Answer:
voltage drop across 40Ω inductor is 41.2V
Step-by-step explanation:
We are given that a series RL circuit contains two resistors 27Ω, 47Ω and two inductors which have reactances 50Ω,40Ω.
Hence total resistance in the circuit =27+47=74Ω
Total reactance=50+40=90Ω
Since all of these elements are in series, same current goes through all the elements.
And that current I=[tex]\frac{E_{T}} {Z}[/tex]
Given Applied voltage,[tex]E_{T}=120V[/tex]
Hence [tex]I=\frac{120}{\sqrt{74^{2}+90^{2}}} =\frac{120}{\sqrt{13576}} =1.03A[/tex]
Therefore voltage drop on the inductor that has 40Ω of reactance=40X1.03
=41.196≈41.2V
Final answer:
The voltage drop on the inductor in a series RL circuit with a 40 Ω reactance is calculated using the total impedance and Ohm's Law to find the circuit current, which is then multiplied by the inductor's reactance. The calculated voltage drop is 41.2 V.
Explanation:
The student is dealing with an RL circuit and needs to calculate the voltage drop on an inductor with a given reactance in that circuit. In an RL circuit, the total impedance (Z) is found by combining the resistive (R) and inductive reactance (XL) components together, where R is the sum of individual resistances and XL is the sum of individual reactances. Since the components are in series, the total resistance would be R = 27 Ω + 47 Ω = 74 Ω and the total reactance would be
XL = 50 Ω + 40 Ω = 90 Ω.
The total impedance (Z) can be calculated using the Pythagorean theorem for the right triangle formed by R and XL:
= [tex]\sqrt{(74^2 + 90^2)[/tex]
= √(5476 + 8100)
= √(13576) ≈ 116.52 Ω.
With the total impedance known, we can find the current in the circuit (I) using Ohm's Law:
I = V/Z
= 120 V / 116.52 Ω
≈ 1.03 A.
The voltage drop across an individual inductor can be found by ∗ V = I * XL, where XL is the inductive reactance of the inductor in question. Therefore, the voltage drop for the inductor with a 40 Ω reactance is:
V = 1.03 A * 40 Ω
= 41.2 V.
This is the voltage drop on the inductor with a 40 Ω reactance.
Tom receive an allowance of 20 Dollars per week if he bought 3 comic books for 2.75 Dollars each and an action figure for 10.99Dollors how much of his allowance did he have left
20 - (3 * 2.75) - 10.99
20 - 8.25 - 10.99
12.75 - 10.99
1.76
What number + (-7) = 3
A number can be 10.
You can add 7 + 3 to get 10.
Answer:
10 is the correct answer
Step-by-step explanation:
(8,15) (-14,-3)
find the slope
The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11
convert 4 3/4 to an improper fraction:
to a decimal:
is this repeating or terminating a decimal?
4 3/4= 19/4=4.75 its a terminating decimal
maria ran 12 miles las week phoebe ran 60 miles last week how many times as far did phoebe run compared to the
5 times as far take 60 and divide by 12 and you get 5
Write an equation for :
She would put 1000.00 a year into an account starting on the babys 1st birthday
Hello Azzizigilchrist.
The equation of this question would be $1000x
x stands for the amount of years it has been
So if it has been 4 years, 1000 * 4 equals 4000
:)
theoretical probability and experimental probability are the same true or false?
Answer:
FALSE
Step-by-step explanation:
The statement 'theoretical probability and experimental probability are the same' is generally false. Theoretical probability is what we expect to happen, while experimental probability is based on actual results from experiments. With more trials, these two probabilities tend to get closer, thanks to the Law of Large Numbers.
Explanation:The statement 'theoretical probability and experimental probability are the same' is generally false. Theoretical probability is defined as the number of desired outcomes divided by the number of possible outcomes, assuming that all outcomes are equally likely. It is what we expect to happen in an experiment.On the other hand, experimental probability is the proportion of times an outcome occurs based on actual experimental results. In other words, it is the data observed from repeated trials of an experiment. It's worth noting that with an increasing number of trials, experimental probability tends to get closer to theoretical probability, in accordance with the Law of Large Numbers.Learn more about Probability here:https://brainly.com/question/22962752
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Fractions. Help. Please?
[tex]x=0.\overline{8}\\\\10x=8.\overline{8}\\\\10x-x=8.\overline{8}-0.\overline{8}\\\\9x=8\\\\x=\dfrac{8}{9}[/tex]
which is a disadvantage of purchasing and owning a home?
The answer to your question is,
B. Homeowners pay additional property taxes
-Mabel <3
Owning a home can lead to a lack of flexibility, high maintenance costs, and financial risks associated with changes in the housing market.
Explanation:A significant disadvantage of buying and owning a home is the commitment and reduced flexibility compared to renting. When you purchase a home, it becomes a major part of your portfolio, any change in the housing market can directly affect your financial status. Not to mention, if you need to move for a career opportunity or a change in life circumstances, it can be challenging to sell the house, especially if the market conditions are unfavorable.
Furthermore, home ownership often comes with substantial maintenance costs and responsibilities. Unlike renting, where the landlord typically handles maintenance tasks, as a homeowner, these responsibilities and costs are up to you. This can include routine tasks such as gardening and cleaning, to significant unexpected costs like roof replacement or plumbing issues.
Additionally, despite the potential financial return of selling the house in the future for more than you paid for it, this is not guaranteed. The housing market can fluctuate and you may not always make a profit on the resale of your home.
