Fluid fills the space between two parallel plates. The differential equation that describe the instantaneous fluid velocity for unsteady flow with the fluid moving parallel to the walls is rho partial differential u/partial differential t = mu partial differential^2 u/partial differential y^2 The lower plate is stationary and the upper plate oscillates in the x-direction with frequency omega and an amplitude in the plate velocity of U. Use the characteristic dimensions to normalize the differential equation and obtain the dimensionless groups that characterize the flow.
Answers
The normalized differential equation is:\((1 / v) * (partial u / partial t) = (partial^2 u / partial y^2)\)
To obtain the dimensionless groups that characterize the flow, we will first normalize the differential equation provided in the student question using characteristic dimensions. The given equation is:
ρ \((partial u / partial t) =\) μ \((partial^2 u / partial y^2)\)
Step 1: Identify the characteristic dimensions
The characteristic velocity is U (amplitude of the plate velocity), the characteristic length is the distance between the plates (let's denote it as H), and the characteristic time is \(H^2 / (2 * pi * omega)\).
Step 2: Define dimensionless variables
Let \(u* = u / U, y* = y / H, and t* = t * (2 * pi * omega) / H^2.\)
Step 3: Replace the original variables with dimensionless variables in the equation
ρ \((U / H^2 * partial u* / partial t*) =\) μ \((U / H^2 * partial^2 u* / partial y*^2)\)
Step 4: Simplify the equation
ρ * (partial u* / partial t*) = mu * (partial^2 u* / partial y*^2)
Step 5: Divide both sides by mu
(ρ / μ) \(* (partial u* / partial t*) = (partial^2 u* / partial y*^2)\)
Step 6: Identify the dimensionless groups
There is one dimensionless group in the equation: the ratio (ρ / μ), which is the inverse of the kinematic viscosity \((1 / v)\).
So, the normalized differential equation is:
\((1 / v) * (partial u* / partial t*) = (partial^2 u* / partial y*^2)\)
The dimensionless groups that characterize the flow are \(u*, y*, t*, and (1 / v)\).
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Related Questions
whereas a master of science (ms) program prepares students to perform information security work, a master of business administration (mba) program prepares students to manage and maintain the people and environment of information security.
Answers
A Master of Science (MS) program in information security is typically focused on providing students with advanced technical skills and knowledge in the field of information security.
What is taught in MS in information security is?This may include topics such as computer systems and network security, cryptography, data security, and risk management. An MS program in information security is typically geared towards preparing students to perform information security work, such as designing and implementing security systems, conducting security assessments, and responding to security incidents.
On the other hand, a Master of Business Administration (MBA) program is typically focused on providing students with business and management skills and knowledge. This may include topics such as finance, marketing, operations, and strategy. An MBA program is typically geared towards preparing students to manage and maintain the people and environment of information security. This may include tasks such as developing and implementing security policies, managing security budgets, and leading security teams.
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write a program that takes a first name as the input, and outputs a welcome message to that name. ex: if the input is pat, the output is: hello pat and welcome to cs online!
Answers
The purpose of the program is to take a first name as input and output a welcome message including that name.
What is the purpose of the program described in the paragraph?To create a program that takes a first name as input and outputs a welcome message, we can use a programming language such as Python or Java.
In Python, we can use the input() function to read the name entered by the user and then print a welcome message using the print() function.
Here is an example Python program that takes a first name as input and outputs a welcome message:
# Prompt user to enter their first name
name = input("Enter your first name: ")
# Print the welcome message
print("Hello " + name + " and welcome to CS online!")
In Java, we can use the Scanner class to read the name entered by the user and then use the System.out.println() method to print the welcome message. Here is an example Java program that does the same thing:
import java.util.Scanner;
public class WelcomeMessage {
public static void main(String[] args) {
// Create a Scanner object to read input
Scanner sc = new Scanner(System.in);
// Prompt user to enter their first name
System.out.print("Enter your first name: ");
String name = sc.nextLine();
// Print the welcome message
System.out.println("Hello " + name + " and welcome to CS online!");
}
}
In both cases, the program prompts the user to enter their first name, reads the input, and then prints a welcome message using the inputted name.
