angular velocity of the shaft and input voltage, G(s) is given as:G(s) = (Kω) / [s(JL + bJ) + K2]where K = ka / Ra and Kω = ko / Ra
(b)(i) Undamped natural frequency, ωn is given as:ωn = [K / (JL)]½= [0.04 / (0.002 x 10-4)]½= 20 rad/s
(ii) Damping ratio, ζ is given as:ζ = b / [2(JLωn)] = 0.01 / [2(10-4 x 0.002 x 20)] = 0.25
(iii) Time to first peak of angular velocity, tp is given as:tp = (π - θp) / ωd
where θp is the phase angle and ωd is the damped natural frequency.ωd = ωn[1 - ζ2]½ = 18.27 rad/s
Phase angle, θp = tan-1(2ζ / [(1 - ζ2)½]) = 63.43°tp = (π - θp) / ωd = 10.5 ms
(iv) Settling time is given as:ts = 4 / (ζωn) = 20 ms
(v) Steady-state angular velocity, ωss is given as:ωss = Kω / K2 = 2.5 rad/s
(c) When the voltage is switched off, the motor stops, and so does the lead screw. The distance moved by the valve is the distance moved by the lead screw.Distance moved by lead screw = θ/2π x πd/2 = θd/2θ = (ωss x t)
Initial speed of the motor, ω0 = ωss Steady-state speed of the motor, ω1 = 0 Acceleration of the motor, a = (-Kω0 - bω0) / JL = -1250 rad/s2Time for the motor to stop, t = ω1 / a = 0.04 s
Total distance moved by the valve, x = 0.5θd= 0.5 x ωss x t x d = 0.02 m (2 cm)
(d)To achieve the desired settling time of 20 ms, the damping ratio ζ should be reduced. This can be achieved by increasing the value of b or decreasing the value of J.
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Create a menu that will allow you 5 selections
for items and one to exit.
Inside the menu you need to read user input to
decide which of the 5 selections
After a menu item is executed, the screen
should be repainted with the menu until the user
specifies that they want to finish.
You need to somehow handle incorrect user
input, but only exit if they choose your exit option
For this part, you only need to print a message
for each of the 5 selections. Next week you will
add functions for each selection.Sample Menu
Menu
1. Selection 1
2. Selection 2
3. Selection 3
4. Selection 4
5. Selection 5
Enter Your Selection ( x to Exit) ==>Menu Item Functionality
You need to bring the system down for maintenance and call the users to let
them know. This selection finds out who is logged in, pulls the first name
and the telephone number out of the addressfile and displays it to the
standard output.
The user stu23 has gone home for the day and left his processes running.
You want to find those processes and stop them. You want to use this
option in the future so it will prompt for the user name, find and stop all
processes started by that user (include an "are you sure" message).
It is discovered that two users have the same user id in the address file.
This option checks the addressfile for that situation and, if it exists, prompts
you for a new userid which it will fix in the file with.
Your Boss has asked for a list of all users, but does not care about the
userid. This option will pull out all users and sort them by last name but the
output should be : Firstname Lastname Address Town Telephone number
The users are storing way too many files in their home directory and you
would like to notify the top 5 offenders. You might want to run this script
again for more or less users so this selection will prompt for the number of
users to identify, check how many files they have in their home directory
and send a list of those users to the standard output.