Learn more about Home Ownership here:https://brainly.com/question/32148612
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Algebraic expressions for five less three times the length L
write and solve an equation to find the missing value:
The Turner family and the James family each used their sprinklers last summer. The water output rate for the Turner family's sprinkler was
25L
per hour. The water output rate for the James family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
75
hours, resulting in a total water output of
1475K
. How long was each sprinkler used?
Perform the indicated operation . Round the result to the nearest tenth and then to the nearest hundredth . Separate your answers by a comma . -49.256 + 17.197
Final answer:
By adding the two numbers and rounding, we first get -32.1 for the rounding to the nearest tenth and then the same result, -32.1, when rounding to the nearest hundredth.
Explanation:
To perform the indicated operation and round the result first to the nearest tenth and then to the nearest hundredth, we begin by adding the two numbers: -49.256 + 17.197. The sum of these numbers is -32.059. To round to the nearest tenth, we look at the hundredths place, which is 5, so we round up, resulting in -32.1. Next, to round to the nearest hundredth, we consider the thousandths place, which is 9, so we again round up, but since we're already at 9 in the hundredths place, the result remains -32.1.
The transformation of triangle abc is an example of what
Final answer:
The transformation of triangle ABC is an example of a linear transformation that preserves lines and parallelism.
Explanation:
The transformation of triangle ABC is an example of a linear transformation.
A linear transformation is a transformation that preserves lines and parallelism. It transforms lines into lines and takes parallel lines to parallel lines.
For example, if triangle ABC is transformed into triangle A'B'C', the corresponding sides of the triangles will be parallel. Additionally, any lines within the triangle will remain lines after the transformation.
Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!
Hi, there
Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?
Explanation:
1.65 x 21
Answer 34.65
Hi!
Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?
12 x 0.1 = 1.2
9 x 0.05 = 0.45
1.2 + 0.45 = $1.65
Answer:
She has 12 Dimes and 9 Nickels!
ineed help with this qusetion plox
Assist
The answer should be Assist
Let me know if the answer is wrong and i'll correct it
Answer:
Step-by-step explanation:
assist
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?
Answer:
The scale is : 1 in : 2.5 ft
Step-by-step explanation:
An architect notices that the scale on a blueprint he is using has been torn off.
However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint.
Let the scale be x
[tex]\frac{5}{12.5} =\frac{1}{x}[/tex]
So, scale = [tex]x=\frac{12.5}{5}[/tex] = 2.5
So, the answer is : 1 in : 2.5 ft
Answer:
The scale is : 1 in : 2.5 ft
Step-by-step explanation:
pls make me brainliest
The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on the return trip of 2 hours. What is the distance between the island?
An item that is normally sells for $130 is marked down 30%. What is the sale price
To find the sale price of an item that is normally $130 with a 30% markdown, calculate the discount amount ($39) and subtract it from the original price to get a sale price of $91.
The question asks to calculate the sale price of an item after a 30% markdown. To determine the sale price, you have to first calculate the discount amount and then subtract it from the original price of the item. Here's how you do it:
Find the discount amount: original price x discount rate.Subtract the discount amount from the original price to get the sale price.For an item that is normally sold for $130 and is marked down 30%, the sale price can be calculated as follows:
Discount amount: $130 x 0.30 = $39.Sale price: $130 - $39 = $91.Is -27 meters deeper than -31 meters
yes that is because they are both negative but when both are absolute valued, 31 is larger than 27
( 30 POINTS!!! WILL MARK AS BRAINLIEST IF GIVEN AN EXPLANATION )
What is the number in scientific notation?
0.0765
I think it is
7.65 x 10^-2
7.65 x 10^-2 i think i'm not sure
z+5-4z=8 plz hurry plz
first, rearrange the equation like this
5 + z -4z = 8
Then, simplify the "z"s Then, subtract 5 from both sides
-3z = 3
Then, divide both sides by -3
z = -1
To check
-1 + 5 - 4(-1) = 8
-1 + 5 + 4 = 8 -1 + 9 = 8
8 = 8
[tex]( {x}^{3} + {x}^{2} + x + 2) \div ({x}^{2} - 1)[/tex]
[tex](x^3+x^2+x+2) divide by (x^2-1)[/tex]
We use long division to divide
There is no x term in x^2 -1 so we put 0x
x + 1
----------------------------
x^2+0x-1 x^3+ x^2 + x+ 2
x^3+0x^2-x
-----------------------------(subtract the bottom from top)
x^2 +2x + 2
x^2 +0x - 1
--------------------------------(subtract the bottom from top)
2x + 3
-----------------------------------------
Quotient : x+1
Remainder : 2x+3
Two less than twice a number equals the opposite of the same number. Write an equation to represent this statement, then solve.
Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.
X+90 = 4x
What does x equal?
From what I remember it should be 30
Standard form: −3X + 90 = 0
Is this all right because my homework is tomorrow
Yeah, its all correct
It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)
the length of a rectangle is 4 in. greater than the width. the perimeter of the rectangle is 24 in. find the dimensions of the rectangle
The width is 8 in.The lenth is 4 in.
|x|=13 Can someone please help me fin the solution? Pleaseeeeeeeee ASAP, and can you explain it to?
How do I factor trig functions?
I am stuck on how to factor out equations like 1+sinX-cos2x=0
I am confused on where to go from here to solve the equation. Pls help.
Use cos2x =1-2sin^2x
1+sinx- (1-2sin^2x) = 1+ sinx -1+2sin^2x
=sinx+2sin^2x=sinx(1+2sinx)
Therefore
Either sinx=0 or 1+ sin2x =0
X=npi or sin2x=-1
Sin2x=sin 3pi/2
2x= npi +(-1)^n3pi/2
x=npi/2 + (-1)^n 3pi/4