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The gage pressure measured as 2.2 atm, the absolute pressure of gas is 3.2 bar. Please determine the local atmospheric pressure in kPa.
Answers
Answer:
\(97.085\ \text{kPa}\)
Explanation:
\(P_{g}\) = Gauge pressure = 2.2 atm = \(2.2\times 101325=222915\ \text{Pa}\)
\(P_{abs}\) = Absolute pressure = \(3.2\ \text{bar}=3.2\times 10^5\ \text{Pa}\)
\(P_{atm}\) = Local atmospheric pressure
Absolute pressure is given by
\(P_{abs}=P_{atm}+P_g\\\Rightarrow P_{atm}=P_{abs}-P_g\\\Rightarrow P_{atm}=3.2\times 10^5-222915\\\Rightarrow P_{atm}=97085\ \text{Pa}=97.085\ \text{kPa}\)
The local atmospheric pressure is \(97.085\ \text{kPa}\).
Hearing protection is necessary when the noise cannot be controlled to safe level’s through other methods such as engineering controls or administrative controls. True or false
Answers
Answer:
True.
Explanation:
what is the division of demand
Answers
you are trying to calculate the area of a rectangle given a width and a get input from a user. the width and height need to be integers. the calculated square footage needs to be right-aligned in the line python \
Answers
In this example, we're using the format string "{:>5}" to right-align the calculated area with a width of 5 characters. The ">" symbol indicates right alignment, and the "5" specifies the width.
To calculate the area of a rectangle given a width and height, you can use the formula:
area = width * height
To get input from a user for the width and height, you can use the input() function in Python. Here's an example code snippet:
width = int(input("Enter the width of the rectangle: "))
height = int(input("Enter the height of the rectangle: "))
Note that we use int() to convert the input string into an integer, since we specified that the width and height need to be integers.
To right-align the calculated square footage in the line, you can use string formatting with the format() function. Here's an example code snippet:
area = width * height
output = "The area of the rectangle is: {:>5}".format(area)
print(output)
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1. Declare a variable named num with an
initial value of 0. Create a while loop that
will print "Keep going" as long as the value
of num is less than 5. Use window.alert()
for displaying the output.
2. Create a function named showProd that
returns the product of n1 and n2.
3. Using the new keyword, create an array
named info with three (3) values: your first
name, your nickname, and your last name.
Answers
The code to
Declare a variable and increment with a while loop until the variable is not less than 5Create a function that returns the product of two numbersUses the new keyword to create an arraywere written in JavaScript and are found in the attached images
Declaring a variableThe first code declares a variable called num and gives it an initial value of 0. It then enters a while loop that lauches a message box (using window.alert) to print the message "Keep going" as long as num remains less than 5.
If nothing is done within the loop to increment num towards the value 5, the loop will go on endlessly notifying the user to "Keep going".
So, an increment of 1 was added to the loop body to increment the variable num. This makes sure the loop terminates.
Creating a function that returns the product of two numbersHere, a function was created that receives two arguments (n1 and n2), then returns the product (n1 * n2)
Declaring an ArrayThis last code segment creates an array using the new keyword. The new keyword is generally used in constructing objects.
In this case the object constructed is an array having three strings;
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Determine the volume of a 6-foot cube.
Answers
The rate of change of the radius with time is a partial derivative of the rate of change of volume with time. At the instant the height of the cylinder is 6 feet is the radius is decreasing at a rate of approximately 4.634 ft./s.
What is the height of the cone?The height of the cone is 27 meters when the radius of the cone is 55 meters and the volume of the cone is 733 cubic meters.The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is increasing at a rate of 108 cubic meters per second.
Cones grow in size at constant rates of 9 meters per second for the radius and 1631 cubic meters per second for the volume.
