(a) Find the complex impedance equation for the Active Low-Pass Filter using KCL at node A. (b) Assuming R2 = 10k22, calculate a value for C to give a cutoff frequency of 628Hz. (C) and calculate a value of R, such that the gain is -5. Show all steps and work.

Answer:

a) the output voltage is 50 V

b)

- the average inductor current is 10 A

- the maximum inductor current is 13 A

- the maximum inductor current is 7 A

c) the output voltage ripple is 0.006 or 0.6%V₀

d) the average current in the diode under ideal components is 4 A

Explanation:

Given the data in the question;

a) the output voltage

V₀ = V\(_s\)/( 1 - D )

given that; V\(_s\) = 20 V, D = 0.6

we substitute

V₀ = 20 / ( 1 - 0.6 )

V₀ = 20 / 0.4

V₀ = 50 V

Therefore, the output voltage is 50 V

b)

- the average inductor current

\(I_L\) = V\(_s\) / ( 1 - D )²R

given that R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6

we substitute

\(I_L\) = 20 / (( 1 - 0.6 )² × 12.5)

\(I_L\) = 20 / (( 0.4)² × 12.5)

\(I_L\) = 20 / ( 0.16 × 12.5 )

\(I_L\) = 20 / 2

\(I_L\) = 10 A

Therefore, the average inductor current is 10 A

- the maximum inductor current

\(I_{Lmax\) = [V\(_s\) / ( 1 - D )²R] + [ V

given that, R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6, L = 10 μH, T = 1/200 kHz = 5 hz

we substitute

\(I_{Lmax\) = [20 / (( 1 - 0.6 )² × 12.5)] + [ (20 × 0.6 × 5) / (2 × 10) ]

\(I_{Lmax\) = [20 / 2 ] + [ 60 / 20 ]    

\(I_{Lmax\) = 10 + 3

\(I_{Lmax\) = 13 A

Therefore, the maximum inductor current is 13 A

- The minimum inductor current

\(I_{Lmax\) = [V\(_s\) / ( 1 - D )²R] - [ V

given that, R = 12.5 Ω, V\(_s\) = 20 V, D = 0.6, L = 10 μH, T = 1/200 kHz = 5 hz

we substitute

\(I_{Lmin\) = [20 / (( 1 - 0.6 )² × 12.5)] - [ (20 × 0.6 × 5) / (2 × 10) ]

\(I_{Lmin\) = [20 / 2 ] -[ 60 / 20 ]    

\(I_{Lmin\) = 10 - 3

\(I_{Lmin\)  = 7 A

Therefore, the maximum inductor current is 7 A

c)  the output voltage ripple

ΔV₀/V₀ = D/RCf

given that; R = 12.5 Ω, C = 40 μF = 40 × 10⁻⁶ F, D = 0.6, f = 200 Khz = 2 × 10⁵ Hz

we substitute

ΔV₀/V₀ = 0.6 / (12.5 × (40 × 10⁻⁶) × (2 × 10⁵) )

ΔV₀/V₀ = 0.6 / 100

ΔV₀/V₀ = 0.006 or 0.6%V₀

Therefore, the output voltage ripple is 0.006 or 0.6%V₀

d) the average current in the diode under ideal components;

under ideal components; diode current = output current

hence the diode current will be;

\(I_D\) = V₀/R

as V₀ = 50 V and R = 12.5 Ω

we substitute

\(I_D\) = 50 / 12.5

\(I_D\) = 4 A

Therefore, the average current in the diode under ideal components is 4 A

John Smeatom, U.K. 18th century, was the first self-proclaimed, civil engineer in the 18th century and IS considered “the father of modern, civil engineering”.

hoped this helped! :)

Answer:

Sir Mokshagundam Visvesvaraya

The option that accurately describes circuits is this: B. In a series circuit, the current can flow through only one path from start to finish.

The option that best describes circuits is that in a series circuit the flow of current moves from one point to another. The current simply flows on a single line and there are no diversions.

