Homework Statement
Data from the short-circuit test of a 60-Hz, 100-kVA, 4600–230-V transformer are:
VSC = 172.3 V
ISC = 20.2 A
PSC = 1046 W
Get the per-unit parameters.
2. Relevant equations
ISC ≠ Irated, so how will I solve the problem?
The problem is from the book with ISBN 0130612103.
Homework Statement
Determine whether the series is converging or diverging
Homework Equations
∞
∑ 1 / (3n +cos2(n))
n=1The Attempt at a Solution
I used The Comparison Test, I'm just not sure I'm right. Here's what I've got:
The dominant term in the denominator is is 3n and
cos2(n)...
Homework Statement
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1. After a long road trip during summer break, a college student wants to estimate how long she drove between rest stops. She takes a random sample of 15 stops and records this data in hours: 1.5, 2.6, 1.75, 3.5, 2.25, 3.75, 1.8, 2.9, 3.2, 3.15, 1.5, 2, 3, 2.75, and...
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Homework Statement
[/B]
This is the question I have (from a worksheet that is a practice for a quiz). Its a conceptual question (I guess). I understand how to solve ratio test problems.
"Is this test only sufficient, or is it an exact criterion for convergence?"
Homework Equations
Recall the...
I'm working on the following problem and I have made it this far... am I on the correct path or am I doing this incorrectly?? I find series extremely confusing. Also... how do I find the error involved in the improved approximation?
This is the series I am working with...
What are the different ways to detect harmful chemicals in food? I need to find at least 5 tests for different chemicals for my chemistry investigatory for my final exams. I have only chemicals available in a standard lab in my hand.
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Homework Statement
I'm reviewing for a test and working on the practice problems for the ratio test that Pauls Online Notes gives. So here is given problem:
Here is his solution for the problem:
2. The attempt at a solution
I worked this out before I looked at the solution and I got it wrong...
i am asking is it possible to apply scientific methods to stop the syrian war , or it is just too much away from reality and real life
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Hi everyone, I'm currently taking Calc II course and I'm kind of stuck in this ratio test proof thing.
Homework Statement
http://blogs.ubc.ca/infiniteseriesmodule/appendices/proof-of-the-ratio-test/proof-of-the-ratio-test/
I'm trying to understand the proof, but there are some parts that I...
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I need to replicate the conditions of a clutch on a pin on disc tribometer to measure the coefficient of friction. However the tribometer I have access to can't spin faster than 1000 RPM. The clutch will reach speeds from 3000 RPM to 9000 RPM. I calculated the normal force required on...
Homework Statement
So the test is to take the determinant (D) of the Hessian matrix of your multivar function.
Then if D>0 & fxx>0 it's a min point, if D>0 & fxx<0 it's a max point.
For D<0 it's a saddle point, and D=0 gives no information.
My question is, what happens if fxx=0? Is that...
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I got a 61% on my first mathematical methods for physics and engineering test. I thought I would at least get a solid C on that test :( If I were to receive a 100% on everything thing else ( 1 test , 1 final, 5 homeworks) I could end up with a 92.5% in the class. After that test I currently...
Let's say a radio power transformer or other electronic transformer (audio for example) has a short between two of its coils (for example, the enamel coating has burnt off). Is there any way to test it to find out without taking it apart?
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A few weeks ago I got a test about physics. One of the questions on the test was about
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I am analysing a 3D D shaped Incompressible Neo hookean material in contact with a semi cylinder using Ansys 14.5 APDL. The input values provided are C10=2737674.313898 and mass of D shape geometry to be 8 kg/m. I have converted these values into density and Shear Modulus as required in...
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Homework Statement
Ok, so I've read many of the threads on here and they all say the same thing. I think I understand the Gauss Law and the theory behind the spherical shell.
The question is this:
Find the WORK done bringing a test charge q from infinity to the center of a spherical shell of...
Hi, physics undergrad here with bad statistics skills!
