I have a system transfer function
H(s) = 1/(e^s + 10)
This system has both poles and zeros at infinity and -infinity.
Can anybody tell me if this is a stable system. Thanks.
Homework Statement
The question is this:
State the law of poles (electric) states Homework Equations
The Attempt at a Solution
Ok, so I assume it's a typo above...and should read either:
1. State the law of poles (electric)
or
2. The law of poles (electric) states.
That is the question I am...
i have a question that involves geographic coordinates of a city and magnetic data here it is:
compare geomagnetic and geographic latitude to determine whether a city is closer to geographic of geemagnetic pole. the geographic coordinates are 75.55W and 45.40N. the horizontal and vertical...
Homework Statement
Identify the zeroes, poles and essential singularities of f(z) = z^{2/3}
Homework Equations
f(z) = e^{\frac{2}{3}\log{z}}
Which I'm not sure will be useful...
The Attempt at a Solution
I know that f is 0 at z=0, but what is the order of this zero? Is there such a...
Nearly all the blokes have beer bellies and nearly all the girls are bean poles, bean poles wearing barbie doll clothes, and beer bellies wearing jeans and tee shirts, that is the impression i had when i went to the city.
I still don't quite fully understand about the order of poles and calculating residues.
Take f(z) = 1/sin z at z=0 for example.
When I try putting that into Laurent expansion about z=0,
1/ sin z = 2i/ (e^z - e^(-z)) = 2ie^(-z) / ( 1 - e^(-2z))
= 2ie^(-z) [ 1 - e^(-2z) + e^(-4z) - e^(-6z) +...
There is supposed to be a switch of magnetic poles in several thousand years which already started 150/200 years ago. This gave me an idea. Can the changing magnetic orientation cause the whales (and other large mammals living in the sea who use the Earth's magnetic field) to "crash" on shores...
Homework Statement
A copper penny falls on a path that takes it between the poles of a magnet. Does it hit the ground going faster, slower, or at the same speed.
The Attempt at a Solution
Clearly the penny undergoes a change in magnetic flux. Since it receives a change in magnetic flux...
Hi,
I'm trying to gain a better understanding on poles and zeros. Seems everywhere i read it says the poles and zeros can tell you the system response, characteristic and you can do lots with it from filter design to controls. Its a broad area but was hoping someone can provide further...
hello guys, I finally decided to join a forum online and starting asking my " brilliant" :-0 questions..hehehe..oh man i have plenty of those..
OK, am reading the book: understanding physics, by isac asimov. And i am reading about magnetisim now, and its stated two things that bugged my...
I have a few questions about magnetics. Let's say I have 4 individual magnets of equal size.
1.) When all 4 individual magnets come together and are held together by their magnetic force do they form 1 whole magnet with two poles or do they remain individual magnetics each with their couple of...
Homework Statement
Find Poles & eval resides at those points for
f(z) = sin(z)/(z^2+1)
Homework Equations
I'm using Res f(z) = [g^m-1 (z_0)] / (m-1)!
The Attempt at a Solution
So I worked out the f(z) = 1/(z-i) so g(z) = sin(z) /(z+i) for my first one did the sub for z=i...
Hi, I have a question about magnetism.
If 2 magnets are used to pick up iron shavings, and the magnet are connect with paramagnetic material and turned into a U-shape.
Should the poles at the end of each magnet by similar or dissimilar to pick up the iron shavings most effectively?
I need to know how to evaluate higher order poles.
I have the answer for the integral of this function
[tex]\frac{(1 + x^2)}{(1 + x^4)}[\tex]
from integrals.wolfram.com, but think it can be done using residues. I believe it involves taking a derivative and then multiplying by the pole...
I have a question with rotation and the equator. The question is on the north and south sides of the equator water travels clockwise or counterclockwise when drained. Does this occures in the first place or is it a farce.