Therefore, The height of the cone is 27 meters when the radius of the cone is 55 meters and the volume of the cone is 733 cubic meters.
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A utility company charges 8.2 cents/kWh. If a consumer operates a 60-W light bulb continuously for one day, how much is the consumer charged?
Answers
A utility company charges 8.2 cents/kWh. If a consumer operates a 60-W light bulb continuously for one day, he would charged 11.808 cents.
To calculate the amount of energy used, multiply the power by the length of time the bulb is on.
1.44 kWh is equal to W=pt=6024Wh=0.96kWh.
C = 8.2 cents multiplied by 0.96 to produce 11.808 cents.
There are 100 cents in a $1, hence a cent is one hundredth of a dollar. The cent, which equals one hundredth of the fundamental unit of currency, is also present in many other currencies, including those of the European Union, Estonia, and Hong Kong. Cent is derived from the Latin word centum, which means "hundred." Cent originally meant "one hundred" in Middle English, but by the 1600s it had changed to "one hundredth."
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giúp em làm câu này với ạ em cám ơn em cần gấp lắm
Answers
Answer:
the problem I see real people here to have that much respect that is not going in that direction or the best.
An earth station at latitude 30°S is in communication with an earth station on the same longitude at 30°N, through a geostationary satellite. The satellite longitude is 20° east of the earth stations. Calculate the antenna-look angles for each earth station and the round-trip time, assuming this consists of propagation delay only..
Answers
Suppose a manager of a certain mining company wants to determine the weekly food expenditure of the company’s employees. if there are 2,549 employees and the manager decided to use only 500 employees as a sample, who will be included in the sample? to help the manager make his decision, suggest a sampling technique to be used and state the whole process of selecting the participants
Answers
The sampling technique that can be used to selecting the participants will be a random sampling.
What is sampling?It should be noted that sampling simply a method in statistical analysis that predetermined observations are taken from the population.
In this case, the sampling technique that can be used to selecting the participants will be a random sampling. This is need to give everyone an equal chance of being selected.
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To successfully sum all integers in an array, what should the missing line of code be:
Java C#
public static int sum_array(int[] myArray,int start) {
if(start>myArray.length-1) {
return 0;
}
//What goes here?
} public static int sum_array(int[] myArray,int start) {
if(start>myArray.Length-1) {
return 0;
}
//What goes here?
}
Question 7 options:
return(sum_array(myArray,start+1));
return(myArray[start]+sum_array(myArray,start+1));
return(myArray[start]+sum_array(myArray,start));
return(myArray[start]+sum_array(myArray,start-1));
Answers
return(myArray[start] + sum_array(myArray, start + 1));
To successfully sum all integers in an array using the given code, the missing line of code should be:
Java:
```java
public static int sum_array(int[] myArray, int start) {
if (start > myArray.length - 1) {
return 0;
}
// Missing line of code:
return (myArray[start] + sum_array(myArray, start + 1));
}
```
C#:
```csharp
public static int sum_array(int[] myArray, int start) {
if (start > myArray.Length - 1) {
return 0;
}
// Missing line of code:
return (myArray[start] + sum_array(myArray, start + 1));
}
```
The correct option from the given choices is:
b. return(myArray[start] + sum_array(myArray, start + 1));
This line of code recursively adds the current element of the array (myArray[start]) to the sum of the remaining elements (sum_array(myArray, start + 1)).
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a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.
Answers
At 1.2mpa pressure and 50c
What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).
a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser
T2 = 46.29C - 5
T2 = 41.29C
Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg
(COP)r = 238/53
(Cop) = 4.490
Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.
