Three loads are connected in parallel across a single-phase source voltage of 480 V (RMS). Load 1 absorbs 10 kW and 8 kVAR; Load 2 absorbs 5 kVA at 0.9 power factor leading; Load 3 absorbs 12 kW at 0.95 power factor leading. Calculate the equivalent impedance, Z, for the three parallel loads, for two cases: (a) Series combination of R and X, and (b) parallel combination of R and X. Problem

Answers

Answer 1

Answer:

a) ZT = [ 38.786 ∠-4.28° ] ohms

b) ZT = [ 8.673 ∠4.06° ] ohms

Explanation:

Given that;

Voltage V = 480V

three loads of 1) 10Kw, 8 kVAR

2) 5 kVA, 0.9 power factor lagging

3) 12kW, 0.95 pf leading

Now for load1

Active power P = V^2 / R

Resistance R1 = V^2 / P

= (480 * 480) / 10*1000 = 23.04 OHMS

Reactive power Q = 8kVAR

let x be reactance

Q = V^2 / x

8 * 1000 = (480 * 480) / x

x1 = j28.8 ohms (inductive)

Load 2

Active power = kVA * nf = 5 * 9 = 4.5 Kw

Reactive power = sqrt(S^2 - P^2)

= Sqrt (5^2 - 4.5^2)

= 2.179 kVAR

now Resistance R2 = V^2 / P2 = (480 * 480) / 4.5*10^3

= 51.2 ohms

Reactance X2 = V^2 / Q2 = (480 * 480) / 2.178*10^3

X2 = 105.75 ohms

x2 = -j105.75 ohms (capacitive)

Load 3

Active power = 12kW AND PF = 0.95

so

kVA rating = 12/0.95 = 12.63 kVA

reactive power Q3 = sqrt (12.63^2 - 12^2 )

= 3.94 kVAR

Resistance R3 = V^2/P3 = (480*480) / 12*10^3

= 19.2 ohms

Reactance x3 = V2 / Q3 = (480 * 480) / 3.94*10^3

x3 = 58.47 ohms

x3 = -j58.47 ohms (capacitive)

NOW

a)

series combination of R and X

1/ZT = [1/(R1 + jx1)] + [1/(R2-jx2)] + [1/(R3-jx3)]

we substitute

1/ZT = [1/(23.04 + j28.8)] + [1/(51.2 - j105.74)] + [1/(19.2-58.48)]

1/ZT = 0.02571 + j1.92688*10^-3

ZT = 38.67 -j2.897 (total impedance)

so ZT = [ 38.786 ∠-4.28° ] ohms

b)

parallel combination of R AND X

1/ZT = 1/R1 + 1/jx1 + 1/R2 + 1/(-jx2) + 1/R3 + 1/(-jX3)

1/ZT = 1/23.04 + 1/j28.8 + 1/51.2 + 1/(-j105.74) + 1/19.2 + 1/(-58.48)

1/ZT = 0.1150 - j0.008164

ZT = 8.65 +j0.6141

so ZT = [ 8.673 ∠4.06° ] ohms


Related Questions

A 75 ! coaxial transmission line has a length of 2.0 cm and is terminated with a load impedance of 37.5 j75 !. If the relative permittivity of the line is 2.56 and the frequency is 3.0 GHz, find the input impedance to the line, the reflection coefficient at the load, the reflection coefficient at the input, and the SWR on the line

Answers

Answer:

4.26

Explanation:

The wavelength λ is given by:

[tex]\lambda=v/f=c/nf\\c=speed\ of\ light=3*10^8m/s,f=frequency=3*10^9Hz,n=permittivity=2.56\\\\\lambda=3*10^8/(2.56*3*10^9)=0.0625\ m\\[/tex]

Phase constant (β) = 2π/λ

βl = 2π/λ × l

l = 2 cm = 0.02 m

βl = 2π/0.0625 × 0.02=2.01 rad = 115.3°

1 rad = 180/π degrees

[tex]Z_L=load\ impedance=37.5+j75\\\\Z_o=characteristic impedance = 75\ ohm\\\\\tilde {Z_L}=Z_L/Z_o=37.5+j75/75=0.5+j[/tex]

