Homework Statement
A toroid of circular cross-section of radius a and mean radius r_{m}. Show that the inductance of this coil is given by L = μ_{r}μ_{o}N^{2}[r_{m}-(r_{m}^2-a^{2})^{1/2}]. Homework Equations
The B-field of a toroid: B = μNI/2πr (phi-direction)The Attempt at a Solution
Total...
Just a quick question--long story short, I need to normalise a plot by the cross-section, but I'm not sure how to do that and the Google hasn't been too helpful.
I was thinking about scaling it by the cross-section times the luminosity--does this sound reasonable?
Homework Statement
Beat pattern is superposition of two sine functions with a little frequency difference. (http://en.wikipedia.org/wiki/Beat_(acoustics)#Mathematics_and_physics_of_beat_tones)
We use this pattern to generate a surface, by adding another beat pattern with 60 degrees...
[PLAIN]http://www.buildingtechnologies.siemens.com/bt/low-voltage/EN/news_installation-technology_installationstechnik/new_products/BETA/PublishingImages/5SL_Leitungsschutzschalter_Miniature-Circuit-Breakers.jpg
Miniature circuit breaker (MCB) time-current characteristic has two specific...
Background:
For a BWR-transient calculation I'm trying to convert cross-sections I got from PSG2/Serpent simulations in Parcs [CrossSection] Input files.
My Question:
Parcs makes use of
SNF Nu-fission cross section
SKF Kappa-fission cross section
I assume this means Nu (as in...
I'm trying to run a simple regression for a data set (n=165). I've determined via a Chow Test that there exists a structural break somewhere; the same least squares estimate cannot be accurately used to represent the entire range of values the explanatory variable takes on. I've found two very...
Homework Statement
A beam of 0.38 MeV neutrons is incident on a 113Cd foil of thickness 1mm. The absorption
48
cross-section for 0.38 MeV neutrons is 5 barns. What is the fraction of neutrons absorbed by the foil...
Volume by cross-section: ellipse and equilateral triangle cross sections??
Homework Statement
The base of a solid is the region bounded by the ellipse 4x^2+9y^2=36. Find the volume of the solid given that cross sections perpendicular to the x-axis are:
a) equilateral triangles
b) squares...
Homework Statement
I need to find the region bounded by these curves then find the volume of the solid generated by revolving this region about the x-axis.
y= cscx, x= 1/4pi, x = 3/4pi, y=0
Homework Equations
The Attempt at a Solution
So I managed to sketch this region.. but I have trouble...
Hi, see attachment for questions/equations and my attempt.
I have had a go at this question but cannot get the correct answer, could someone be kind enough to point out my mistake and point me in the right direction. Cheers
(sorry for poor pic quality)
The questions: the base of a solid is the region bounded y=x^2 and y=4. Find the volume of the solid given that the cross sections perpendicular to the x-axis are squares.
The answer is 512/15.
I set A(x)= (2y)^2 = 4(x^2)^2=4x^4, and the answer is wrong when I integrate this from x = -2 to x =...
Homework Statement
The base of a solid is a circle of radius 4. Find the volume of the solid if each cross-section perpendicular to a fixed diameter of the circle is an isosceles triangle with height equal to its base.
Homework Equations
Volume of an object with given cross-section...
Homework Statement
http://www.vkgfx.com/physics/p5.gif
Homework Equations
R = rho*l/A
The Attempt at a Solution
Initially I thought this would be easy. I could just write the surface area A of the trapezoid by its geometric area formula and multiply it by h. I thought about it though...
Can someone *please* explain what a "differential (scattering) cross-section" is?
I've tried and tried and tried to wrap my head around what this really is, and to develop some physical intuition about it, but I just can't do it. Can someone please explain what the "differential cross-section,"...
Homework Statement
attached. It is just part a i am attempting for now.
Homework Equations
area of trapezoid = h(b1+b2 / 2)
where h is height, b1 is base one and b2 is base two.
The Attempt at a Solution
i really tried, i didn't know where to start. the answer i got was 30cm for base...
The compositions of nuclear reactors are often stated in volume fractions. i.e the fractions of the volume of some region that are composed of particular materials. Show that the macroscopic cross section for the equivalent homogeneous mixture of materials is given by
∑a = f1 ∑a1 + f2∑a2 +...
Hello, I was wondering if anyone could explain the troubling divergence here of the differential cross-section for rutherford scattering for \theta = 0. I know it must have something to do with the fact that the em force extends to infinity, which makes sense to me for the total cross section...
When a problem with a number of equations is given, asking to find its volume, a student has a choice between the cylindrical shell method and the cross-section method. However, regardless of what method is chosen, do both answers end up being EXACTLY the same?
Homework Statement
Show that if we consider photoemission from the 1s state of a charge Z atom,
\sigma \propto Z^5}}
, in the limit p_fa_0/Z\hbar >> 1.
Homework Equations
\sigma = \frac{128a_0^3\pi e^2p_f^3}{3m\hbar^3\omegac[1+p_f^2a_0^2/\hbar^2]^4}}
The Attempt at a Solution
Actually...
Hi. I need to calculate the ionization cross section in the accelerator storage ring. In all science works i read, that this parameter is over 2 Mbarn. I use the GEANT4's formula for cross section and got the cross section is ~milibarn. Please help me to calculate this cross-section. you can...
Homework Statement
Cross-sections for weak interactions at an energy E increase with E as E^2. Show that the rate of weak interactions in the early universe depends on the temperature T as \sigma_{wk} \propto T^52. The attempt at a solution
The only formula I can find is
\sigma_{wk} = g_{wk}^2...
Alright, so I'm looking into electron-impact ionization of Argon, and subsequently the collision ionization cross-section. While i have found articles that experimentally find these cross sections at different energies (energies of the electrons that is), such as here...
well I can follow the math and derive the things I'm about to ask about and do problems asked of me but I'm kinda missing something, I guess
Can someone just give me a fairly layman's explanation of: cross-section, differential cross-section, and a solid angle? Those are all things I thought...
Hello everyone,
As I've mentioned in a thread in the cosmology forum, I'm currently reseraching dark matter.
I am often confronted with 'exclusion plots' for the results of WIMP direct detection (via nuclear recoil) experiments, where one axis depicts WIMP mass, and the other depicts cross...