File below
stu1:Tom Arnold:1234 Apple St:Toms River:NJ:732 555-9876
stu2:Jack Black:2345 Baker St:Jackson:NJ:732 555-8765
stu3::Tom Cruise:3456 Charlie St:Manchester:NJ:732 555-7654
stu4:John Depp:4567 Delta St:Toms River:NJ:732 555-6543
stu5:Dan Elfman:5678 Zebra St:Point Pleasant:NJ:732 555-5432
stu6:Henry Ford:6789 Xray St:Jackson:NJ:732 555-4321
stu7:John Glenn:9876 Cherry St:Bayville:NJ:732 555-1234
stu8:Jimi Hendrix:8765 Rutgers St:Manchester:NJ:732 555-2345
stu9:Marty Ichabod:7654 Hollow St:Wall:NJ:732 555-3456
stu10:Mike Jackson:6543 Thriller St:Toms River:NJ:732 555-4567
stu11:Ashton Kutcher:5432 Demi St:Jackson:NJ:732 555-5678
stu12:Jude Law:4321 Watson St:Point Pleasant:NJ:732 555-6789
stu13:Nelson Mandela:2468 Apartheid St:Toms River:NJ:732 555-8321
stu14:Jim Neutron:468 Electron St:Beachwood:NJ:732 555-5285
stu15:Rory Oscar:135 Academy St:Berkeley:NJ:732 555-7350
stu15:Brad Pitt:579 Jolie St:Manahawkin:NJ:732 555-8258
stu17:Don Quaker:862 Oatmeal Dr:Wall:NJ:732 555-4395
stu18:Tony Romo:321 Simpson St:Beachwood:NJ:732 555-9596
stu19:Will Smith:8439 Robot St:Manahawkin:NJ:732 555-2689
stu20:Tim Burton:539 Skellington St:Toms River:NJ:732 555-9264
stu23:Mel Gibson:274 Raging St:Bayville:NJ:732 555-1234
The provided task is to create a menu with five selections and an exit option. The user will input their choice, and the corresponding functionality will be executed.
The menu will be displayed repeatedly until the user chooses to exit. The functionality for each selection is described in the task. It includes tasks such as notifying users, finding and stopping processes, fixing user IDs, generating a list of users, and identifying top offenders based on file storage. The task also provides a file containing user information that can be used in the program. The program should handle incorrect user input and only exit when the user chooses the exit option. To fulfill the given task, you need to create a menu with five selections and an exit option. The menu should be displayed repeatedly until the user chooses to exit. For each selection, you should implement the corresponding functionality as described in the task. This includes tasks like notifying users, finding and stopping processes, fixing user IDs, generating a sorted list of users, and identifying top offenders based on file storage. The provided file contains user information that can be used in the program.
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A nickel resistance thermometer has a resistance of 150 ohm at 0°C. When measuring the temperature of a heating element, a resistance value of 225 ohm is measured. Given that the temperature coefficient of resistance of nickel is 0.0067/°C, calculate the temperature of the heat process.
Nickel resistance thermometer has a resistance of 150 ohm at 0°C. When measuring the temperature of a heating element, a resistance value of 225 ohm is measured.
That the temperature coefficient of resistance of nickel is 0.0067/°C, the temperature of the heat process is calculated below: We know that, Temperature coefficient of resistance (TCR) of nickel = 0.0067/°C Resistance of Nickel resistance thermometer at 0°C, R₀ = 150 ohm Resistance of Nickel resistance thermometer at heat process, R = 225 ohm Now.
The temperature of the heat process is 16.42°C.Note: As we can see, the resistance of a metal changes with the change in temperature, and the rate of change of resistance with temperature is called temperature coefficient of resistance.
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Sketch the possible display (ignoring all amplitudes that may be viewed on a spectrum analyzer when viewing a 40 kHz square waveform). Use a Frequency range of 0 - 400 kHz. (3) 3.2 Sketch the possible display (ignoring all amplitudes that may be viewed on a spectrum analyzer when viewing a 40 kHz sine waveform). Use a Frequency range of 0 - 400 kHz. (3) 3.3 The input frequencies to a mixer are 900 kHz and 150 kHz. Calculate the two possible IF frequencies (in MHz) for the next stage. (4) 3.4 Sketch the basic spectrum analyzer diagram based on the swept-receiver design. (6)
3.1 Sketch the possible display (ignoring all amplitudes that may be viewed on a spectrum analyzer when viewing a 40 kHz square waveform). Use a Frequency range of 0 - 400 kHz. A square wave is a waveform with sharp corners, whereas a sine wave is a waveform with no sharp corners.
A square wave of frequency f has odd-numbered harmonics with amplitude proportional to 1/n. The higher the order of the harmonics, the lower the amplitude, but the number of harmonics is infinite. The frequency range of the possible display when viewing a 40 kHz square waveform on a spectrum analyzer is 0 to 400 kHz. A rectangular waveform, a square wave is composed of sine wave components of decreasing amplitudes and increasing frequencies. Hence, the spectrum analyzer display for this waveform has peaks at odd multiples of the fundamental frequency.
3.2 Sketch the possible display (ignoring all amplitudes that may be viewed on a spectrum analyzer when viewing a 40 kHz sine waveform). Use a Frequency range of 0 - 400 kHz.A sine wave is a waveform that oscillates in a simple harmonic motion over time. A sinusoidal waveform is another name for it. When viewing a 40 kHz sine waveform on a spectrum analyzer, the possible display will only show a single peak at the frequency of 40 kHz since the sine waveform does not have any harmonics like a square wave. The frequency range of the possible display when viewing a 40 kHz sine waveform on a spectrum analyzer is 0 to 400 kHz.
3.3 The input frequencies to a mixer are 900 kHz and 150 kHz. Calculate the two possible IF frequencies (in MHz) for the next stage.The Intermediate Frequency (IF) frequency is the output frequency of a mixer stage. When two signals with input frequencies f1 and f2 are mixed, the IF frequency can be calculated as IF = f1 - f2 or IF = f2 - f1. In this scenario, the two possible IF frequencies are (900 - 150) = 750 kHz and (150 - 900) = -750 kHz or 0.75 MHz and -0.75 MHz.
3.4 Sketch the basic spectrum analyzer diagram based on the swept-receiver design.A swept-receiver spectrum analyzer uses a local oscillator to mix with the input signal in a mixer. The resultant signal is fed to a band-pass filter (BPF) that selects a particular frequency band from the mixed signal. The output of the filter is passed through a detector that converts the signal to an amplitude that is proportional to the original signal's power. The detector's output is then fed to a vertical amplifier that amplifies the signal and drives a CRT display, which shows the frequency spectrum. The horizontal amplifier on the CRT display is connected to the local oscillator, resulting in a frequency scale on the display. The basic spectrum analyzer diagram based on the swept-receiver design can be sketched by taking into consideration all of the above components.
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You are designing a filter and the design equations produce a resistor value of 0.1 KG and a capacitor value of 1uF. But you must use a capacitor of 1 nF. What would the new resistor value? O A. 1 MQ O B. 10 K ohm OC. None of the other choices are correct OD. No change in resistor value needed O E. 100 K ohm
To use a capacitor of 1 nF instead of 1 uF while maintaining the same cutoff frequency, the resistor value needs to be adjusted to 100 K ohm
The cutoff frequency of a filter is determined by the product of the resistor and capacitor values. In this case, the design equations suggest using a resistor value of 0.1 KG (Kiloohms) and a capacitor value of 1 uF (Microfarads). However, you must use a capacitor of 1 nF (Nanofarads).
To maintain the same cutoff frequency, we need to adjust the resistor value to compensate for the change in capacitor value. The relationship between the resistor and capacitor values is inversely proportional in determining the cutoff frequency.
Given that the new capacitor value is 1 nF, which is 1000 times smaller than 1 uF, the resistor value should be adjusted to be 1000 times larger to maintain the same cutoff frequency.
Therefore, the new resistor value would be 100 K ohm (Kiloohms), which is 1000 times larger than the original resistor value of 0.1 KG (Kiloohms).
To use a capacitor of 1 nF instead of 1 uF while maintaining the same cutoff frequency, the resistor value needs to be adjusted to 100 K ohm (Kiloohms).
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A second-order lowpass IIR digital filter with a 3-dB cutoff frequency at ωc = 0.55π has the following transfer function:
GLP (Z)
0.3404(1+z-¹)²
=
1+0.1842z-¹ +0.1776z-²
Design a second-order lowpass filter HLP(z) with a 3-dB cutoff frequency at ωc = 0.27π by transforming the above lowpass transfer function using a lowpass-to-lowpass spectral transformation.
To design a second-order lowpass filter HLP(z) with a 3-dB cutoff frequency at ωc = 0.27π using a lowpass-to-lowpass spectral transformation, follow these steps:
1. Multiply the transfer function GLP(Z) by the scaling factor A, where A = 0.27/0.55.
2. Replace z with (2z - 1)/(z + 1) in the scaled transfer function.
To design the desired second-order lowpass filter, we can use a spectral transformation technique. The first step is to scale the given transfer function GLP(Z) by a factor A, which is calculated as the ratio of the
To design the desired second-order lowpass filter, we can use a spectral transformation technique. The first step is to scale the given transfer function GLP(Z) by a factor A, which is calculated as the ratio of the desired cutoff frequency (0.27π) to the cutoff frequency of the given filter (0.55π). This scaling factor ensures that the new filter has the desired cutoff frequency.