[tex]\tilde {Z_{in}}=\frac{\tilde {Z_{L}}+jtan\beta l}{1+j\tilde {Z_{L}}tan\beta l}=\frac{0.5+j+jtan(115.2)}{1+j(0.5+j)tan(115.2)}=0.253-j0.274\\ \\Z_{in}=Z_o\tilde {Z_{in}}=75(0.253-j0.274)=19-j20.5\\\\\Gamma_L=\frac{Z_L-Z_0}{Z_L+Z_o}=\frac{37.5+j75-75}{37.5+j75+75}=0.62\angle 83^o\\\\\Gamma_{in}=\frac{Z_{in}-Z_0}{Z_{in}+Z_o}=\frac{19-j20.5-75}{19-j20.5+75}=0.62\angle -147^o\\\\VSWR=\frac{1+\rho}{1-\rho} =\frac{1+0.62}{1-0.62}=4.26[/tex]

If you are driving a 30-foot
vehicle at 55 mph, you should
leave how many seconds of
following distance?

Answers

Answer:

3 sec

If you are driving a 30-foot vehicle at 55 mph, how many seconds of following distance should you allow? 30ft truck. = 3 sec. Since the truck is over 40 mph.

Explanation:

Please help I need by today !!

What is the purpose of an engineering notebook ?

What is the purpose of a portfolio?

Answers

the purpose of an engineering notebook is to support documented work that could potentially be patentable. hope you found this helpful!

What would be the required voltage of an energy source in a circuit with a current of 10.0 A and a resistance of 11.0 Ω?

Answers

Answer:

  110 V

Explanation:

V = IR

V = (10.0 A)(11.0 Ω) = 110 volts

Which of the following was the most important group of engineers on the project described in the following scenario? The "Big Dig" in Boston, Massachusetts, redesigned the entire highway system in the city, moving roads underground in many areas. The "Big Dig* required the services of different types of engineers. computer engineers civil engineers manufacturing engineers electrical engineers​

Answers

Answer:

the answer is A

Explanation:

Answer:

A

Explanation:

True or False? A constricting nozzle is used
to create, concentrate, and direct the high-
velocity plasma.

Answers

Answer:

True

Explanation:

Principles of plasma arc cutting, Uses a constricting nozzle to create, concentrate,  and direct the high-velocity plasma. Plasma gas is always used

in plasma arc cutting When shielding gas is also used, the process is called dual flow plasma arc cutting. I hope this helps.

 

Given the following MATLAB statement: ( 3 + 2 ) / 5 * 4 + 5 ^ 2 In what order will these operations be done?

Answers

Answer:

first is the parentheses, (3+2)=5 next is the exponent 5^2=25, next is the division 5 / 5 = 1, then the multiplication 4*1=4 and then you add 4+25=29. so the answer is 29.

You are a designer of a new processor. You have to choose between two possible implementations (called M1 and M2) of the same architecture. a. Machine M1 has a clock rate of 2.8 GHz and the following characteristics:Instruction classes CPI (Clocks per instruction) for each Instruction classes Frequency A 1 40% B 3 25%C 3 25%D 5 10%Instruction classes CPI (Clocks per instruction) Frequency A 2 40%B 2 20% C 3 15%D 4 25%Required:a. What is the CPI for each machine? b. What are the native MIPS ratings for M1 and M2? c. Which machine has a better by the MIPS performance (by comparing their MIPS values) and by how much?

Answers

Answer:

A ) CPI : M1 = 2.4 , M2 = 2.65

B ) MIPS : M1 = 1083, M2 = 1056

C ) The machine that has a better performance based on MIPS is M1 and this is  by 27 million number of instructions per sec

Explanation:

A) The CPI for each machine

CPI = ( Total number of execution cycles ) / ( instruction counter executed )

For Machine 1 ( M1 )

we have to make some assumptions : number of instructions = 10

number of times A was executed = 4 , Number of times B was executed = 2.5 , number of times C was executed = 2.5, Number of times D was executed = 1. and this was based on the frequency given above

hence CPI for M1 =[ ( 1 * 4 ) + ( 3 * 2.5 ) + ( 3 * 2.5 ) + ( 5 * 1 ) ] / 10

       CPI  for M1 = 2.4

For Machine 2 ( M2 )

we have to make some assumptions : number of instructions = 10

number of times A was executed = 4 , Number of times B was executed = 2.  number of times C was executed = 1.5, Number of times D was executed = 2.5 times. and this was based on the frequency given above

