A condenser accepts steam from the turbine in problem 2 at a pressure of 2.34 kPa. Saturated water at the same pressure leaves the condenser. (Note: 20 C is the saturation Temperature for 2.34 kPa)) a. Give P, v, u, h and s for the saturated liquid water leaving the condenser. b. How much heat leaves the condenser per kg of steam? c. What is the heat transfer rater from the condenser, assuming a water flow of 1 kg/s,

Answers

Answer 1

Answer:

The answer is "83.98, 1889.195, and 1889.195"

Explanation:

Given value:

[tex]\bold{P_{4}=2.34 \ kPa}[/tex]

In point a:

The value of [tex]h_{f4}=83.915 \ \ \frac{Kj}{kg}\\[/tex]

[tex]V_4=0.001002 \ \ \frac{Kj}{kg}\\\\U_4= 83.98 \ \ \frac{Kj}{kg}\\\\[/tex]

In point b:

calculating heat leaves formula= [tex]h_3-h_{f4}[/tex]

                                                      [tex]= 1973.11-83.915\\\\= 1889.195 \ \ \frac{KJ}{kg}[/tex]

In point c:

calculating Heat transfer rate formula[tex]=m(h_3-h_4)[/tex]

                                                              [tex]= 1(1889.195)\\\\ = 1889.19 \ \ kw.[/tex]


Related Questions

Eleanore Rigby picks up the rice in the church after the wedding. Why she might she do this?

Answers

Explanation:

It gives her a sense of purpose.

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

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........

What are sketches or technical drawings called

Answers

Answer:

Technical drawing, also known as drafting or draughting, is the act and discipline of making detailed drawings. These drawings visually communicate how something works or how it is to be made.

Draughting is another term for sketches and technical drawings.

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

Answers

Answer:

To run. The machine one at a time

Explanation:

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

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

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

Which sentence best compares LCDs with CRTs

Answers

Answer:

LCDs consume less power than CRTs

Explanation:

The sentence that best compares LCDs with CRTs is that "LCDs consume less power than CRTs".

Recently, in many homes and offices, cathode ray tube (CRT) monitors are being replaced by liquid crystal display (LCD) monitors. There are some benefits that LCD panels offer over CRT monitors. Some of them are:

LCD monitors don't usually take up much space. They take less space than CRT monitors. Also, LCDs consume less power than CRT monitors. Which means that CRTs consume more power than LCDs. LCD monitors gives a much brighter image than CRT monitors .

In python code write a program that prompts the user to input two POSITIVE numbers — a dividend (numerator) and a divisor (denominator). Your program should then divide the numerator by the denominator, and display the quotient followed by the remainder.

Answers

Answer:

The python code for the given problem is written in explanation section.

Explanation:

The code for the given situation, in Python, can be written as follows:

x = int(input("Enter a positive number for dividend: "))

y = int(input("Enter a positive number for divisor: "))

quotient = x//y

remainder = x%y

print("The Quotient of the given calculation is:",quotient)

print("The Remainder of the given calculation is:",remainder)

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:

Which unit is used, when specifying a vehicle's height, length and width?
Meters







Millimeters
Kilometres
Centimeters

Answers

Answer:

Centimeters

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

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

which option identifies the AFNR pathway in the following scenarios? Jalal works for a prestigious golf course that hosts an annual PGA Tour event. His employers depend on him to use cutting-edge science and technology to prepare the course and maintain it with the utmost care.
A. Agricultural System
B. Plant System
C. Biotechnology System
D. Natural Resource System

Answers

Answer: C. Biotechnology system

Explanation:



The interactive activities in this course
A. will be tested in lesson quizzes but not the final exam
B. will be tested in the final exam but not the lesson quizzes
C. will be scored by your instructor
D. will not be score

Answers

The interactive activities for the course will be scored by the instructor.

Interactive activities

Interactive classroom activities are defined as the activities or interactive sessions which is a two way communications or discussions where the students involved also participate in discussions and interacts with the teacher or the instructor.

In some school curriculars, the interactive activities are scored and in some it is not scored.

For the particular course, the interactive sessions will be scored by the instructor.

Learn more :

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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.

Read related link on:

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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:

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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:

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)

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

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 are the benefits of using the engineering design process

Answers

Answer:

Some of the benefits are tangible for they are visible in the design and production process, while the other benefits are intangible which may not be visible directly but result in improvement in the quality of product, better control over designing and production process, reduction of stress on the designers etc.

he following is true for a Function Generator (select all that apply): Select one or more: a. It produces a variety of patterns of voltage in adjustable range of frequencies and amplitudes. b. Its main use is to provide input signals to circuits to test the response to known signals. c. It can deliver the set voltage level of the signal waveform to any load connected to its outputs without any attenuation. d. It can measure peak to peak voltage of sine waves. e. Some of common useful signal it can generate include sine, square, pulse, triangular, sawtooth waveforms.

Answers

Answer:

A,C and E

Explanation:

It should be understood that a function generator can be explained as a piece of electronic test equipment or software which is used in generating different types of electrical waveforms over a wide range of frequencies. It should be noted that some of the examples of waveforms produced by the function generator are the sine wave, square wave, triangular wave and sawtooth shapes.

Therefore, the reason why of picking the options as highlighted above.

If the driver gear has 10 teeth and is moving at 10 RPMs (revolutions per minute), at what speed would the driven gear move if it has 20 teeth?