I'm working on my 3rd year project and I need to do some statistical analysis. First, I'll paint the scene:
We have a number of tables, each of 10,000+ sources taken from the space telescope Herschel. They have had their flux measured at...
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Homework Statement
A stone is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45◦ . With what speed was it thrown?
Homework Equations
g=9.8
projectile motion is symmetric
The Attempt at a Solution
I got the answer 277.539 by treating this is a...
Homework Statement
A locked rotor test is performed on a permanent magnet DC machine with the following results:
Terminal Voltage 5 V DC
Input Current 10 A DC
Locked rotor torque. 20 Nm
a) Making suitable approximations deduce the effective rotor resistance in ohms?
b) Making suitable...
((2+i)/(3-4i))^(2n)
I know it converges with 1/5 < 0
but I don't understand how to obtain 1/5
unless somehow its like this
(2+i)^2 = (4+1)=5
(3-4i)^2 = (9+19)=25
which is 5/25 which is 1/5
but that doesn't seem like the correct way to me
Homework Statement
A short circuit test is performed on a small single phase transformer. The results are:
Primary Voltage 5V, 60Hz
Primary Current 2A
Secondary Current 10A
Primary Power 8W
a) Making suitable approximations deduce the primary/secondary turns ratio (single number)?
b) Making...
Homework Statement
So my question was Sum- (n=2) ln(n)/n
Homework Equations
I noticed that you can only limit comparison, because so far, I have tried doing all the other test such as the nth term test, p-series, integral(i have no idea how to integrate that).
The Attempt at a Solution
I have a heat exchanger with water/air as medium and we test it in a facility where we cycle the water temperature between 25 to 95 degrees Celcius with a cycle time of 5 minutes for thermal fatigue.
Our customer require the testing to be between 5 to 95 degrees instead with 3 minute long...
Homework Statement
http://www.solutioninn.com/physics/electricity-and-magnetism/magnetic-fields/particle-with-charge-2.15uc-and-mass-3.20-x-10-11-kg-is
I am just going to link this because I don't know how to draw a nice diagram like that and put it here. But essentially that is the question...
Hi,
I have a 4x4 contingency table that by visual inspection looks approximately symmetric, in the sense that for each entry aij we approximately have a_{ij} = a_{ji} for i,j=1,2,3,4.
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An attempt I made was to treat the...
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In my textbook it says if you are comparing limn->infinity of an/bn an>0 and bn>0 for the limit comparison test to apply.
It says nothing about "an" having to be greater than "bn", so as long as both are positive for each term I can use the limit comparison test right? It isn't like the...
Hey Guys! I am working on a math project and I am stumped. I'm not sure weather I should use the chi-squared test or another test with my set of data. I am testing weather there is a relationship between crime rates and the unemployment rate of cities. Could someone please help? I'm not testing...
Homework Statement
Use the limit comparison test to prove convergence or divergence for the series sum from n=1 to infinity for ((5n^3)+1)/((2^n)((n^3)+n+1))
Homework Equations
The limit comparison test says that if you have two positive series, sum An and sum Bn, let C=lim n to infinity of...
Homework Statement
Use the limit comparison test to show the series converges or diverges: Sum from n=1 to infinity of ((5n^3)+1)/((2^n)((n^3)+n+1))
Homework Equations
suppose Sum An and Sum Bn are two positive series. Let lim as n goes to infinity of An/Bn = c: 1) if 0<c<inifinity then either...
The question asks whether the following converges or diverges.
\int_{0}^{\infty } \frac{\left | sinx \right |}{x^2} dx
Now I think there might be a trick with the domain of sine function but I couldn't make up my mind on this.
I tried to compare it with 1/x^2, (sinx)/x, and sinx. I actually...
Homework Statement
Use the limit comparison test to check for convergence or divergence: Sum from n=1 to infinity of ((2n)^2+5)^-3
Homework Equations
let lim n to infinity of An/Bn = c
1) if 0<c<infinity then either both converge or both diverge
2) if c=0 and sum Bn converges, so does sum An...