Hence CPI  for M1 = [ ( 2 * 4 ) + ( 2 * 2 ) + ( 3 * 1.5 ) + ( 4 * 2.5 ) ] / 10

            CPI for M2 = 2.65

B ) Calculate the native MIPS  ratings for M1 and M2

MIPS = ( instruction counts ) / ( Execution time * 10^6 )

For M1

Assumptions : number of instructions executed = 10

                        each clock cycle = 0.3846 * 10^-9.      frequency = 2.6 Ghz

first we calculate the total execution time which is equal to :

= [ ( 1 * 4 ) + ( 3 * 2.5 ) + ( 3 * 2.5 ) + ( 5 * 1 ) ] * 0.3846 * 10 ^-9

= 9.2304 * 10 ^-9 secs

therefore the MIPS for M1

= 10 / ( 9.2304 * 10^-9 ) * 10^6  = 1083

                                         

For M2

Assumptions : number of instructions executed = 10

                        each clock cycle = 0.3846 * 10^-9.      frequency = 2.8 Ghz

first we calculate the total execution time which is equal to :

= [ (2*4) + (2*2) + (3 * 1.5 ) + ( 4 * 2.5 ) ] * 0.3846 * 10^-9 = 9.4631 * 10^-9 secs

therefor the MIPS for M2

= 10 / ( 9.4631*10^-9) * 10^6 = 1056

C ) The machine that has a better performance based on MIPS is M1 and this is by 27 million number of instructions per sec

Find the Rectangular form of the following phasors?
1. P =10
2. P = 5
3. P = 25
4. P = 54
5. P = 65
6. P = 95
7. P = 250
8. P = 8
9. P = 35
10. P = 150

Answers

Answer:

The angles are missing in the question.

The angles are :

45,     30,    60,     90,    -34,     -56,      20,     -42,  -65,    -15

P=10, P=5,  P=25, P=54, P=65, P=95, P=250, P=8, P=35, P=150

Explanation:

1. P = 10,   θ = 45°  rectangular coordinates

x = r cosθ  ,   y = r sinθ

So, rectangular form is x + iy

x = P cosθ = 10 cos 45°

  = 7.07

y =P sinθ = 10 sin 45°

  = 7.07

Therefore, rectangular form

x + iy = 7.07 + i (7.07)

2. P = 5 , θ = 30°

x = 5 cos  30° = 4.33

y = 5 sin  30° = 2.5

So, (x+iy) = 4.33 + i (2.5)

3. P = 25 , θ = 60°

x = 25 cos  60° = 12.5

y = 25 sin  60° = 21.65

So, (x+iy) = 12.5 + i (21.65)

4. P = 54 , θ = 90°

x = 54 cos  90° = 0

y = 54 sin  90° = 54

So, (x+iy) = 0+ i (54)

5. P = 65 , θ = -34°

x = 65 cos  (-34°) = 53.88

y = 65 sin  (-34°) = -36.34

So, (x+iy) = 53.88 - i (36.34)

6. P = 95 , θ = -56°

x = 95 cos  (-56)° = 53.12

y = 95 sin  (-56)° = -78.75

So, (x+iy) = 53.12 - i (78.75)

7. P = 250 , θ = 20°

x = 250 cos  20° = 234.92

y = 250 sin 20° = 85.5

So, (x+iy) = 234.92 + i (85.5)

8. P = 8 , θ = (-42)°

x = 8 cos  (-42)° = 5.94

y = 8 sin  (-42)° = -5.353

So, (x+iy) = 5.94 - i (5.353)

9. P = 35 , θ = (-65)°

x = 35 cos  (-65)° = 14.79

y = 35 sin  (-65)° = -31.72

So, (x+iy) = 14.79 - i (31.72)

10. P = 150 , θ = (-15)°

x = 150 cos  (-15)° = 144.88

y = 150 sin  (-15)° = -38.82

So, (x+iy) = 144.88 - i (38.82)

what add the most carbon dioxide to the atmosphere

Answers

Answer:

Volcanic outgassing

The burning of fossil fuels (coal, oil, gasoline, natural gas), for heating, power generation and transport

Some industrial processes such as cement making.

Explanation:

Buying shop supplies from the shop owner to work on your own car at home is an ethical practice

Answers

Answer:

yes yes it is why wouldn't it be

It is true that buying shop supplies from the shop owner to work on your own car at home is an ethical practice.

