Homework Statement
23) A person weighs less at the equator than at the poles. The main reason for this has to do with
A) the spin of the Earth.
B) the shape of the Earth.
C) both the spin of the Earth and the shape of the Earth.
D) the influence of the sun, moon, and all the planets...
Trying to help someone out with their assignments on basic polar graphs. This first question is very easy to determine the poles from as the limacon has an inner loop.
But when you have a limacon WITHOUT (below) an inner loop, how does the "max from pole" and "min from pole" figure? It's been...
Hi,
Recently I came across an annular permanent magnet (round magnet with a hole in it) which had fallen and broken in half, effectively forming two horse-shoe magnets. I noticed that the two halves had similar poles:
|---------- S S--------
| |
|...
Hello all. I have two questions.
1] How do poles and zeros relate to bode plots? What happens at a pole or zero?
2] Can you come up with a rough sketch of a bode plot if you know the following (without having to use the transfer function)?:
- Zeros
- Poles...
Hello,
I hope somebody can help me with this one.
Homework Statement
I want to find the integral of 1/x^N*exp(ix) from -inf to inf.
Homework Equations
It is very likely that this can somehow be solved by using Cauchy's integral formula.
The Attempt at a Solution
I tried to...
Consider 2 cases
case 1: no of rotor poles = 2
no of stator poles =4
case 2: no of rotor poles = 4
no of stator poles =2
What will happen in case 1 & 2 ? Will Induction motor run?
I was wondering what voltage or current, if any, would be produced if the basic magnet through a copper coil experiment had the poles rotated 90 degress so north and south faced the top/bottom of the coil rather than the entry/exit points?
The attached image has a basic illustration of this...
Hi all, I am studying QFT using John Preskill's notes. I have a question about the propagator and poles.
On page 2.91, at the bottom, he said that there is a s-channel pole, which is the pole of the exact propagator. Then he claimed that by the argument about unitarity in page 2.70, the pole...
Referring to following video, starting at 3 min.
Earth's Magnetic Field deflat the Solar Storm.
I would like to know more what is going on between the periods before Solar Storm hits Earth's Magnetic Field and after Solar Storm hits Earth's Magnetic Field?
Does anyone know any...
Homework Statement
Homework Equations
Where are the north and south poles of this magnet?
Where are the north and south poles of the wire's magnetic field?
The Attempt at a Solution
I used the Right hand rule to determine the magnetic field of the wire, but I got confused when trying to...
Homework Statement
Find the order of the poles of
f(z)=z/(e^z-1)
Homework Equations
The poles are at z=2 π i k k\inZ\0
(Because at z=0 f(z) has a removable singularity -set f(0)=1)
The Attempt at a Solution
I tried using the Taylor series of e^z - \sumz^n/n!
But I just...
I know that
\int_{- \infty}^{\infty} e^{-x^2}dx = \sqrt{\pi}.
What if I tried evaluating this over the complex plane? If I created a contour that ran along the real axis, then circled around from positive to negative infinity this should not change things as along the curve at...
Hi, I'm new here, but it seems there are some pretty intellectual people running around.
I was researching magnetorheological fluids, simply because I came across them and thought they were really interesting. I learned that when they are subjected to a magnetic field, the iron particles in...
Homework Statement
Hello, I would like your comments on my observations. I have a set of data from a step experiment, one input (volts D.C), one output (temperature). By doing system identification, the resultant model is second order and its poles lie at 0.99 and 0.8 (z-plane)
Now for...
Homework Statement
A student finds an old magnet at the back of a drawer containing other magnets.
He designs an experiment to find out if it is still magnetised.
(i) He brings a plotting compass near to end A of the old magnet, as shown in the first part of the image.
State the...
Please find the attached picture..
My understanding : Use right hand thumb rule to find the direction of magnetic flux lines when the direction of currents are known. When I have a 'cross', the lines will be in clockwise direction while I have a 'dot', the lines will be in anticlcokwise...
Hi all,
Would like to start off by letting you all know i am new to the PF and the reason for joining is due to constant ideas and thoughts flooding my brain to no end, i do not have any physics degree's but i do share an intense interest in Physics.
According to a friend of mine the only...
Hi!
From "Le Bellac, Quantum and statistical field theory, 10.5.2-Massive vector field":
"The longitudinal part of the propagator k_{\mu}D^{\mu\nu} has no pole at
k^2=m^2, so the longitudinal part doesn't constitute a dynamical degree of freedom."
I have two questions:
1) Why the propagator...
I am supposed to discuss the benefits of having high number of magnetic poles in ac generators with constant frequency.
From formula it is obvious that the higher number of poles the lower the speed of rotation.
But is there anything else, or what is the benefit of lower speed?
The only...
Hello,
Generally and specially in AC motors, what is the effect of the no of poles of the rotor on the motor performance? if it's same or less or more than the no of poles of the stator?
Thanks
Homework Statement
evaluate the integral:
I_1 =\int_0^\infty \frac{dx}{x^2 + 1}
by integrating around a semicircle in the upper half of the complex plane.
Homework Equations
The Attempt at a Solution
first i exchange the real vaiable x with a complex variable z & factorize...
Compute the residue of $\Gamma(z)$ at each of its poles.
So the poles are at the negative integers and 0. I suspect there must be a formula than since this is an infinite set.