Also, the addition of the resistors in a series circuit will yield the total resistance present in the circuit. So, of all the options listed about circuits, option B is the most accurate.

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Answer:

steel beams are more stable for building.

Explanation:

Because they are much stronger then wood

To group the rocks into different categories based on their physical attributes. She conducted research on texture and composition.

Two criteria—TEXTURE and COMPOSITION—are used to categorize rocks. The sizes, shapes, and relationships between the many mineral grains and other components that make up a rock are what determine its texture. The process that created the rock controls these elements. Color, hardness, luster, crystal formations, density, and cleavage are characteristics that aid in the identification of minerals in rocks by geologists. Crystal structure at the atomic level principally determines crystal shape, cleavage, and hardness. The chemical makeup mostly determines color and density. The most prevalent physical characteristics are those related to crystal structure, color, hardness, cleavage, and specific gravity. Examining a mineral's crystal shape is one of the finest ways to identify it.

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Templates are tosca elements that need to be added to requirements as per best practices.

Why do Templates need to be added?

Before you can run your tests, you must perform tasks manually that Template Selection enables you to automate. You can carry out the following actions in Step 3:

• The Test Case templates you want to employ for your tests should be chosen.

• Make a list of the test cases that will be executed or an execution list.

• Make a set of functional or non-functional criteria called a requirement set to evaluate the business risk of a test project.

What are Templates?

A file used as a model for a new document is known as a template. Templates have pre-filled placeholder fields and expertly crafted styles and layouts. When creating a new file, many word processors, presentations, desktop publishing products, and even website providers include template galleries that you can peruse.

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Answer:

The answer to the question is True

On wet roads, the chance of hydroplaning increases with the increase of speed. Thus, the given statement is true.

During rainy weather, roads may become slippery and difficult to drive on. Slippery roads may also arise as a result of snow or ice. The fact that the road surface has less traction than normal is what makes it slippery. On slippery roads, it is recommended that drivers slow down to reduce the risk of skidding, sliding, or losing control of their cars, especially when taking turns.

Drivers should also increase their following distance and avoid abrupt braking or accelerating. Drivers should not drive faster than 25 mph on slippery roads, and they should not increase their speed to avoid hydroplaning. Instead, drivers should slow down.

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During gait the body of a living organism is gaining speed: a. during terminal stance.

Physical fitness can be defined as a measure of both the physical and mental soundness (wellness) or ability of an individual to engage in physical exercises, sports, work and other day-to-day activities.

For instance, one of the ways in which an individual can model good physical fitness to other individuals in their neighborhood is by:

Gait can be defined as the way and manner in which an animal or individual walks or runs, thereby affecting and altering the shape of the body.

In this context, we can infer and logically deduce that during gait the body of a living organism is gaining speed, especially during terminal stance.

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The length of the string is approximately 0.50 m.

To find the length of the string, we can use the formula T = 2π√(L/g), where T is the period of the oscillations, L is the length of the string, and g is the acceleration due to gravity.
First, we need to find the period of one oscillation. The student found that 10 oscillations take 12.0 s, so the period of one oscillation is 1.2 s (12.0 s ÷ 10).
Next, we can use the formula T = 2π√(L/g) and solve for L. Rearranging the formula, we get L = g(T/2π)^2.
We know that g is approximately 9.81 m/s^2 and T is 1.2 s, so plugging in those values we get:
L = 9.81 m/s^2 × (1.2 s/2π)^2
L ≈ 0.50 m
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The diffserve field in IPv4 is for Quality of Service (QoS). The QOS is the correct answer from the group of answer.

Quality of Service (QoS) is a set of technologies and mechanisms that enable network administrators to prioritize and manage network traffic according to specific requirements. QoS aims to ensure that critical applications receive the necessary network resources, such as bandwidth, latency, jitter, and packet loss, to perform effectively and efficiently.

QoS mechanisms can be implemented at various levels of the network, including the application layer, transport layer, and network layer. Some common QoS mechanisms include traffic shaping, traffic policing, prioritization, and queue management.