In the second step, we perform the spectral transformation by substituting z with (2z - 1)/(z + 1) in the scaled transfer function. This transformation maps the cutoff frequency of the original filter to the desired cutoff frequency, resulting in the design of a second-order lowpass filter HLP(Z) with the desired characteristics.
This technique is based on the fact that the frequency response of a digital filter is related to its transfer function. By manipulating the transfer function through scaling and substitution, we can achieve the desired cutoff frequency in the new filter.
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In an opamp inverting amplifier circuit, R = 10 ko. and Ri= 2.2 k. Find the output voltage when the input voltage is (a) +0.25 V (b)-1.8V
An operational amplifier (op-amp) is an electronic circuit element with two inputs and one output, with the output voltage usually being many times greater than the difference between the two inputs' voltages.
The op-amp is a differential amplifier circuit that has a high gain (typically thousands or more) and a stable output and is frequently used in amplifier circuits.Op-amp inverting amplifier circuitThe Op-Amp Inverting Amplifier is a simple circuit that provides a high voltage gain and a high input impedance, thanks to the op-amp's differential input nature. The circuit is made up of an operational amplifier and two resistors, R1 and R2, that form a feedback loop.
The op-amp inverting amplifier circuit can be used to provide a voltage gain or a current gain. In an op-amp inverting amplifier circuit, the output voltage is proportional to the difference between the input voltage and the reference voltage multiplied by the gain.
The op-amp inverting amplifier circuit's voltage gain is determined by the ratio of the feedback resistor to the input resistor, as shown in the equation below. Gain = - Rf/RiTo determine the output voltage of the inverting amplifier circuit, we can use the equation. Vo= - (Rf/Ri)*VinThe given parameters in the circuit are Rf = 10 ko and Ri = 2.2 k, so the voltage gain can be determined using the above formula.
Gain = - Rf/Ri= - 10 k / 2.2 k = -4.54The negative sign in the gain equation represents the fact that the output voltage is 180 degrees out of phase with the input voltage.
Now we can calculate the output voltage for the given input voltages: (a) +0.25 V, and (b) -1.8V. Vo= - (Rf/Ri)*Vin = - (-4.54)*0.25 = 1.14V (for +0.25 V input voltage)Vo= - (Rf/Ri)*Vin = - (-4.54)*(-1.8) = -8.172V (for -1.8V input voltage)Therefore, the output voltage is 1.14V for an input voltage of +0.25V and -8.172V for an input voltage of -1.8V in an op-amp inverting amplifier circuit.
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Write a C program to implement the following requirement:
Input:
The program will read from standard input any text up to 10,000 characters and store each word (a string that does not contain any whitespace with a maximum of 100 characters) into a node of a linked list, using the following struct:
struct NODE {
char *word;
struct NODE *next;
struct NODE *prev;
};
Output:
The program will print out 2 things
- On the first line, the original list of words, each word is separated by a single comma "". - On the second line, the list of words after removing duplicate words, each word is separated by a single comma ",".
Note: If there is no word in the input text, the program must print the empty string to stdout.
SAMPLE INPUT 1
hello world this is a single line
SAMPLE OUTPUT 1
hello, world, this, is, a, single, line hello, world, this, is, a, single, line
SAMPLE INPUT 2
This is the
this is the second
first line
line line
SAMPLE OUTPUT 2
This, is, the, first, line, this, is, the, second, line This, is, the, first, line, this, second
We call `printList` again to print the updated list without duplicates. The ` freeList` function is used to free the memory allocated for the linked list nodes and their words. The program assumes that the input text will not exceed 10,000 characters and each word will have a maximum length of 100 characters.
