The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source

The Total Source Voltage In The Circuit Is 6-3i V. What Is The Voltage At The Middle Source

Answers

Answer 1

Answer:

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

Step-by-step explanation:

Voltage Sources in Series

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

[tex]2 + 6\mathbf{i}[/tex]

[tex]a + b\mathbf{i}[/tex]

[tex]2 - 5\mathbf{i}[/tex]

The sum of these voltages is:

[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]

Operating:

[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]

We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:

[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

Answer 2

The voltage at the middle source is;

E2 = (2 + 4i) V

From the image, we see the voltage at each point as;

E1 = (2 + 6i) V

E2 = (a + bi) V

E3 = (2 - 5i) V

The given voltages are in series and as such the total voltage will be;

E_t = E1 + E2 + E3

We are told that the total source voltage is (6 - 3i)V. Thus;

(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)

Rearranging gives;

(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)

(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i

(a + bi) = 2 - 4i

The middle source voltage is E2 = (a + bi) V. Thus;

E2 = 2 - 4i

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Related Questions

a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag

Answers

Answer:

[tex]Expected\ Value = 3[/tex]

Step-by-step explanation:

Given

[tex]Red\ Balls = 3[/tex]

[tex]Blue\ Balls = 1[/tex]

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]

[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]

[tex]P(Red\ Ball) = \frac{3}{4}[/tex]

[tex]P(Red\ Ball) = 0.75[/tex]

The expected value is then calculated as:

[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]

[tex]Expected\ Value = 0.75 * 4[/tex]

[tex]Expected\ Value = 3[/tex]

50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m​

Answers

9514 1404 393

Answer:

  d.  50 x 10^-2 m​

Step-by-step explanation:

"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...

  50 cm = 50×10^-2 m

Anna divided a sheet of paper into 5 equal sections in color 3 of the sections blue what percent of the paper did she color​

Answers

60/100 is 3/5 so Anna colored 60% of the paper blue

correct answer please
find the answer choices​

Answers

Answer:

Love and support from parents and respect parents

Being a positive role model to everyone and understands friends weaknesses

Compares body to others and obsessed about weight loss

Communicate well with parents and cooks food and do chores

Guidance on decision making in whatever situation and positive friendship

Knowledgeable on teenage health issues and admits faults

Step-by-step explanation:

I figured this out by matching the statements to the correct ending and if there was any I was unsure on I worked that out afterwards.

There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?

Answers

4 buses you just divide 211 by 48

Consider the following patter: -18, X, -10, -6, -2
The value of x in this pattern is

Answers

Answer:

-14

Step-by-step explanation:

(-6)-(-2)= -4

(-10)-(-6)= -4

therefore there is a 4 number Gap between them:

(-10) + (-4) = -14

PLS HELP IM IN THE MIDDLE OF A TEST PLSSSSSSSSSSSSSSSSSS AND GIVE ME THE RIGHT ANSWER PLSSSSSSS.

Answers

-1/2 dumb buchhhhhhhhhhhhhhhhh
It’s A, -1/2.

Hops that helps

8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?

Answers

Answer:

OK

Step-by-step explanation:

LOL SO WHAT I . DID

IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3

name the property shown by each statement: d x e x 0 = 0

Answers

Answer:

Commutative Property of Multiplication. Associative Property of Multiplication.

Step-by-step explanation:

et.
n
4. Elena's account balance with her parents is
-$5.50. She adds a certain amount of
money to her balance by mowing the lawn.
Elena now has an account balance less than
$20. Determine a possible amount she
earned mowing the lawn. Then interpret the
solution. (Example 1) moll end to bi

Answers

Answer:

-$5.50>x>$20

Elena has more than -$5.50 but less than $20.

Step-by-step explanation:

Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.

Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.

All they give us is that Elena has less than $20 in her bank account.

So your answer may look like this:

-$5.50>x>$20

Elena has more than -$5.50 but less than $20.

Elena earned, amount more than -$5.50 and less than $20 by mowing the lawn.

What is Inequality?

If two real numbers or the algebraic expressions are related by the symbols>”, “<”, “”, “”, then the relation is called an inequality.

For example, x>3 (x should be greater than 3)

Given,

Account balance of Elena with her parents = -$5.50.

Which means she is in debt of $5.50.

Elena then  adds a certain amount of money to her balance by mowing the lawn,

which may have paid off her debt, that is not sure.

But,

Account balance of Elena after mowing the lawn is more than - $5.50 less than $20.

Let the money Elena earned by Elena earned mowing the lawn  = x

Then,

Possible amount she earned mowing the lawn = -$5.50 < x <$20.

Hence, Possible amount Elena earned mowing the lawn is

between -$5.50 and $20 = -$5.50 < x < 20.