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Answer:

  ground

Explanation:

In modern cars, the chassis is connected to the negative terminal of the battery, and provides the "ground" or "return" for the circuit.

Answer:

ground

Explanation:

The potential change in volume of a cylinder is equal to 43.7088 cubic inches.

Mathematically, the volume of a cylinder can be calculated by using this formula:

V = πr²h

Where:

Additionally, the potential change in volume of a cylinder can be calculated by using this formula:

ΔV = area × length

Given the following data:

Substituting the given parameters into the formula, we have;

ΔV = 12.56 × 3.48

Change in volume, ΔV = 43.7088 cubic inches.

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Answer:

resource extraction

Explanation:

common sense

Answer:

C

Explanation:

Answer:

See explanation.

Explanation:

Since no figure was given I solved a problem that was similar to the one you described that I worked in my mechanics of materials class. The method should be very similar for your figure. See attached image for my work.

If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. Than the answer will be 52Mpa.

We need to perform a two step process to obtain the maximum shear stress on the shaft. For the solid shaft,

P=2×pi×N×T/60 or T=60×p/2×pi×N

Where P=power transmitted by the shaft=50×10³W

N=rotation speed of the shaft in rpm=730rpm

Pi=3.142

T is the twisting moment

By substituting the values for pi, N and P, we get

T=654Nm or 654×10³Nmm

Also, T=pi×rho×d³/16 or rho=16×T/pi×d³

Where rho=maximum shear stress

T = twisting moment=654×10³Nmm

d= diameter of shaft= 40mm

By substituting T, pi and d

Rho=52Mpa

b. For a hollow shaft, the value for rho is unknown

T=pi×rho(do⁴-di⁴/do)/16

Rho=T×16×do/pi×(do⁴-di⁴)

Where

T= twisting moment=654×10³Nmm gotten above

do=outside shaft diawter=40mm

di= inside shaft diameter =30mm

Pi=3.142

Substituting values for pi, do, di and T.

Rho=76Mpa

Therefore, If it is subjected to the couple determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. Than the answer will be 52Mpa.

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Answer:A

Explanation:

Those who want to save money and will use the product for only a few years

Answer:

THE ANSWER is A - those who want to save money and will use the product for only a few years

Explanation: Got it right on edg 2021

In a vapor compression system used for cooling a home and rejecting energy to the outdoor ambient, the cooling COP (Coefficient of Performance) will decrease as the temperature difference between the indoor air and the ambient air decreases.

The cooling COP is a measure of the cooling efficiency of the system, which is defined as the ratio of the amount of cooling provided to the amount of energy consumed by the compressor. When the temperature difference between the indoor air and the ambient air decreases, the compressor has to work harder to remove the same amount of heat from the indoor air. This results in a decrease in the cooling efficiency of the system and hence a decrease in the cooling COP.
For example, if the outdoor ambient temperature is very high and the indoor air temperature is much lower, the cooling COP will be high

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The ER diagram for the Temporary Employment Corporation (TEC) based on the business rules given is given below: Attributes for Entities:

(One-to-Many)One candidate can have many job histories. (One-to-Many)One job history can belong to only one candidate. (One-to-One)One placement can belong to only one candidate. (One-to-One)One job opening can be placed by many placements. (One-to-Many)One candidate can have many placements.

In the given diagram below, all the relationships and primary keys are labeled correctly and the ER diagram is resolved for all M:N relationships and 1:N relationships. If you want to add more attributes to each entity, you can do it accordingly:

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Answer:

The column of grade 300W steel H-section is given below:Given:Length of column, L = 6 mPinned about minor axis, Y - Y Fixed about major principal axis, X - X Yield stress, fy = 300 MPa Young's modulus.

Explanation:

For the axially compressive force which would produce yield stress in the section :For calculating Euler buckling load for the column :For the failure load for the column according to the Rankine theory . The axially compressive force which would produce yield stress in the section. The formula for calculating the axially compressive force which would produce yield stress in the section is shown below: f_y = \frac{{F_y}}{{A_o}}

The axially compressive force which would produce yield stress in the section. The formula for calculating the axially compressive force which would produce yield stress in the section is shown Where, A o is the cross-sectional area of the column .Fy is the yield stress, which is given as 300 MPa. Hence, we can write as .