$\Gamma(z) = \dfrac{e^{-\gamma z}}{z}\prod\limits_{n=1}^{\infty}\left(1+\dfrac{z}{n}\right)^{-1}e^{z/n}$
Should I...
Topic. If I have an iron shaped like a bar magnet placed flat on the floor, can the poles of the magnet be pointing anywhere else other than 90 degrees and 180 degrees?
$$
\int_0^{\infty}\frac{(\log x)^2}{1 + x^2}dx = \frac{\pi^3}{8}
$$
I have no idea what to do with this integral. I can't see it is even and do 1/2 the integral from -infinity to infinity since log -x doesn't make sense.
Homework Statement
\int_{|z-2i|=2} = \frac{dz}{z^2-9}
2. The attempt at a solution
I know that the contour described by |z-2i|=2 is a circle with a center of (0,2) (on the complex plane) with a radius of 2. The singularities of the integral fall outside of the contour (z+3 and...
I am currently conducting a project where a yacht will be suspended in air by two straps which are connected together by two poles. The poles will be mounted on a barge and therefore I want to find how I can relate the angle of heel (\varphi) to the two angles. Although the yacht will remain...
Hi I'm working on a science experiment and I need two electromagnets to push away from each other, but the two small electromagnets I've made (using two bolts wrapped in magnet wire and a D battery) just attract each other no matter which ends I put together. Am I doing something wrong? Do I...
If f is meromorphic on U with only a finite number of poles, then f=\frac{g}{h} where g and h are analytic on U.
We say f is meromorphic, then f is defined on U except at discrete set of points S which are poles. If z_0 is such a point, then there exist m in integers such that (z-z_0)^mf(z)...
Homework Statement
C_{N} denotes the positively oriented boundary of the square whose edges lie along the lines x=+/- (N+1/2\pi), y=+/- (N+1/2\pi).
Then show that [tex]\int_{C_{N}} \frac{dz}{z^{2}sin(z))=2\pi i[\frac{1}{6}+2\sum_{n=1}^{N}\frac{(-1)^n}{n^2{\pi}^2}]
Homework Equations...
This has been on my mind for quite a while. The LHC controls and accelerates particles with superconducting magnets, but then is the idea of magnetic domains in magnetic materials wrong as it paints the picture that electrons are causing the magnetism because of their alignment? Which is it, the...
Homework Statement
Consider the following Z tranform
X(z)=\frac{z^{-1}}{1-2z^{-1}+2z^{-2}}
Calculate the poles and resides by hand.
Homework Equations
To find residue at pole p1
(z-p_{1})X(z)z^{k-1} Evaluate at z=p_{1}
The Attempt at a Solution
OK so I've taken the X(z)...
Homework Statement
Find the residue at each pole of zsin(pi*z)/(4z^2 - 1)Homework Equations
An isolated singular point z0 of f is a pole of order m if and only if f(z) can be written in the form:
f(z) = phi(z)/(z-z0)^m
where phi(z) is analytic and nonzero at z0. Moreover,
Res(z=z0) f(z) =...
Hi,
i'm having a bit of trouble understanding how a system modeled by a transfer function in the laplace domain with no zero's and a complex conjugate pair for the poles causes an oscillation when the unit step function is applied. Any help would be appreciated
Many thanks.
If i know just these 3 values is it possible to implement a circuit using just OP-AMPS, capacitors, and resistors? How would I go about determining what values the capacitors and OP-amps should have?
The circuit is a low-pass filter and thus needs to amplify and filter simultaneously.
Can anyone point me to a journal article that describes, mathematically or otherwise, how those jets shoot from the poles of some black holes with accretion discs and AGN.
Also, if you will forgive the additional question, is there any reason why the physics that describe the ejection from...
Hi!
I have a little problem. I have an exercise where it's said that the tranfer function gives 3 poles and the rank of the controllability matrix is 4.
The question are: how many state has the sistem?
Is it controllable?
Is it observable?
My solution were...the number of state is at...
Homework Statement
If a transfer function has poles at (-1,2) and (-1,-2) and a zero at (0,0):
a) Sketch |H(jω)| on the interval 0≤ω≤10.
b) If |H(jω)| = 1, what is the approximate value of |H| at its highest point?
Homework Equations
The Attempt at a Solution
I think I have...
Find the number of way to place m flags on n distinct poles with at least one flag on each pole if the flags are identical. What if the flags are distinct.
For the first part I said that there were
n^{m-n}
because if you have m flag and you need each pole to have a flag you have m-n flags...
I have two questions
1. The magnetic field around a straight conductor carrying current forms concentric circles around the magnet. Where are the north and south poles of this magnetic field?
2. Can a permanent magnet be made to generate a magnetic field similar to that of a wire carrying...
A study, accepted for publication in the journal Astronomy & Astrophysics, says ESA’s Herschel Space Observatory has spotted a young sun-like star 750 light-years from Earth that is shooting water from its poles at about 124,000 miles per hour.
I wonder, do all protostars do this? Is oxygen...
Hi Everyone,
I have made a solenoid of 100 turns. When i bring a small permanent magnet near the solenoid, it attracts the North pole of permanent magnet while it should attract the South pole according to right hand thumb rule... now i got confused. Kindly help me.
Regards,
hsn
Homework Statement
In control engg. we define the order of the system as (or atleast as far as I have understood as) Nu/s^m*(s+a)(s+b)...
I cannot understand the base for such classification? Why are we classifying systems based on the number of poles they have on origin?
Homework...