The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Answers
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]
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
Which graph represents the equation y = x - 3
Answers
Answer:
b i did it
Step-by-step explanation:
Answer:
The correct answer is graph C.
Step-by-step explanation:
❌On a coordinate plane, a line goes through points (negative 3, 0) and (0, negative 3).
- the first point needs to be swapped in order to form x-3.
❌On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
- doesnt have a negative 3.
✔On a coordinate plane, a line goes through points (0, negative 3) and (3, 0).
- this answer has x as 0, and y as -3. which is equal to x-3.
I'm late but
The correct answer is shown9.
Here are Jason's scores on his science tests this year:
85, 91, 48, 98, 99, 91, 90, 84, 91, 87, 80
What is the mean absolute deviation of Jason's scores? (Round to the nearest thousandths place)
Answers
Answer:
85.818
Step-by-step explanation:
Which situation can be modeled using a linear function?
A) the population of yeast that doubles after every minute
B) the height of a projectile after it is launched
C) the distance covered by a car moving at a constant speed
D)the cost of a printing machine that depreciates every year at 2% per year
Answers
Answer:
the distance covered by a car at a constant speed
Hellpppp pls!!!!!!!!!!!!
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Answer:
2a+6b
Step-by-step explanation:
Answer:
6b + 2a
a + (a + 6b)
(a + 3b)2
PLEASE ANSWER IN 50 MIN I WILL MARK BRAINLIEST
a 2/3 cup full barrel of sand weighs 449 lbs. When the barrel is 1/2 full of sand, it weighs 348 lbs. When empty, the barrel weighs how much lbs
Answers
Answer:
174lbs
Step-by-step explanation:
I'm not positive but its my best shot
which following equal to forty and two hundred seventy four thousandsths?
A. 40.274
B.40.074
C.40.274
D.40.0274
Answers
Answer:
The answer to this question is C. 40.274.
find the slope please help!
Answers
Answer:
-1/5
Step-by-step explanation:
We are given 3 points, (-3, 1), (2, 0), and (3, 3). We only need two to solve for the slope using the formula [ y2-y1/x2-x1 ].
0-1/2-(-3)
-1/5
Best of Luck!
Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper. He says he has a ratio of boxes to dr. Pepper that is 6 to 3. How is he wrong
It has to do with ratios if that helps ♀️
Answers
Answer:
He is wrong
Step-by-step explanation:
In the beginning of the question it says,"Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper" and whatever comes first either its a ratio, fraction ect; the number in the question that comes first always comes first in anything.
(17-6 ➗ 2)+4 x 3
help a homie:(
Answers
marie wants to know the most popular car for parents. She plans to survey the people shopping at the used car lot from 10:00 a.m. to 11:00 p.m. Which statement below best reflects Marie's plan?
A. Marie's sample is valid.
B. Marie should also survey people entering the grocery stores.
C. Marie's sample is biased.
D. Marie should make sure she surveys both men and women.
Answers
Answer:
C Marie's sample is biased.
Step-by-step explanation:
It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11
Hope this helps!
Merry Christmas
Answer:
Give the other person brainliest.
Step-by-step explanation:
The other person is correct.
Find the length of the third side to the nearest tenth.
8
5
Answers
Answer:
The length of third side is: 6.3
Step-by-step explanation:
Given triangle is a right triangle where
Base = ?
Perpendicular = 5
Hypotenuse = 8
Let x be the base
As it is a right-angled triangle, Pythagoras theorem can be used to find the third side
[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]
Putting the known values
[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]
Taking square root on both sides
[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]
Rounding off to the nearest 10th
Base = 6.3
Hence,
The length of third side is: 6.3
Can some one help me please god bless you
25 points
Answers
Question 13 (1 point)
A jug contains 74.1 ounces of fruit punch. If the punch is evenly distributed to six people, how
many ounces will each person get?
oz.