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The correct answer is False. Even if a new system is expected to produce benefits, if users have difficulty with the system, it may not be able to achieve those benefits.

User acceptance and adoption are critical factors in the success of any new system implementation. If users are unable or unwilling to use the system effectively, it may not produce the expected benefits, or may even cause problems and inefficiencies. Therefore, it is important to ensure that users are properly trained and supported in using the new system, and that their feedback and concerns are addressed throughout the implementation process.

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Both technicians A and B are partially correct, because it's important to note that ABS is not a foolproof solution in all driving situations and should not be relied upon as a substitute for proper driving techniques and caution.Technician A is partially correct in that ABS (Anti-lock Braking System) can improve directional stability. Technician B is also partially correct in that ABS can improve braking performance on loose snow.

Both technicians are partially correct, but neither is entirely accurate.

Technician A is partially correct in that ABS (Anti-lock Braking System) can improve directional stability when the brakes are applied while turning a corner, especially on slippery or uneven road surfaces. The system can prevent the wheels from locking up and skidding, which can cause the vehicle to lose control. However, it's important to note that ABS does not necessarily guarantee superior directional stability in all situations, and the driver should still exercise caution and proper driving techniques when turning.

Technician B is also partially correct in that ABS can improve braking performance on loose snow, as the system can help prevent the wheels from locking up and losing traction. However, other factors such as tire type and condition, road gradient, and vehicle weight distribution can also impact braking performance on loose snow.

Therefore, both technicians are partially correct, but it's important to note that ABS is not a foolproof solution in all driving situations and should not be relied upon as a substitute for proper driving techniques and caution.

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Identifying resistances in series and parallel in a series-parallel circuits involves analyzing the circuit's topology and understanding the connection patterns.

This information affects how you measure current and voltages using a digital multimeter. Voltage division and current division are techniques used to analyze series-parallel circuits, with voltage division determining the voltage across individual resistances and current division determining the current through individual branches.

To identify resistances in series, you look for a direct connection between resistors where the current flows through one resistor into the next without any branching. In parallel, resistances are connected at both ends and share the same voltage. Analyzing the circuit's schematic or physical layout helps identify the connections.

When measuring current with a digital multimeter in a series-parallel circuit, you can place the meter in series with a specific branch to measure the current flowing through that branch. For voltage measurements, you can use the meter in parallel across a particular resistance to measure the voltage drop across it.

Voltage division is a technique used to determine the voltage across individual resistances in a series-parallel circuit. By considering the ratio of the resistance value to the total resistance, you can calculate the voltage drop across each resistor using the total applied voltage. Current division, on the other hand, analyzes the current flowing through different branches in a series-parallel circuit. It involves calculating the ratio of the conductance (inverse of resistance) to the total conductance and multiplying it by the total current to determine the current flowing through each branch.

identifying series and parallel resistances in a series-parallel circuit allows for accurate measurement of current and voltage using a digital multimeter. Voltage division and current division are useful techniques for analyzing series-parallel circuits, providing insights into the voltage drop and current distribution across resistors and branches, respectively.

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Load factor can generally be defined as the ratio between the maximum load a structure can tolerate and the present force impacting it.

Joint separation, in contrast, outlines the gap between two component parts of the structural arrangement.

Considering that if the sustained weight or pressure is at its most optimal limit (pmax), then the load rate would be entirely equal to one; thus, we can assume the burden imposed on the joint become perceptible through gauging the loading factor. Having said that, without further knowledge, no definitive judgment can be fully established.