Here's a C program that fulfills the given requirements:
```c
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MAX_WORD_LENGTH 100
struct NODE {
char *word;
struct NODE *next;
struct NODE *prev;
};
struct NODE* createNode(char* word) {
struct NODE* newNode = (struct NODE*)malloc(sizeof(struct NODE));
newNode->word = strdup(word);
newNode->next = NULL;
newNode->prev = NULL;
return newNode;
}
void insertNode(struct NODE** head, struct NODE** tail, char* word) {
struct NODE* newNode = createNode(word);
if (*head == NULL) {
*head = newNode;
*tail = newNode;
} else {
(*tail)->next = newNode;
newNode->prev = *tail;
*tail = newNode;
}
}
void printList(struct NODE* head) {
struct NODE* current = head;
while (current != NULL) {
printf("%s", current->word);
if (current->next != NULL) {
printf(", ");
}
current = current->next;
}
printf("\n");
}
void removeDuplicates(struct NODE** head) {
struct NODE* current = *head;
struct NODE* nextNode;
while (current != NULL) {
nextNode = current->next;
while (nextNode != NULL) {
if (strcmp(current->word, nextNode->word) == 0) {
struct NODE* duplicate = nextNode;
nextNode->prev->next = nextNode->next;
if (nextNode->next != NULL) {
nextNode->next->prev = nextNode->prev;
}
nextNode = nextNode->next;
free(duplicate->word);
free(duplicate);
} else {
nextNode = nextNode->next;
}
}
current = current->next;
}
}
void freeList(struct NODE* head) {
struct NODE* current = head;
struct NODE* nextNode;
while (current != NULL) {
nextNode = current->next;
free(current->word);
free(current);
current = nextNode;
}
}
int main() {
struct NODE* head = NULL;
struct NODE* tail = NULL;
char input[10001];
if (fgets(input, sizeof(input), stdin) != NULL) {
char* word = strtok(input, " \t\n");
while (word != NULL) {
insertNode(&head, &tail, word);
word = strtok(NULL, " \t\n");
}
}
printList(head);
removeDuplicates(&head);
printList(head);
freeList(head);
return 0;
}
```
In this program, we use a linked list to store the words from the input text. The `struct NODE` represents each node in the linked list and consists of a `word` string, a `next` pointer to the next node, and a `prev` pointer to the previous node.
The `createNode` function is used to create a new node with a given word. The `insertNode` function inserts a new node at the end of the linked list. The `printList` function prints the words in the linked list separated by commas.
After reading the input text and creating the linked list, we call the `removeDuplicates` function to remove any duplicate words from the list. It compares each word with the subsequent words and removes duplicates as necessary.
Finally, we call `printList` again to print the updated list without duplicates. The `
freeList` function is used to free the memory allocated for the linked list nodes and their words.
Note: The program assumes that the input text will not exceed 10,000 characters and each word will have a maximum length of 100 characters.
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Draw a typical vi-characteristic of a silicone-controlled rectifier and define: Latching current, Holding current, Reverse breakdown voltage, and Forward breakover voltage
A typical V-I characteristic of a silicon-controlled rectifier (SCR) shows the relationship between voltage (V) and current (I) in the device. Key parameters associated with SCRs include latching current, holding current, reverse breakdown voltage, and forward breakover voltage.
The V-I characteristic of an SCR is a graph that illustrates the behavior of the device with respect to voltage and current. The graph typically consists of four regions: forward blocking, forward conduction, reverse blocking, and reverse conduction.
Latching current refers to the minimum current required to keep the SCR in the conducting state after the gate signal is removed. Once the current exceeds the latching current value, the SCR remains conducting even if the gate signal is removed.
Holding current is the minimum current required to maintain conduction in the SCR once it has been triggered. If the current falls below the holding current, the SCR will turn off.
Reverse breakdown voltage is the maximum reverse voltage that an SCR can withstand without experiencing breakdown. If the reverse voltage exceeds this value, the SCR may fail or conduct in the reverse direction.
Forward breakover voltage is the voltage at which the SCR switches from the forward blocking region to the forward conduction region. It represents the minimum voltage required to trigger conduction in the device.
These parameters are important in SCR applications as they determine the operating characteristics and reliability of the device in various circuit configurations.
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Program in C++
Assignment:
The first phase of compilation is called scanning or lexical analysis. This phase interprets the input program as a sequence of characters and produces a sequence of tokens, which will be used by the parser.
Write a C++ program that implements a simple scanner for a source file given as a command-line argument.
The program will scan for digits 0,1,2,3,4,5,6,7,8,9
Program will:
-Read a text file
-Make a list of how many times the above digits will appear in the text file.
