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Archy [21]
3 years ago
13

Consider an AC circuit consisting of a power supply and a resistor. If the current in the circuit at time t is /, then the power

delivered to the resistor is /, where R is the resistance. Express the power in terms of cos 2wt
Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

P ( t ) = Io^2*R*0.5* (1 - cos ( 2wt) )

Step-by-step explanation:

Given:-

- The given current at time t, with maximum current supplied (Io) is:

                                 I(t) = Io*sin(tw)

Find:-

The power P in terms of cos (2wt)

Solution:-

- The formula for power (P) in an AC circuit is given by the expression:

                               P ( t ) = [I(t)]^2*R

                               P ( t ) = [Io*sin(tw)]^2 *R

                               P ( t ) = Io^2*R*sin(tw)^2

- We will use cos (2w) : Double angle formula as follows,

                              [sin(wt)]^2 = 0.5* (1 - cos ( 2wt) )

- Substituting in our power expression we have:

                             P ( t ) = Io^2*R*0.5* (1 - cos ( 2wt) )

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X² - 36= x² - y²= 100 - a²= c² - 9/49=
bixtya [17]

Answer:

78

Step-by-step explanation:

i am using my sisters account hehe thats what u get for taking a shortcut boyyyyyyyyyy

7 0
3 years ago
Express the recurring decimal 0.042 as a fraction in its simplest form.
rodikova [14]

Answer:

7/165

Step-by-step explanation:

This is a mixed recurring decimal (the zero is not repeating)

We take number after the decimal point     042

then we subtract  the non repeating.In this case is 0 so we not subtract anything

This will be the numerator  42

Now ,the denominator:

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990  =  7/165

7:165 = 0.0424242......

5 0
3 years ago
Please show ur work ty so much I appreciate it if u rlly help me
KengaRu [80]
The answer is going to be A!!!
8 0
3 years ago
Read 2 more answers
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
motikmotik
Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
        -42          -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
4 0
3 years ago
Read 2 more answers
Plot a graph for the following data recorded for an object falling from rest
shusha [124]
  1. The kind of curve obtained is linear.
  2. The relationship between the variables is direct variation.
  3. After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  4. The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

  • The kind of curve obtained is linear.
  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
2 years ago
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