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To create a Turing Machine (TM) that recognizes the language where the number of 0s is twice the number of 1s, we can follow these steps:

Formal Definition of the Turing Machine:

M = {Q, Σ, Γ, δ, q0, qaccept, qreject}

Q: Set of states

Σ: Input alphabet

Γ: Tape alphabet

δ: Transition function

q0: Initial state

qaccept: Accept state

qreject: Reject state

1. Set of States (Q):

  Q = {q0, q1, q2, q3, q4, q5, q6}

2. Input Alphabet (Σ):

  Σ = {0, 1}

3. Tape Alphabet (Γ):

  Γ = {0, 1, X, Y, B}

  Where:

  X: Marker to denote a counted 0

  Y: Marker to denote a counted 1

  B: Blank symbol

4. Transition Function (δ):

  The transition function defines the behavior of the Turing Machine.

  The table below represents the transition function for our TM:

  | State | Symbol | Next State | Write | Move   |

  |-------|--------|------------|-------|--------|

  | q0    | 0      | q1         | X     | Right  |

  | q0    | 1      | q3         | Y     | Right  |

  | q0    | B      | q6         | B     | Right  |

  | q1    | 0      | q1         | 0     | Right  |

  | q1    | 1      | q2         | Y     | Left   |

  | q1    | B      | q6         | B     | Right  |

  | q2    | 0      | q2         | 0     | Left   |

  | q2    | X      | q0         | X     | Right  |

  | q2    | Y      | q0         | Y     | Right  |

  | q3    | 1      | q3         | 1     | Right  |

  | q3    | 0      | q4         | X     | Left   |

  | q3    | B      | q6         | B     | Right  |

  | q4    | 1      | q4         | 1     | Left   |

  | q4    | Y      | q0         | Y     | Right  |

  | q4    | X      | q0         | X     | Right  |

  | q5    | B      | qaccept    | B     | Right  |

  | q5    | 0      | q5         | B     | Right  |

  | q5    | 1      | q5         | B     | Right  |

  Note: The transitions not listed in the table indicate that the Turing Machine goes to the reject state (qreject).

5. Initial State (q0):

  q0

6. Accept State (qaccept):

  qaccept

7. Reject State (qreject):

  qreject

Transition Diagram:

The transition diagram provides a visual representation of the TM's states and transitions.

```

   ------> q1 ------

  /      ^         \

  | 0     | 1        |

  v       v         |

 q2 <---- q3 ------/

  | 0     | 1

  v       v

 q4 <---- q0 -----> q6

  |

     /        /

  |     B        |

  v             v

 q5 ---> qaccept

```

This Turing Machine starts in state q0 and scans the input from left to right. It counts the number of 0s by replacing each 0 with an X and counts the number of 1s by replacing each 1 with a Y. The machine moves right to continue scanning and left to revisit previously counted symbols. If the machine encounters a B (blank symbol), it moves to state q6, which is the reject state. If the machine counts twice as many 0s as 1s, it reaches the accept state qaccept and halts. Otherwise, it moves to the reject state qreject.

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In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:

Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.

Establish the initiating vertex as the current vertex.

Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.

Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.

Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.

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Answer:

do the wam wam

Explanation:

The heat flux is =1038kW/m² , the heat lost per hour is =259.5 kW, the heat lost per hour using a sheet of soda- lime glass.

The thickness of steel( t) = 10mm = 10× 10^-³m

The temperature difference on both sides = 300-100

∆T = 200°C

But the formula for heat flux = q = k∆T/t

Where K = thermal conductivity for steel = 51.9W/mK.

Substitute the variables into the formula for heat flux;

q = 51.9 × 200/10 × 10-³

q = 10380 × 10³/10

q = 10380000/10

q = 1038000 W/m² = 1038kW/m²

To calculate the heat lost per hour if the cross sectional area is = 0.25 m2 use the formula q × A

= 1038kW/m² × 0.25 m2

= 259.5 kW.

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True. a relationship between two nominal variables is summarized by a contingency table.

A contingency table is a way to summarize and display the relationship between two nominal variables. It organizes the data into rows and columns, with each cell representing the frequency or count of observations that fall into a specific combination of categories for the two variables. Contingency tables are commonly used in statistical analysis, especially in fields such as social sciences, market research, and epidemiology, to examine the association or dependency between categorical variables.

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