Blank 1:
Answers
Answer:
each person gets 12.35oz
Step-by-step explanation:
74.1
6
=12.35
Answer:
12.35 oz
Step-by-step explanation:
74.1 divided by 6 equals 12.35
If m is a multiple of 20 then m is also a multiple of 10 true or false
Answers
Could someone help me
Answers
Answer:
its the last one
because the rest of them are wrong
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
6th grade math
(20 points)
Answers
Please answer this ASAP
Answers
9514 1404 393
Explanation:
1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given
2. ∆ABC is isosceles . . . . definition of isosceles triangle
3. BA ≅ BC . . . . definition of isosceles triangle
4. ∆BDA ≅ ∆BEC . . . . HL theorem
5. AC ≅ CE . . . . CPCTC
Help me with this today
Answers
Step-by-step explanation:
4×4 = 16
watch the unshaded area. its just like the curcle taken out from there so thats mean the area is equal to the area of square
3 1/9+2 1/4=
what is the answer
Answers
Step-by-step explanation:
log16^*+log4^*+log2^*=7
Answers
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Given
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Required
Solve for x
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Change base of 16 and base of 4 to base 2
[tex]\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7[/tex]
Express 16 and 4 as 2^4 and 2^2 respectively
[tex]\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7[/tex]
The above can be rewritten as:
[tex]\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7[/tex]
[tex]log_22 = 1[/tex]
So, we have:
[tex]\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7[/tex]
[tex]\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7[/tex]
Multiply through by 4
[tex]4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4[/tex]
[tex]log_2(x) + 2}log_2(x) + 4log_2(x) = 28[/tex]
[tex]7log_2(x) = 28[/tex]
Divide through by 7
[tex]\frac{7log_2(x)}{7} = \frac{28}{7}[/tex]
[tex]log_2(x) = 4[/tex]
Apply the following law of logarithm:
If [tex]log_ab = c[/tex] Then [tex]b = a^c[/tex]
So, we have:
[tex]x = 2^4[/tex]
[tex]x = 16[/tex]
A stadium has direct staffing costs of $108,000. Overhead costs (social security, medicare, worker's compensation, etc.) cost the stadium an additional 15%. What is the total staffing cost?
Answers
9514 1404 393
Answer:
$124,200
Step-by-step explanation:
We have ...
staffing cost = (direct cost) + 0.15·(direct cost)
staffing cost = (direct cost) · 1.15 = ($108,000)(1.15)
staffing cost = $124,200
12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per
week. Create a function, P, that gives the amount of money that john still owes Joan after
w weeks.
12 (b) John told Joan that he will have paid her back all of the money, after making
payments for 13 weeks.. Explain why John is incorrect?
Answers
Answer:
P = 80 - 6wStep-by-step explanation:
Initial amount = $80Payment each week = $6Required function:
P = 80 - 6wTime required to pay all money. At this time P = 0
0 = 80 - 6w6w = 80w = 80/6w = 13.33Since w > 13, John needs 14 weeks
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Answers
Answer:
The sign that makes the sentence true is an equal sign, =.
the picture is below
Answers
Answer:
b, c, e
Step-by-step explanation:
Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?
Answers
Answer: Each shelf is 2ft
Step-by-step explanation:
16 = (2 x 4) + 4s
16 = 8 + 4s
8 = 4s (subtract 8 from both sides)
8/4 = 4s/4 (divide both sides by 4)
2 = s
A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.
Answers
Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
find the values of a,b, or c for y = x^2 - 9x +18 please help!!
Answers
Answer:
It's X^1 = 3, x^2 =6
Step-by-step explanation:
Please someone help I will give lots of points for the brilliantest answer.
Answers
Answer:
5 + 3 = 8
10 + 6 = 16
15 + 9 = 24
No she will need a total of 48
Step-by-step explanation:
24 + 16 + 8 = 48
Answer:
25 liters blue for a total of 40.
The rest of the table is:
Blue: White: Total:
15 9 24
20 12 32
25 15 40
Step-by-step explanation:
I multiplied 8 times 5 to get 40 (the total amount of liters)
Then I also had to multiply 5 by 5 to balance out the equation, and got 25.
Let v represent the value of a bank acount, in thousands of dollars, t yearsaftertye account is opend at the bank
Answers
Answer:
could you explain it more
Step-by-step explanation:
Identify the next three numbers in this sequence
Answers
Explanation: the pattern is multiply by 4 then subtract 6.
Answer:
72,66,264
Step-by-step explanation:
