Cyclotron Definition and 99 Threads

I'm looking for some sort of project to do this summer. I was looking around, and I heard about making a small, home-made cyclotron, but it sounds like materials would be hard to get and expensive. So, does anyone have any examples of a great, preferably time-consuming project that I could...

Hey! I've been working on a problem here for which I have found the four acceleration of a particle going in a circle with radius R to be \underline{A} = -R\omega^2 \gamma^2 (0,\cos(\omega \gamma \tau), \sin(\omega \gamma \tau), 0) and in going from this to find the proper acceleration I...

Ok , so I was wondering if you could legally build a cyclotron accelerator , I am fourteen years old , so if there are any permits required , would they be accessible by a fourteen year old? , I realize it has the potential to produce ionization radiation , and that's the part that i think i...

I want to build a cyclotron. Not necessarily a big one, and just for fun. I have a crude blueprint from a wikipedia article, but seeing as I don't know where to begin, could someone help me break it down? here is a link of the one I want to make...

Hey. I am a freshman in high school, and iv'e been reading about building a cyclotron. I have the basic principles understood but can someone explain how exactly i would assemble on, and the mathematics behind it. ALso and information about how the fields interact would be phenomenal. I have...

I don't know what the speed of light c is doing in the Hamiltonian for the Landau quantization. The term doesn't have dimensions of momentum anymore. :confused: \hat{H}=\dfrac{\hat{p}^2_x}{2m}+\dfrac{1}{2m}\left(\hat{p}_y-\dfrac{q|\vec{B}|}{c}\hat{x}\right)^2 Any ideas? thanks.

Hi All, For a hydrogen atom in the field B, torque on the electron is \tau =\mu Bsin\theta =\omega_pJsin\theta => \omega_p=gqB/(2m) If we only consider orbital motion (ignore spin), then g=1. So \omega_p=qB/(2m). (It follows the steps from Feynman's lectures VII section 34-3) For a single...

Homework Statement A cyclotron is a particle accelerator made of two electrodes shaped as two empty half-circles separated by a small gap. We consider the dees as lying on the x-y plane, having radius R, both with centre in the origin, and each occupying the semiplane of positive and...

how does a cyclotron work?what can it be used to make? can it be made as a school project?

essentailly cyclotrons are used to smash one atom into another. can it be done to fuse atoms? oh and i read that cyclotrons are used to treat canncer. they shoot ionizing particles at the cancer while, avoiding non cancer tissue. if anyone knows the best way to cure cancer in terms of...

Homework Statement v initial is also equal to 1000 Homework Equations ? The Attempt at a Solution the only time the particle actually speeds up is during the crossing of the dees. so integral of of Vdx = the maximum energy of the system, but i don't know how to make this into an...

Hi! I'm looking for a derivation of effective cyclotron mass for electron in randomly oriented magnetic field and quadratic anisotropic dispersion. It's quite obvious, how to do that, but I'm stuck trying to calculate area of the ellipse (intersection of ellipsoid of equal energy and...

The electromagnetic power radiated by a nonrelativistic particle with charge q moving with acceleration a is: P = \frac{q^2 a^2}{6 \pi \epsilon_0 c^3} If a proton is placed in a cyclotron with a radius of 0.500 m and a magnetic field of magnitude 0.350 T, what electromagnetic power...

Homework Statement The two main concepts in this chapter are: Moving charges create magnetic fields & Magnetic fields exert forces on moving charges. You have decided to make a home made cyclotron (particle accelerator). You decide to use a household circuit use a 120V, 15 Amp circuit. If...

The question: A particle in a cyclotron gaines energy q \Delta V from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T = \frac{2 \pi}{\omega} = \frac{2 \pi m}{q B} so the particle's average rate of increase in...

Hello, I'm always seeing the energy of a particle being accelerated in a cyclotron expressed in MeV or GeV. How do I determine the velocity of a proton in m/s ? Thanks!

Homework Statement Known data: v_{final}=3.99*10^{7}m/s f_{osc}=12MHz B=1.6T R=0.53m V_{acc}=80kV q_{deut}=1.602*10^{-19}C m_{deut}=3.344*10^{-27}kg answer according to Halliday and Resnick x=240m I got it all, and I have to find how much distance was traveled by the deuteron in the...

Homework Statement A cyclotron is designed to accelerate deuterium nuclei. (Deuterium has one proton and one neutron in its nucleus.) [ANSWERED] (a) If the cyclotron uses a 2.0-T magnetic field, at what frequency should the dee voltage be alternated? [ANSWERED] (b) If the vacuum chamber has...

I'm working on plans to build a small cyclotron as a DIY project (I'm a high school student). I've spent over a month researching a variety of sources (the rutgers cyclotron, etc.) and am working on some calculations, but I'm stuck with the mean free path equation. the equation I was using...

Homework Statement Prove that the energy of a cyclotron can be expressed as: E (MeV) = 4.8e-3 (B * R * q)2/A Where B is the magnetic field in Tesla R is the maximum radius of the cyclotron in cm. q is the charge of the particle accelerated. A - is the mass number. We can ignore...

Homework Statement A cyclotron is to accelerate protons to an energy of 5.4 MeV. The superconducting electromagnet of the cyclotron produces a magnetic field of 3.5 T, perpendicular to the proton’s orbits. a) When the protons have achieved a kinetic energy of 2.7 MeV, what is the radius of...

Hey so i wanted to build a cyclotron but i have a few questions about them first... First is do the magnetic "D's" have to be one solid magnet or can they be multiple magnets uniformly spaced out. Also what can i use as a detector if say i want to accelerate a proton to like 75% the...

Homework Statement Given the equation of motion for charged particle in a magnetic field, with mass m and charge q moves in the y-z plane under the influence of a uniform magnetic field \hat{B}=B_{0}\hat{x} is given by: m\frac{d\hat{v}}{dt}=q\hat{v}\times\hat{B} Find the solution to...

Does anybody have any tips/ advice on building a simple cyclotron? I read about Michio Kaku making an accelorater when he was a teen and was wondering how to make one.

what creates the magnetic field on a cyclotron? in all of the schematics I am looking at it just says "magnetic field points up" like it is extremely apparent as to what creates the magnetic field. I was thinking that a bunch of small diameter solenoids packed side by side would be the best way...

Hi, I am having trouble understanding the workings of a cyclotron. Supposing the typical design with two D shaped objects, changing potential differences between the D's, and a source of charges in the center, I can see that the particles would move in arcs (circles) at a constant energy. I...

Homework Statement A 66.0-cm-diameter cyclotron uses a 530 V oscillating potential difference between the dees. How many revolutions does the proton make before leaving the cyclotron? Homework Equations f = (q*B)/(2*pi*m) The Attempt at a Solution I find the cyclotron frequency: f =...

This isn't exactly homework, but I felt that I had too much to ask that it wouldn't be right to put this in the regular section. Anyway, I've been reading the original paper on the design of a cyclotron (Lawrence & Livingstone) and there were two parts which didn't agree with what I knew... and...

Homework Statement The particle moves in a plane perpendicular to the magnetic field direction as shown in the figure. What is omega, the angular frequency of the circular motion? Express omega in terms of q, m, and B_0. Homework Equations omega=2pi/T The Attempt at a...

Homework Statement I am currently writing about Cyclotrons, and want to show how the period is related to the magnetic field. Homework Equations T = \frac{2 \pi}{\omega} \omega = \frac{v}{r} The Attempt at a Solution I have rearranged the above formula to give: T =...

Anyone know how to do it? I do not know where to find dee electromagnets, nor do I even have the complete design of his system.

Homework Statement A Cyclotron is accelerating proton, where the applied magnetic field is 2 T, the potential gap is 100 KV, then how much turn are required for a kinetic energy of 20 MeV... (a) 300 (b) 200 (c) 150 (d) 100

Hi, my name is Peter Heuer, I am a high school student and an avid reader of physics forums :) I have been working with two friends over the last year and a half to build a small cyclotron to enter in a science fair. We have completed our design but are having trouble funding the project...

Since the acceleration is transverse to the velocity, should we consider the transverse mass in the formula mv^2/r ie \gamma \frac{mv^2}{r} = qvB \implies \frac{v}{\sqrt{1-(v/c)^2}} = \frac{qBr}{m} ?

Can somebody explain the electron cyclotron frequency with minimum math please. thanks.

It seems not yet. http://aeroguy.snu.ac.kr/lab/research_cyclo_intro.htm

Homework Statement The uniform 26.0 mT magnetic field in the figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 5.50E6 and at an angle of 30 deg. above the xy-plane. The problem defines the pitch to be the distance between the...

Homework Statement What is the cyclotron frequency in a 3.10 T magnetic field of the ions listed below? The masses of the atoms are shown in the table. The accuracy of your answers should reflect the accuracy of the data given below. (Although N2+ and CO+ both have a nominal molecular mass of...

Homework Statement Cyclotron resonance for a spheroidal energy surface. Consider the energy surface \epsilon(\mathbf{k}) = \hbar^2 \left( \frac{k_x^2 + k_y^2}{2m_t} + \frac{k_z^2}{2m_l} \right) where mt is the transverse mass parameter and ml is the longitudinal mass parameter. A surface...

could anyone elucidate on how Ashcroft and Mermin get \sqrt{\frac{det M}{M_{zz}}} for the cyclotron effective mass (page 571)? Is this true for all energy contours or only certain ones? And if that's the case which because they don't seem to specify? thanks.

Homework Statement A 61.0 cm diameter cyclotron uses a 500 V oscillating potential difference between the dees. The magnetic field strength is 0.790 ? How many revolutions would a proton make before leaving the cyclotron? Homework Equations v/r=Bq/m Ke=1/2mv^2 The Attempt at a...

We know in a cyclotron motion, qvB=mv^2/R Can you please tell me if the charge requires energy as it moves... It is obvious that when it starts it requires energy provided by only the magnetic field. As it starts, it has constant velocity...no dissipation.Does it mean its energy remains...

hey this is my first post, need help with a homework problem. What is the cyclotron frequency in a 3.55 T magnetic field of the ions listed below? The masses of the atoms are shown in the table. The accuracy of your answers should reflect the accuracy of the data given below. (Although N2+...

The answer is 1.56 x 10^13 I can't get the answer. Fm = F centripetal Force qvB = mv^2/r v= rqB/m Calculate energy KE = 1/2 mv^2 I put in v = rqB/m KE= 1/2 (rqB)^2/m I plug in all the #, but still can't the answer please help, thanks so much!

has anyone attempted this as a project?

Hi. I'm a college student, part of a group who will be doing a hands on study of particle physics next year. We plan to build a linear particle accelerator, after which we may go on to build a cyclotron. We'll be accelerating electrons to start off with. I would like to find out more about...

In a cyclotron, why do they not use electric fields to move them in circles?

The cyclotron forumla is derived here See -www.geocities.com/physics_world/cyclotron.htm That's a lot of work for something so simple. Recall that the relativistic force can be written as equation. Recall that F = M_t A_t + A_L M_L where M_t = transverse mass A_t = transverse...

I'm trying to build a small cyclotron and am thus searching for a magnet. I've been looking for a neodythium disc magnet that I could have cut in half to act as the two 'D' magnets in the cyclotron. The size of the magnet needs be somewhere around 12" in diameter but I can't seem to find...