What is ethical practice?

The term "ethical practises" refers to deeds and conduct that uphold established moral and social norms as well as shared values.

Honesty, fairness, transparency, accountability, respect, and responsibility are the traits that define these procedures.

The precise circumstances and the relationship between the shop owner and the individual will determine if purchasing shop materials from a shop owner to work on your own car at home is an ethical practise.

The exact situation and the relationship between the shop owner and the individual will determine whether or not purchasing shop materials from a shop owner to work on your own car at home is ethical.

Before implementing such a method, it is crucial to think about the possible outcomes and any ethical issues.

Thus, the given statement can be considered as true.

For more details regarding ethical practice, visit:

https://brainly.com/question/30263183

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Mechanical clips are used to close bags and keep things together. Investigate the design of various paper clips, hair clips, and potato chip bag clips. Choose three (3) different types of clips. Discuss what you think are important design parameters. Discuss the advantages and disadvantages associated with each of the three (3) designs.

Answers

Answer:

Hair clip: this used to hold human hairs together especially long hairs

The Design parameters to be considered are : number of teeth, durability of the material to be used and also the width ( how wide the clip can open )

Advantages : very easy to use, holds hairs tight

Disadvantages : Expensive and material used is sometimes brittle

paper clips : This used to hold papers together it is made of a thin elastic wire

The design parameters to be considered are : length of the wire, material to be used and the elasticity of the material

advantages : it is quite cheap and good strength

disadvantages :it can hold a limited amount of papers together

potato chip bag clips: These clips are used on potato chip bags to ensure that the bags are air tight

The design parameters to be considered are : Elasticity of the material to be used , and size

Advantages : it helps to prevent the potato chips from getting exposed to air

disadvantages : Not very popular and its quite expensive

Explanation:

Hair clip: this used to hold human hairs together especially long hairs

The Design parameters to be considered are : number of teeth, durability of the material to be used and also the width ( how wide the clip can open )

Advantages : very easy to use, holds hairs tight

Disadvantages : Expensive and material used is sometimes brittle

paper clips : This used to hold papers together it is made of a thin elastic wire

The design parameters to be considered are : length of the wire, material to be used and the elasticity of the material

advantages : it is quite cheap and good strength

disadvantages :it can hold a limited amount of papers together

potato chip bag clips: These clips are used on potato chip bags to ensure that the bags are air tight

The design parameters to be considered are : Elasticity of the material to be used , and size

Advantages : it helps to prevent the potato chips from getting exposed to air

disadvantages : Not very popular and its quite expensive

Drivers must slow down from 60 mi/hr to 40 mi/hr to negotiate a severe curve on a rural highway. A warning sign for the curve is clearly visible for a distance of 120 ft. How far in advance of the curve must the sign be located to ensure that vehicles have sufficient distance to decelerate safely. Use the standard reaction time and deceleration rate recommended by AASHTO for basic braking maneuvers.

Answers

Answer: the distance in advance of the curve the sign must be located to ensure that vehicles have sufficient distance to decelerate safely is 292.07 ft

Explanation:

first we calculate the distance to place sign board in advance to curve for decelerating the speed

d = 1.47Si t + [ (Si² - Sf²) / 30(0.348 ± 0.01G)

where d is the safe stopping distance, initial speed is Si (60 mi/hr ), time reaction is t (2.5s), Sf is the final speed (40 mi/hr), G is the grade (0).

so we substitute

d = (1.47 × 60 × 2.5) + [ (60² - 40²) / 30(0.348 ± 0)

= 220.5 + ( 2000/10.44)

= 220.5 + 191.57

= 412.07 ft

Now giving that a warning sign is clearly visible at a distance of 120 ft

optimum safe distance will be

d = minimum distance - sign visible distance

d = 412.07 - 120

d = 292.07 ft

therefore the distance in advance of the curve the sign must be located to ensure that vehicles have sufficient distance to decelerate safely is 292.07 ft

Which type of robots will NASA use to study the outer space and planets in our solar system?