Here is the implementation of a simple scanner in C++ that counts the number of times the digits 0-9 appear in a text file:
#include #include #include #include #include using namespace std; int main(int argc, char** argv) { if (argc != 2) { cout << "Usage: " << argv[0] << " " << endl; return 1; } ifstream infile(argv[1]); if (!infile) { cerr << "Error: Could not open file " << argv[1] << endl; return 1; } int digit_counts[10] = {0}; char c; while (infile.get(c)) { if (isdigit(c)) { digit_counts[c-'0']++; } } for (int i = 0; i < 10; i++) { cout << "Digit " << i << " appears " << digit_counts[i] << " times" << endl; } return 0; }
In this program, we first check if a command-line argument (the name of the text file) has been provided. If not, we print a usage message and exit with an error code. Then we try to open the file. If the file cannot be opened, we print an error message and exit with an error code.
Next, we declare an array digit_counts to store the number of times each digit appears in the text file. We initialize the array to all zeroes using the {0} syntax. Then we loop over each character in the file using infile.get(c), checking if each character is a digit using isdigit(c).
If the character is a digit, we increment the corresponding count in digit_counts.Finally, we print out the counts using a loop and the cout statement. The expression c-'0' converts the character digit c to an integer value between 0 and 9 by subtracting the ASCII code of '0' from the ASCII code of c, which is guaranteed to be a digit in this context.
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A new greenfield area developer has approached your company to design a passive optical network (PON) to serve a new residential area with a population density of 64 households. After discussion with their management team, they have decided to go with XGPON2 standard which is based on TDM-PON with a downlink transmission able to support 10 Gb/s. Assuming that all the 64 households will be served under this new PON, your company is consulted to design this network. Given below are the known parameters and specifications that may help with the design of the PON. • Downlink wavelength window = 1550 nm Bit error-rate-10-¹5 • • Bit-rate = 10 Gb/s • Transmitter optical power = 0 dBm • 1:32 splitters are available with a loss of 15 dB per port • 1:2 splitters are available with a loss of 3 dB per port • Feeder fibre length = 12 km • Longest drop fibre length = 4 km • Put aside a total system margin of 3 dB for maintenance, ageing, repair, etc Connector losses of 1 dB each at the receiver and transmitter • • Splice losses are negligible a. Based on the given specifications, sketch your design of the PON assuming worst case scenario where all households have the longest drop fibre. (3 marks) b. What is the bit rate per household? (1 marks) c. Calculate the link power budget of your design and explain which receiver you would use for this design. (7 marks) d. Show your dispersion calculations and determine the transmitter you would use in your design. State your final design configuration (wavelength, fibre, transmitter and receiver). (4 marks) e. After presenting your design to the developer, the developer decides to go for NG- PON2 standard that uses TWDM-PON rather than TDM-PON to cater for future expansions. Briefly explain how you would modify your design to upgrade your current TDM-PON to TWDM-PON. Here you can assume NG-PON2 standard of 4 wavelengths with each channel carrying 10 Gb/s. You do not need to redo your power budget and dispersion calculations, assuming that the components that you have chosen for TDM- PON will work for TWDM-PON. Discuss what additional components you would need to make this modification (for downlink transmission). Also discuss how you would implement uplink for the TWDM-PON. Sketch your modified design for downlink only. (5 marks)
PON design assuming the worst-case scenario where all households have the longest drop fiberThe total number of users is 64. Therefore, in this case, 2 levels of splitting are required in the network with 1:2 and 1:32 splitters.
splitters delivers the signals to two users, and each of the 1:32 splitters delivers the signal to 32 users. The 1:2 splitter will be used to split the signal to the 32 drop fibers originating from the 1:32 splitter. It will be used to connect the 1:32 splitter to the first 1:2 splitter, which will divide the signal into two to serve the first 32 households.
The longest drop fiber length is 4 km. Using a 1:32 splitter will allow a single OLT port to provide service to 32 different households. The 1:32 splitter has a total splitting loss of 15 dB, resulting in a power budget of 31 dB for each 32 user groups.
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This is modeled using procedural constructs. (A) Behavioral (B) Gate-level (C) Data flow (D) Structure
The answer to the question is D) Structure. Procedural constructs are used to model structures in programming, emphasizing a sequential flow of control through explicit instructions and the use of control structures, loop structures, and subroutines. The focus is on organizing the program into smaller procedures or functions to handle specific tasks.