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The lattice parameter of copper is 0.362 nanometer. The atomic weight of copper is 63.54 g/mole. Copper forms a fcc structure. Answer the following questions.
a. Volume the unit cell in cubic centimeters in cubic centimeters is:______
b. Density of copper in g/cm^3 is:________
Answers
Answer:
a) 4.74 * 10^-23 cm^3
b) 8.9 g/cm^3
Explanation:
Given data :
Lattice parameter of copper = 0.362 nM
Atomic weight of copper = 63.54 g/mole
Given that copper forms a fcc structure
a) Calculate the volume of the unit cell
V = a^3
= ( 0.362 * 10^-7 cm )^3 = 4.74 * 10^-23 cm^3
b) Calculate density of copper in g/cm^3
Density = ( n*A ) / ( Vc * NA) ----------- ( 1 )
where: NA = Avogadro's number = 6.022 * 10^23 atoms/mol
n = number of atoms per unit cell = 4
A = atomic weight = 63.54 g/mol
Vc = volume of unit cell = 4.74 * 10^-23 cm^3
Input values into equation 1
Density = 8.9 g/cm^3
when discussing electronic unit pumps; technician a says that eups characteristics include an individual camshaft for each pump, individual pumps for each cylinder, and incorporating high-pressure fuel lines. technician b says that a single camshaft is used to drive each each cylinders pump. who is correct?
Answers
A Mac E-Tech EUP fuel system uses high pressure pipes with identical item numbers for all of its Tech A high pressure lines.
What is EUP fuel system?Each cylinder in this employs an injection pump. This pump and the nozzle are connected by a fuel line. Due to its use of shorter gasoline lines than other systems, the EUP gained popularity. As a result, the injector and cylinder were nearer to the injection pump.This is the engine of our diesel fuel injection lineup since it has stronger muscle than mechanical pumps. For performance under pressure, Delphi electronic unit pumps are ready to win huge points. works in conjunction with mechanical or smart Delphi injectors.One of the most well-known commercial diesel engines ever is the Mack E7 Engine. The Mack E7 Engine's dependability and fuel efficiency attracted both large- and small-scale operations.To learn more about EUP fuel system, refer to:
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Question about transformers and generators
Answers
Answer:
woah
Explanation:
Discuss on forced convection heat transfer with real examples.
Answers
Answer:
forced convection
Explanation:
When a fan, pump or suction device is used to facilitate convection, the result is forced convection. Everyday examples of this can be seen with air conditioning, central heating, a car radiator using fluid, or a convection oven.
Hard steering can be caused by
Answers
Answer:
Lack of fluid oil – lack of fluid oil in your vehicle, or a fluid leakage, can lead to heavy steering. If there is a lack of fluid oil, or a leak, this can reduce the pressure in the system, meaning the steering wheel does not receive enough supply of fluid to perform freely.
(TCO 6) A cable company is running a fiber-optic link between the head end and a neighborhood five miles away. The signal applied to the fiber goes through an optical connector having 3dB LOSS at the head end, the fiber has a LOSS of 1 dB, and the connector at the end of the fiber has a LOSS of 3 dB before being applied to an amplifier used to make up for the losses. The desired signal at the output of the amplifier is 10 dBm, and the signal level applied to the fiber connector at the head end is 10 dBm. What should the gain of the amplifier be to have 10 dBm at the output of the neighborhood amplifier
Answers
Answer:
7 dB
Explanation:
The total loss from the headend to the amplifier input is the sum of the losses along the fiber, that we simply add as they are in dBs:Total Loss = 3 dB + 1 dB + 3 dB = 7 dBThe signal at the amplifier input is just +10 dBm- 7 dB = +3 dBmSo as the output level at the Headend and the one at the output of the neighborhood amplifier must be equal each other (compensating all losses in the path), the amplifier gain must be equal to the cumulative loss, i.e. , 7 dB, so that the amplifier output level be + 10 dBm.what does kichfoff's currebt law
Answers
Answer:
Kirchhoff's current law (1st Law) states that the current flowing into a node (or a junction) must be equal to the current flowing out of it
Explanation:
For the three-point bending test set up in this lab, what would be the shear force and moment distributions along the beam axis
Answers
Answer: So to calculate the flexural strength (σ), multiply the force by the length of the sample, and then multiply this by three. Then multiply the depth of the sample by itself (i.e., square it), multiply the result by the width of the sample and then multiply this by two
Explanation:
power pro technology 1000 watt generator states it's powered by a 2 cycle engine and it's a ohv ....how can it be both
Answers
Small electrical loads can be powered by a portable generator with a total output of 1000 watts. Cell phones, laptops, tiny televisions, and some outlets fall under this category. Led lights and very small utility loads, such as dc water pumps, will also be powered by it. A larger size power output is required for heavier loads, such as appliances.