Answers

Answer: These robots study planets from space. The Cassini spacecraft is this type of robot. Cassini studies Saturn and its moons and rings. The Voyager and Pioneer spacecraft are now traveling beyond our solar system

Explanation:

6. You are evaluating flow through an airway. The current flow rate is 10 liters per minute with a fixed driving pressure (P1) of 20 cm H2O and a fixed downstream pressure (P2) of 5 cm H2O. Identify whether each statement is correct or incorrect if we pinch the lumen in the middle of the tube. a. The flow would decrease b. P1 would increase to maintain the flow rate c. The resistance would increase

Answers

Answer:

B) P1 would increase to maintain the flow rate ( correct )

C) The resistance would increase (correct )

Explanation:

flow rate = 10 liters per minute

Driving pressure (p1) = 20 cm H20

Fixed downstream pressure (p2) = 5 cm H20

The correct statements when we pinch the Lumen in the middle of the tube would be : P1 would increase to maintain the flow rate and The resistance would increase.this is because when we pinch the Lumen we reduce its diameter and the reduction of its Diameter will result to increased resistance against the flow and resistance of flow is directly proportional to pressure hence P1 would increase as well

The wrong statement would be : The flow would decrease

What are the four categories of engineering materials used in manufacturing?

Answers

Answer:

metals, composite, ceramics and polymers.

Explanation:

The four categories of engineering materials used in manufacturing are metals, composite, ceramics and polymers.

i) Metals: Metals are solids made up of atoms held by matrix of electrons. They are good conductors of heat and electricity, ductile and strong.

ii) Composite: This is a combination of two or more materials. They have high strength to weight ratio, stiff, low conductivity. E.g are wood, concrete.

iii) Ceramics: They are inorganic, non-metallic crystalline compounds with high hardness and strength as well as poor conductors of electricity and heat.

iv) Polymers: They  have low weight and are poor conductors of electricity and heat

The Release Train Engineer is a servant leader who displays which two actions or behaviors?

Answers

Explanation:

The Release Train Engineer (RTE) has the main work of supporting as well as coaching the Agile Release Train (ART). They are capable of steering ART successfully and to navigate the complexity in delivering  the software in large and inter-functional environments.  

They serve the scrum master and coach teams to improve on the results.

The two actions or behaviors of the RTE are :

1. They try to create an environment of the mutual influence.  

2. Listens and also supports the teams in problem identification as well as decision-making.

                   

The behaviors or actions that the release train engineer does include:

Operating within the lean budget.Facilitating demos

The release train engineer refers to a servant leader who is responsible for facilitating program-level processes and executes them.

The release train engineer is also responsible for driving continuous development, managing risks, and escalating impediments. Some of their actions include operating within the lean budget and facilitating demos.

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Determine the angles made by the vector V = - 36i + 15j with the positive x- and y-axes. Write the unit vector n in the direction of V.

Answers

Answer:

  157.38° CCW from +x axis

  67.38° CCW from +y axis

  n = (12/13)i +(5/13)j

Explanation:

The reference angle is ...

  arctan(15/36) ≈ 22.62° . . . . CW from the -x axis

The signs of the component vectors indicate this is a 2nd-quadrant vector, so the angles of interest are ...

  157.38° CCW from +x axis

  67.38° CCW from +y axis

The unit vector will be ...

  n = cos(157.38°)i +sin(157.38°)j

 n = (12/13)i +(5/13)j

When an object is made of the plastic polyester (PET), it uses antimony as a catalyst. After production, antimony can leach into food and drink stored in PET containers. Usually, if stored correctly for a short amount of time, the amount of antimony found in liquids is well below the safety limits. However, there have been reports of as much as 44.7 micrograms per liter [µg/L] of antimony found in fruit juice concentrates. How much antimony, in units of moles [mol], could be found in one gallon [gal] of fruit juice concentrate at this level of contamination? The molecular mass of antimony is 121.76 grams per mole [g/mol].

Answers

Answer:

  1.39 µmol

Explanation:

(1 gal) × (44.7 µg/L)/(121.76 g/mol)(3.785411784 L/gal) = 1.39 µmol

The best way to check the efficiency of individual cylinders is:________.

Answers

Answer:

To run. The machine one at a time

Explanation:

While supporting load P, the maximum contraction permitted in a 4.75-m long pipe column is 7 mm. Given that E =180 GPa for the column, determine the stress in the pipe at the maximum allowable contraction.