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The sum of two numbers is
60
and the difference is
10
. What are the numbers?

Answers

Answer:

35 and 25.

Step-by-step explanation:

x+y=60

x-y=10

Subtract eq1 by eq2

x-x+y-(-y) = 60-10

2y=50

y=25.

x+25=60

x=35

Hope this helps :D

#Team Rainbows

Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M

Answers

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

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2x+5y=10

x intercept=

y intercept=​

Answers

Answer:

x= 0/-8

y= 0/5

Step-by-step explanation:

Brain-List?

CAN ANYONE HELP ME FIND THE ANSWERS TO QUESTION 2 !? ASAP .. DUE IN 15 MINS :(

Answers

Omg if I had my TI calculator I could help you !!

WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for ​$ 2.95 per pound and s pounds of sugar for ​$0.72 per​ pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s

Answers

Answer:

1pound of granola= $3.25

g pound of granola=g*3.25

=3.25g$

1 pound of flour = 0.74$

f pound of flour = f*0.74

= 0.74f$

The expression to determine the total cost of buying the above items= (3.25g+0.74f)

Step-by-step explanation:

| 11-2 |
Please help me with this

Answers

Answer:

The answer is 9

Step-by-step explanation:

brainiest because im in a brother war please

I really need help asap with this math homework,
It is due tonight.

Answers

Answer:1920

Step-by-step explanation:

Sorry if this is not accurate but here is how your gonna do it

Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D

Select the correct answer.
Which inequality represents all the solutions of -2(3x+6) = 4(x +7)

Answers

the answer is -4 sndndndnd

Identify the solutions (roots) of the function y=x2 + 2x - 3​

please help

Answers

Answer:

x=1,-3

Step-by-step explanation:

Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)

Answers

Answer:

the first one on the list because it said refect

please solve 2x^2 -4x - 48 = 0

Answers

Answer:

-4, 6

Step-by-step explanation:

[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]

Use the table to answer the following question.
Х
0
1
2
3
y
8
1
-6
-13
What is an equation that describes the relationship?
0
A. y = 8 - 7x
B. y = 7x + 8
O
C. y = 7x - 8
D. y = 8x - 7

Answers

the answer is option A

If using the method of completing the square to solve the quadratic equation
x2 – 9x + 38 0, which number would have to be added to "complete the
square"?
=

Answers

Answer:

81/4

Step-by-step explanation:

Given the equation x^2 – 9x + 38 = 0

Subtract 38 from both sides

x^2 – 9x + 38 - 38= 0 - 38

x^2 - 9x = -38

Next is to complete the square, to do this  we will add the square of the half of coefficient of x to both sides as shown;

Coefficient of x is - 9

Half of -9 will be (-9/2)

Squaring the result will give (-9/2)² = 81/4

Hence the number that would have to be added to "complete the

square" is 81/4 to have;

x^2 - 9x + 81/4= -38 + 81/4

(x-9/2)² = -38 + 81/4

Hence the required value is 81/4

For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5

Please explain in detail I am very confused about the whole thing thx for ur help in advance :)

Answers

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail.
(a) What percent of values must be chopped off from each tail for a 95% confidence interval?
(b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?

Answers

Answer:

a

 [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

b

  [tex]N = 25[/tex]

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]

=>    [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      [tex]N = 1000 * \frac{\alpha }{2}[/tex]

=>   [tex]N = 1000 * 0.025[/tex]

=>   [tex]N = 25[/tex]

     

Answer:

Step-by-step explanation:

Hey

The probability distribution below shows the number of kittens in a litter, Find the probability that a cat will have at most 4 kittens * 7 points

Answers

The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

Calculation of the probability;

= Probability of 2 + Probability of 3 + Probability of 4

= 0.20 + 0.35 + 0.28

= 0.83

Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

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The probability that a cat will have at most 4 kittens is 0.83

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of kittens in the litter be = A

Now , when A = 2

The probability distribution is = 0.20

Now , when A = 3

The probability distribution is = 0.35

Now , when A = 4

The probability distribution is = 0.28

Now , when A = 5

The probability distribution is = 0.15

And , the probability that a cat will have at most 4 kittens is calculated by

P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )

               = 0.20 + 0.35 + 0.28

               = 0.83

Therefore , the probability that a cat will have at most 4 kittens is 0.83

Hence , The probability that a cat will have at most 4 kittens is 0.83

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Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a
cup of lemonade, how many cups of lemonade did Carly use? Simplify your answer.

Answers

Answer:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

What is the measure of angle 7?

Answers

50 degrees is the answer
Angle 7 is 50 degrees

I need help please and thank you !

Answers

Answer:

1 1/8  2 1/4 - 1 1/8= 1 1/8

Step-by-step explanation:

Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3

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