Procedural constructs are used to model structures. A programming paradigm that emphasizes the process of creating a program, using a series of explicit instructions that reflect a sequential flow of control is known as a procedural construct. Procedural programming works by implementing functions that are programmed to handle different situations. Control structures, loop structures, and subroutines are among the primary structures used in procedural programming. Given the question, "This is modeled using procedural constructs," the correct answer is D) Structure.
In programming, procedural constructs refer to the organization and flow of instructions within a program. These constructs focus on defining procedures or functions that perform specific tasks and controlling the flow of execution through control structures like loops, conditionals, and subroutines.
Procedural programming follows a top-down approach, where the program is divided into smaller procedures or functions that can be called and executed in a specific order. Each procedure carries out a specific task and can interact with data through parameters and return values.
The use of procedural constructs provides a structured and organized way to design and develop programs. It helps in breaking down complex problems into smaller, manageable tasks, improving code readability, reusability, and maintainability.
In the context of the question, if a program is modeled using procedural constructs, it implies that the program's design and implementation are structured using procedures or functions, control structures, and modular organization, indicating the usage of a structured programming approach.
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Let's consider a sequence x[n]-ôn+0.28(n-2)+ 0.58(n-4)+ 8(n-6) a) What is the length of the sequence L? b) Find the DFT where we can regenerate x(n) without any loss. Find the 4-point DFT of the signal. x[n] = 4Cos² (77) – Sin² in² By using the Inverse Discrete Fourier Transformation (IDFT) expansion.
Given: Sequence `x[n] = on+0.28(n-2)+ 0.58(n-4)+ 8(n-6)`a) Length of sequence L
The sequence x[n] can be written as:
`x[n]=on+0.28n-0.56+0.58n-2.32+8n-48`or `x[n]= (on-0.56) + (0.28n+0.58n-2.32) + (8n-48)`For `n=0`,
the first term of x[n] is `x[0] = (0*0-0.56) = -0.56`For `n=L-1`,
the first term of x[n] is `x[L-1] = (L-1)*1 -48 = L-49`Now `x[n]= a*r^(n) + b*n + c
Using the given values, `x[0]=a-b/2+c = -0.56`and `x[L-1]=a*r^(L-1) + b*(L-1) + c = L-49`and `x[2]=a*r^(2) + 2b + c = 0.58*2 -2.32 + 8*2 - 48 = -26.36
`Solving the above three equations, we get `a=0.28`, `b=1`, and `c=-0.28`.Now for `n=0`, the sequence `x[n]` has a non-zero term, hence `L>=1`. Similarly, for `n=5`, the sequence `x[n]` has a non-zero term, hence `L<=7`.
Therefore, the length of the sequence `x[n]` is `L=7`.b) DFT of sequence `x[n]
`Given sequence `x[n] = 4Cos² (77) – Sin² (n²)`Let `y[n]` be the DFT of `x[n]`.`y[n] = IDFT(x[k])``y[0] = 1/L Σ_(k=0)^(L-1) x[k]`` = 1/7 (0-0.56-1.46-0.88-0.56-1.46-40)` `=-5.
2`DFT of 4 point sequence `x[0], x[1], x[2], x[3]` is given by`X[k] = Σ_(n=0)^3 x[n] exp(-i2πnk/4)`` = x[0] + x[1] exp(-ikπ/2) + x[2] exp(-ikπ) + x[3] exp(-ik3π/2)`Given sequence `x[n] = 4Cos² (77) – Sin² (n²)`For `n=0`, we get `x[0]=4Cos² (0) – Sin² (0) = 4`.For `n=1`, we get `x[1]=4Cos² (77) – Sin² (1) = 3.8635`.For `n=2`,
we get `x[2]=4Cos² (154) – Sin² (4) = 3.6573`.For `n=3`, we get `x[3]=4Cos² (231) – Sin² (9) = 3.3829`.Therefore, the 4 point DFT of the sequence `x[n]` is`X[k] = 4 + 3.8635 exp(-ikπ/2) + 3.6573 exp(-ikπ) + 3.3829 exp(-ik3π/2)`where `k = 0, 1, 2, 3`.
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