What is Generator?
In electricity generation, a generator is a device that converts motive power or fuel-based power into electric power for use in an external circuit. Sources of mechanical energy include steam turbines, gas turbines, water turbines, internal combustion engines, wind turbines and even hand cranks.
A two-stroke engine uses two strokes of the piston to complete a power cycle in just one crankshaft rotation. In a 2-stroke engine, the intake and exhaust processes also occur simultaneously with the end of the combustion stroke and the start of the compression stroke.
Activating Your Generator:
Open the gasoline valve. Turn on the gasoline valve.switch on choke. The choke rod should be moved from right to left.On the engine switch or the ignition. The switch on many generators must be flipped in order for the engine to start.Pull the recoil cord.Set the engine choke to "run" after it has started.Learn more about generator click here:
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Design a counter that counts the following sequence of 2-0-1-3 and repeat.
Answers
Answer:
Hello your question is incomplete below is the complete question
Design a counter that counts the following sequence of 2-0-1-3 and repeat. Use the JK flip-flops given to you at the start of the semester. These values will be displayed on a seven-segment display like the one used in Lab 3
answer : attached below
Explanation:
Designing a counter that counts in a given sequence can be done using Logic gates that will be used to control the counter. we will design the counter using the 7 segment display
Note : The first Image is the segment display and the second image is the design of the counter
1. Plot the normal and shear components of stress on the fictitious element relative to (1) Cartesian coordinator system, (2) a cylindrical coordinator system, and (3) a spherical coordinate system. Note: Your drawing should be by hand and in a 3D manner. Write the stress notation in matrix form for three coordinator systems. Explain the biological motivations for using the above three coordinator systems.
Answers
Answer:
d
Explanation:
What is the difference between proportional and proportional integral controller?
Answers
Explanation:
Proportional control resists error by applying an opposing influence that is proportional to the error.
Integral control detects and corrects trends in error over time. Derivative control detects and resists abrupt changes in the system.
hopefully this helps! :)
; How do engineers make a difference in the world and with proof ?
Answers
Determine the real roots of f (x) = −0.6x2 + 2.4x + 5.5:(a) Graphically.(b) Using the quadratic formula.(c) Using three iterations of the bisection method to determinethe highest root. Employ initial guesses of xl = 5 and xu = 10.Compute the estimated error εa and the true error εt after eachiteration.
Answers
The three methods used to find the real roots of the function are,
graphically, the quadratic formula, and by iteration.