Answers

Answer:

  5 rpm

Explanation:

Each turn of the driver gear moves 10 teeth past the point of engagement with the driven gear. That is half of the 20 teeth on the driven gear, so it makes 1/2 turn for each turn of the driver.

In 1 minute, the driver makes 10 turns, so the driven gear makes 5 turns. Its speed is 5 rpm.

Compute the solution to x +2x +2x =0. For x0 = 0 mm, v0 = 1 mm/s and write down the closed-form expression for the response.

Answers

Answer:

The answer is "[tex]\bold{e^{-t} \sin t}[/tex]"

Explanation:

Given equation:

[tex]\to x+2x+2x=0.............(a)[/tex]

Let x= e^{mt} be a solution of the equation will be:

[tex]\to m^2+2m+2=0[/tex]

compare the value with the  [tex]am^2+bm+c=0[/tex]

[tex]\to a= 1\\\to b= -2\\\to c= 2\\[/tex]

Formula:

[tex]\bold{=\frac{-b \pm \sqrt{b^2-4ac}}{2a}}\\\\=\frac{-2 \pm \sqrt{(-2)^2-4\times 1 \times 2}}{2 \times 1}\\\\=\frac{-2 \pm \sqrt{4-8}}{2}\\\\=\frac{-2 \pm \sqrt{-4}}{2}\\\\=\frac{-2 \pm 2i}{2}\\\\[/tex]

Calculate the g.s at equation (a):

[tex]\to x = e^{-t} (c_1 \cos t+ c_2 \sin t)............(b)\\\\\to x = e^{-t} (c_2 \cos t -c_1 \sin t) - e^{-t} (c_1 \cos t + c_2\sin t) ...............(c)\\\\[/tex]

[tex]_{when} \\\\\to t= 0\\\\\to x=x_0\\\\\to x= v_0 =1 \\\\ \ then \ form \ equation \ (b) \ and \ equation \ (c)[/tex]

[tex]\to a= 0 \\ \to c_2 -c_1 =1 \\ \to c_2=1[/tex]

The value of [tex]x = e^{-t} ( 0 \times \cos t + 1 \times \sin t)[/tex]

[tex]\boxed{\bold{x = e^{-t} (\sin t)}}[/tex]

why did my dad leave me yesterday like whatd i do?

Answers

Answer:

hmm i would try calling him. ask your mom or other adults where he is!

Explanation:

hope you get help soon!

Answer:

if he actually said that about the money, then do it. If its dirty money then get away. drug cartels or corrupt people will torture you just to get back at him, regardless if he even knows or if you did anything to them. If you are female, then yeah you really should run. its like the tv shows, but except, they dont have to keep it within movie standards.

Explanation:

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:

Identify the characteristics of parallel flow heat exchangers.
a. The hot and cold fluids enter the heat exchanger at opposite ends.
b. The hot and cold fluids move in the opposite direction.
c. The hot and cold fluids move in the same direction.
d. The hot and cold fluids enter the heat exchanger at the same end.

Answers

Answer:

A.

Explanation:

Determine the voltage across a 2-μF capacitor if the current through it is i(t) = 3e−6000t mA. Assume that the initial capacitor voltage is zero g

Answers

Answer:

[tex]v = 250[1 - {e^{-6000t}}][/tex] mV

Explanation:

The voltage across a capacitor at a time t, is given by:

[tex]v(t) = \frac{1}{C} \int\limits^{t}_{t_0} {i(t)} \, dt + v(t_0)[/tex]                 ----------------(i)

Where;

v(t) = voltage at time t

[tex]t_{0}[/tex] = initial time

C = capacitance of the capacitor

i(t) = current through the capacitor at time t

v(t₀) = voltage at initial time.

From the question:

C = 2μF = 2 x 10⁻⁶F

i(t) = 3[tex]e^{-6000t}[/tex] mA

t₀ = 0

v(t₀ = 0) = 0

Substitute these values into equation (i) as follows;

[tex]v = \frac{1}{2*10^{-6}} \int\limits^{t}_{0} {3e^{-6000t}} \, dt + v(0)[/tex]    

[tex]v = \frac{1}{2*10^{-6}} \int\limits^{t}_{0} {3e^{-6000t}} \, dt + 0[/tex]

[tex]v = \frac{1}{2*10^{-6}} \int\limits^{t}_{0} {3e^{-6000t}} \, dt[/tex]            

[tex]v = \frac{3}{2*10^{-6}} \int\limits^{t}_{0} {e^{-6000t}} \, dt[/tex]             [Solve the integral]

[tex]v = \frac{3}{2*10^{-6}*(-6000)} {e^{-6000t}}|_0^t[/tex]

[tex]v = \frac{-3000}{12} {e^{-6000t}}|_0^t[/tex]

[tex]v = -250 {e^{-6000t}}|_0^t[/tex]

[tex]v = -250 {e^{-6000t}} - [-250 {e^{-6000(0)}][/tex]

[tex]v = -250 {e^{-6000t}} - [-250][/tex]

[tex]v = -250 {e^{-6000t}} + 250[/tex]

[tex]v = 250 -250 {e^{-6000t}}[/tex]

[tex]v = 250[1 - {e^{-6000t}}][/tex]

Therefore, the voltage across the capacitor is [tex]v = 250[1 - {e^{-6000t}}][/tex] mV

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