Answers

Answer:

[tex]\mathbf{stress \ \sigma = 264.6 \ Mpa}[/tex]

Explanation:

From the concept of Hooke's  Law,

[tex]E =\dfrac{ stress \ \sigma}{ strain \ \varepsilon}[/tex]

where;

[tex]strain \ \varepsilon = \dfrac{change \ in \ dimension }{original \ dimension}[/tex]

[tex]strain \ \varepsilon = \dfrac{7 \ mm }{4.75 \times 10^{3} \ mm}[/tex]

[tex]strain \ \varepsilon =0.00147368[/tex]

Recall:

[tex]E =\dfrac{ stress \ \sigma}{ strain \ \varepsilon}[/tex]

[tex]stress \ \sigma = E \times { strain \ \varepsilon}[/tex]

[tex]stress \ \sigma = 180 \times 10^{3} \ Mpa \times 0.00147[/tex]

[tex]\mathbf{stress \ \sigma = 264.6 \ Mpa}[/tex]

Thus, the stress in the pipe at the maximum allowable contraction = 264.6 Mpa

factors of production examples for a home?

Answers

Answer:

The four factors of production are land, labor, capital, and entrepreneurship. They are the inputs needed for supply. They produce all the goods and services in an economy. That's measured by gross domestic product.

please give brainlist

hope this helped........

An ideal Otto Cycle has a compression ratio of 9.2 and uses air as the working fluid. At the beginning of the compression process, air is at 98kPa and 20C. The pressure is doubled during the constant volume heat addition process. Assuming constant specific heats, determine:

Answers

Answer: hello your question is incomplete below is the complete question

An ideal Otto Cycle has a compression ratio of 9.2 and uses air as the working fluid. At the beginning of the compression process, air is at 98kPa and 20C. The pressure is doubled during the constant volume heat addition process. Assuming constant specific heats, determine:the amount of heat transferred to the air

answer : 609.804 kj/kg

Explanation:

Given data:

compression ratio (r)= 9.2

pressure given(p1) = 98 kPa

Initial temperature =  20 + 273 = 293 k

pressure during constant volume heat addition process = 2p1

note : specific heat at constant pressure and specific heat at  constant volume varies with temperature

we use T = 300k because it is closest to T1 = 293 k

hence at T = 300 K ( ideal gas properties of air )

             [tex]u_{1}[/tex]   = 214.07 Kj/kg

            [tex]v _{r1}[/tex] = 621.2

To get  [tex]v_{r2}[/tex] = [tex]v_{r1} * \frac{v_{2} }{r}[/tex] = 621.2 * 1 / 9.2 = 67.52

ALSO    at [tex]v_{r2}[/tex] = 67.52 ( from ideal gas properties )

                [tex]u_{2}[/tex] = 518.9 kj/kg

                T2 = 708.32 k

next we apply the gas equation

[tex]\frac{p1v1}{T1} = \frac{p2v2}{T2}[/tex]

hence  p2 = (9.2) * [tex]\frac{708.32}{293} * 98[/tex] = 2179.59 kpa

to determine T3  due to the constant volume heat addition

[tex]\frac{T3}{T2} = \frac{P3}{P2}[/tex]

Hence T3 = p3/p2 * T2 = 2( 708.32 ) = 1416.64 k

At T3 = 1416.64 k ( from ideal gas properties )

[tex]u_{3}[/tex] = 1128.704 kj/kg

[tex]v_{r3}[/tex] = 8.592

Determine the amount of heat transferred to the air

[tex]q_{in} = ( u_{3} - u_{2} )[/tex]

     = ( 1128.704  - 518.9 )

     = 609.804 kj/kg

Three single-phase loads in parallel are supplied from a 1400V (RMS), 60 Hz supply. The loads are as follows: Load 1: Inductive load: 125 kVA, 0.28 power factor Load 2: Capacitive load: 10 kW, 40 kVAR Load 3: Resistive load: 15 kW Find the total kW, kVAR, kVA, and supply power factor. (5 points) Find the capacitive correction (in kVARs) required to improve the power factor to 0.8 and calculate the supply current with this correction in place. (10 points) What is the least current that can service these three loads and how much compensation would it require

Answers

Answer:

The answer is below

Explanation:

[tex]\theta_1=cos^{-1}0.28=73.74^o\ lagging\\\\S_1=125\angle 73.74^o=35\ kW+j120\ kVAR\\\\S_2=10\ kW-j40\ kVAR\\\\S_3=15\ kW[/tex]