The correct vales are;
(a) Graphically, the roots obtained are; x ≈ -1.629, and 5.629
(b) Using the quadratic formula, the real roots of the given function are; x ≈ -1.62589, x ≈ 5.62859
(c) Using three iterations, we have; the bracket is \(x_l\) = 5.625, and \(x_u\) = 6.25
Reasons:
The given function is presented as follows;
f(x) = -0.6·x² + 2.4·x + 5.5
(a) The graph of the function is plotted on MS Excel, with increments in the
x-values of 0.01, to obtain the approximation of the x-intercepts which are
the real roots as follows;
\(\begin{array}{|c|cc|}x&&f(x)\\-1.63&&-0.00614\\-1.62&&0.03736\\5.62&&0.03736 \\5.63&&-0.00614\end{array}\right]\)
Checking for the approximation of x-value of the intercept, we have;
\(x = -1.63 + \dfrac{0 - (-0.00614)}{0.0376 - (-0.00614)} \times (-1.62-(-1.63)) \approx -1.629\)
Therefore, based on the similarity of the values at the intercepts, the x-
values (real roots of the function) at the x-intercepts (y = 0) are;
x ≈ -1.629, and 5.629
(b) The real roots of the quadratic equation are found using the quadratic
formula as follows;
The quadratic formula for finding the roots of the quadratic equation
presented in the form f(x) = a·x² + b·x + c, is given as follows;
\(x = \mathbf{ \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}}\)
Comparison to the given function, f(x) = -0.6·x² + 2.4·x + 5.5, gives;
a = -0.6, b = 2.4, and c = 5.5
Therefore, we get;
\(x = \dfrac{-2.4\pm \sqrt{2.4^{2}-4\times (-0.6)\times 5.5}}{2\times (-0.6)} = \dfrac{-2.4\pm\sqrt{18.96} }{-1.2} = \dfrac{12 \pm\sqrt{474} }{6}\)
Which gives
The real roots are; x ≈ -1.62859, and x ≈ 5.62859
(c) The initial guesses are;
\(x_l\) = 5, and \(x_u\) = 10
The first iteration is therefore;
\(x_r = \dfrac{5 + 10}{2} = 7.5\)
\(Estimated \ error , \ \epsilon _a = \left|\dfrac{10- 5}{10 + 5} \right | \times 100\% = 33.33\%\)
\(True \ error, \ \epsilon _t = \left|\dfrac{5.62859 - 7.5}{5.62859} \right | \times 100\% = 33.25\%\)
f(5) × f(7.5) = 2.5 × (-10.25) = -25.625
The bracket is therefore; \(x_l\) = 5, and \(x_u\) = 7.5
Second iteration:
\(x_r = \dfrac{5 + 7.5}{2} = 6.25\)
\(Estimated \ error , \ \epsilon _a = \left|\dfrac{7.5- 5}{7.5+ 5} \right | \times 100\% = 20\%\)
\(True \ error, \ \epsilon _t = \mathbf{\left|\dfrac{5.62859 - 6.25}{5.62859} \right | \times 100\%} \approx 11.04\%\)
f(5) × f(6.25) = 2.5 × (-2.9375) = -7.34375
The bracket is therefore; \(x_l\) = 5, and \(x_u\) = 6.25
Third iteration
\(x_r = \dfrac{5 + 6.25}{2} = 5.625\)
\(Estimated \ error , \ \epsilon _a = \left|\dfrac{5.625- 5}{5.625+ 5} \right | \times 100\% = 5.88\%\)
\(True \ error, \ \epsilon _t = \mathbf{\left|\dfrac{5.62859 - 5.625}{5.62859} \right | \times 100\%} \approx 6.378 \times 10^{-2}\%\)
f(5) × f(5.625) = 2.5 × (0.015625) = 0.015625
Therefore, the bracket is \(x_l\) = 5.625, and \(x_u\) = 6.25
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when electric power is transmitted over long distance, line losses can be reduced by generating AC rather than DC voltage and by transmitting?
Answers
When electric power is transferred over a long distance then, line loss can be reduced by high voltage and low current. Thus, option A is correct.
What is electric power?The complete question is attached to the image below.
The electric circuit transfers the electric current then it is called electric power. The loss in the line over a larger distance is reduced by transferring AC instead of DC voltage.
The AC transmitted is of high voltage, and the power is low. The equation for current is given,
P = VI
The increase in the voltage causes the decrease in the current and in turn the resistance also reduces resulting in the loss of the power of the circuit to decrease.
Therefore, the loss is reduced by transferring high voltage and, low current AC.
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what is workshop technology
Answers
Answer:
Workshop technology is the type of technology which deals with different processes by which component of a machine or equipment are made. Its purpose is that the module unit is designed to equip the trainee with knowledge, skills, and attitudes that enable to perform basic workshop tasks.