If this is true would engines or motors work more efficiently working...
i had this idea of a magnet, if u bend the magnet, so that it has 2 edges on the north pole and 2 edges on the south pole, just like half a tunnel, i don't know the name of the shape, but suppose it has 2 edges on the north pole, won't the 2 edges repel each other because they are positive, what...
A cable hangs between two poles of equal height and 37 feet apart.
At a point on the ground directly under the cable and
x feet from the point on the ground halfway between the poles
the height of the cable in feet is
h(x)=10 +(0.4)( x^{1.5})
The cable weighs 15.1 pounds per linear foot...
Hey, I was wondering if there is a fast way to find the poles of a system - not using a calculator.
For example,
G(s) = \frac {30}{(s^2 + 6s + 20)(s + 2)(s + 13)}
I know two poles right off the bat: -2 and -13, but is there a way to get the poles from the quadratic quickly? Besides the using...
In Boas on p.595 there's an FCV proof for finding the order of a pole.
It says to write f(z) as g(z)/[(z-zo)^n] and then write g(z) as a0 + a1(z-z0) ... etc. and that we can deduce that the Laurent series for f(z) begins with (z-z0)^(-n) unless a0 = 0 i.e g(z0) = 0. Therefore the order of the...
A north pole and south pole are separated by some distance (positioned vertically).
Using the discrete version of Ampere's law:
Take a path rectangle with one vertical side completely inside the magnetic field and the other vertical side completely outside the magnetic field.
Where h =...
I need to use residue calculus to evaluate:
\oint_C {\frac{{e^z }}{{\cosh z}}} dz
where C is the circle |z|=5
My only problem (which is a stupid one) is working out how many poles the function has inside the circle. I know its going to have them at pi*i/2 + pi*i*k. This is probably a really...
I just watched a documentary on the history of the Earth's magnetic field that was very interesting. It said that the Earth historically has averaged a pole flip roughly every 200,000. However, Earth has not flipped its poles in over 700,000 as evidenced by ferromagnetic iron samples taken...
What determines a magnetic pole? Everyone has known sense elementry school that on a bar magnet (and the earth) have North and south magnetic poles... my question, what make a (bar magnet) that way? If I were to cut a bar magnet in half(between the poles) would I have one magnet that was...
Hi all
Another thought I have been pondering is why don't I weigh significantly more at the poles than I do at the equator
The Earth rotates at n kilometers per hour, I think around ~1300 kmph
Would this not create a centrigual effect countering Earth's gravity. thus making me lighter...
We measure time in different regions using longitude. But as you get closer to the poles, these lines converge (obviously). Does that technically mean it is "all times" at the pole where they all meet? And by moving one inch away, I can be in all time zones at once with one foot? Obviously, this...
I need to know all the bad things that will happen if and when the Earth's geomagnetic poles will shift. Also, about every 11 years when the sun's poles change what happens to the sun?
say I take magnets of different poles and arrange them in a circle sorting them by one + and then another - and so on and I fixed them so they would nto move. What would happen if you placed a metal inthemiddle. Would this be kinda like a perpetual motion machine since the magnets onthe...
I need help on this problem:
Suppose you stand on a bathroom scale on one of the Earth's poles, and it reads 700.0 N. If you stand on the same scale on the Earth's equator, and your mass is unchanged, what will be the scale reading on the equator? (Remember that the scale tells you the normal...
Let’s say I make ball (sphere) out of permanent magnet material.
Where will be N/S poles, will they take fixed position or, as I think, position won't be fixed.
p.s. same for magnet ring
according to Newtons law since the Earth is flatten in the poles the distance to the center of the Earth is bigger in the equator and therefore its gravity is stronger there.
with this same argument you could say that if you got to the center of the Earth the distance tends to 0 and therefore...
Unnecessary "magnetic poles" ?
If I run steady, same direction, currents through two close, slack parallel wires, I will see the two wires attract each other. If I reverse one of the currents I will see the two wires repel each other.
If I now roll the wires up into coils, and place them on...