Total power = P = 35 kW + 10 kW + 15 kW = 60 kW

Total kVAR = 120 kVAR - 40 kVAR = 80 kVAR

[tex]Total\ apparent \ power =S= S_1+S_2+S_3=(35+j120)+(10-j40)+(15)\\\\S=60\ kW+j80\ kVAR=100\angle 53.13^o\\\\Current(I)=\frac{S^*}{V^*} \frac{100000\angle -53.13^o}{1400\angle0}=71.43\angle-53.13^o\\ \\Power\ factor (PF)=cos(53.13)=0.6\ lagging\\\\The \ new\ power\ factor\ is\ to \ be\ 0.8[cos^{-1}0.8=36.87^o], hence\ since\ the\ total\ \\real\ power(P)= 60\ kW, the\ capacitor\ kVAR(Q_c)\ is:\\\\Q_c=60tan(53.13)-60tan(36.87)=80-45=35\ kVAR\\\\[/tex]

[tex]C=\frac{Q_c}{wV^2} =\frac{35000\ VAR}{2\pi*60\ Hz*1400\ V}=47.38\ \mu f[/tex]

New current (I') = [tex]\frac{S'^*}{V^*}=\frac{60000-j45000}{1400}=53.57\angle-36.87^o[/tex]

Current reduce from 71.43 A to 53.57 A

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What are the three forms of active transport? I need help thank you Did Katsuki Bakugou die in mha? It costs $15 to send 3 packages through a certain shipping company. Consider the number of packages per dollar Which of the following groups founded Harvard University? the Pilgrims the Separatists the Puritans the Anglicans Calculate the volume of a 5-g sample of pure gold Two trains, each having a speed of 33 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of on train when they are 60 km apart and heads directly for the other train. On reaching the other train, the (crazy) bird flies directly back to the first train, and so forth. What is the total distance the bird travels before the trains collide? How does the Wife of Bath view the relationship between men andwomen according to lines 66-72? Which term refers to the way a composition is constructed? Answer is form Apex Directions:Choose three cardiovascular activities from the list in the lesson or discuss with your teacher other cardiovascular activities that you would like to do. Example: rollerblading.Complete a warm-up before and a cool-down after each activity.Answer the reflection questions following each cardiovascular activity.Warm-up:Cardiovascular Activity 1:Cool-down:Use the Talk Test to check the safety level of your cardiovascular activity.Reflection Questions:Did you pass the Talk Test during this activity?If yes, could you talk while exercising for the whole activity? If no, what did you do to safely lower your exercise level?What benefits do you think you are getting by doing this activity?Warm-up:Cardiovascular Activity 2:Cool-down:Use the Talk Test to check the safety level of your cardiovascular activity.Reflection Questions:Did you pass the Talk Test during this activity?If yes, could you talk while exercising for the whole activity? If no, what did you do to safely lower your exercise level?What benefits do you think you are getting by doing this activity?Warm-up:Cardiovascular Activity 3:Cool-down:Use the Talk Test to check the safety level of your cardiovascular activity.Reflection Questions:Did you pass the Talk Test during this activity?If yes, could you talk while exercising for the whole activity? If no, what did you do to safely lower your exercise level?What benefits do you think you are getting by doing this activity? Martin operates a law practice as a sole proprietorship using the cash method of accounting. Martin incorporates the law practice and transfers the following items to a new, solely owned corporation.Adjusted BasisFMVCashEquipmentAccounts receivableAccounts payable (deductible expenses)Note payable (on equipment)$10,000 80,000 0 0 50,000$ 10,000 100,000 120,000 60,000 50,000Martin must recognize a gain of ________ and has a stock basis of ________: Simple carbohydrates are called ___________________.Group of answer choicesMonosaccharidesstarchPolysaccharidesDisaccharides 6 more than the quotient of 9 and f Who is the first president of United States What factors contributed to the development the Arab Empire? During a rainstorm, when atoms absorbed by soil from weathered sedimentary rock are washed into a nearby lake, some of the atoms come in contact with similar atoms from fertilizers anddetergents. An algal bloom results. Which cycle is described by this sequence of events? Hydrologic cycleCarbon cyclePhosphorus cycleNitrogen cycle Accomplishments, Leaders, Cultural Traits of Sumer (Mesopotamia). pls help me 20 points how wide is a mouses skin cell Ik this is rlly easy im just to lazy to do it