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2015, American Journal of Physics
We present a new model, and the validating experiments, that unveil the rich physics behind the flight of a conductive ring in the Thomson experiment, a physics veiled by the fast thrust that impels the ring. We uncover interesting features of the electro-dynamics of the flying ring, e.g. the varying mutual inductance between ring and the thrusting electromagnet, or how to measure the ring proper magnetic field in the presence of the larger field of the electromagnet. We succeed in separating the position and time dependences of the ring variables as it travels upward in a diverging magnetic field, obtaining a comprehensive view of the ring motion. We introduce a low-cost jumping ring setup that incorporates simple innovative devices, e.g. a couple of pickup coils connected in opposition that allows us to scrutinize the ring electrodynamics, and to confirm the predictions of our theoretical model with good accuracy. This work is within the reach of senior students of science or engineering, and it can be exploited either as a teaching laboratory experiment or as an open-end project work.
2013
The Thomson ring experiment is revisited with the aim of obtaining higher and higher jump heights. A new way to determine the inductance of the ring and the phase lag between the primary magnetic flux and the current in the ring is introduced. New more effective configurations are presented, up to that of true electromagnetic cannon that fires aluminium disks with great violence. As an interesting by-product, regular geometric patterns of the iron filings used to visualize the structure of the very high magnetic fields inside the coil of the electromagnetic cannon are revealed, indicating the emergence a self-organization phenomenon typical of dissipative systems.
American Journal of Physics, 2000
Measurements of the phase delay of the current and force on a ring floated on a commonly available Thomson's jumping ring apparatus were performed for phase angles from 12°to 88°. The force and phase data show excellent agreement with a linear inductive model. We find that the demonstration, as usually performed with large highly conducting rings, operates in the inductance-dominated regime at 60-Hz line frequency. Stroboscopic photographs of the jumping ring, for both room-temperature and 78-K rings, confirm that the same time-averaged inductive phase lag mechanism, not an electrical transient, accounts for the jump height. We introduce a simple room-temperature demonstration that illustrates the importance of the phase lag: Despite its greater weight, a stack of thin rings will float higher than a single ring as the inductive phase lag comes to dominate the parallel resistance of the combined rings.
2015
In this extended essay, a jumping ring setup has been established in order to find magnetic force applied on a ring as a function of applied current. A basic setup consists of a solenoid, ferromagnetic rod core and non-ferromagnetic electrically well conductive ring put on the core. In this work, however, a programmable microcontroller unit was included into the system so that time of flight of the ring could be measured. Electrical devices were also included for overcurrent protection. A set of time of flight versus jumping distance of an aluminum ring measurement has been made together with voltage and current measurements on the solenoid. Impedance of the solenoid was found using voltage-current linear curve fit. From inductance-impedance relationship, magnetic energy stored in the solenoid was calculated. Ring speeds were calculated to obtain the acceleration and hence the net force applied on the ring. Net force acting on the ring as a function of current was plotted. Finally, ...
Ingeniería Investigación y Tecnología, 2015
There are a lot of applications of the Thomson ring: levitation of superconductor materials, power interrupters (used as actuator) and elimination of electric arcs. Therefore, it is important the numerical modeling of Thomson ring. The aim of this work is to model the stationary levitation of the Thomson ring. This Thomson ring consists of a copper coil with ferromagnetic core and an aluminum ring threaded in the core. The coil is fed by a cosine voltage to ensure that the aluminum ring is in a stationary levitated position. In this situation, the state of the electromagnetic field is stable and can be used the phasor equations of the electromagnetic field. These equations are discretized using the Galerkin method in the Lagrange base space (finite element method, FEM). These equations are solved using the COMSOL software. A methodology is also described (which uses the Newton-Raphson method) that obtains the separation between coil and aluminum ring. The numerical solutions of this...
American Journal of Physics, 2011
The height to which rings will jump in a Thomson jumping ring apparatus is the central question posed by this popular lecture demonstration. We develop a simple time-averaged inductive-phase-lag model for the dependence of the jump height on the ring material, its mass, and temperature and apply it to measurements of the jump height for a set of rings made by slicing copper and aluminum alloy pipe into varying lengths. The data confirm a peak jump height that grows, narrows, and shifts to smaller optimal mass when the rings are cooled to 77 K. The model explains the ratio of the cooled/warm jump heights for a given ring, the reduction in optimal mass as the ring is cooled, and the shape of the mass resonance. The ring that jumps the highest is found to have a characteristic resistance equal to the inductive reactance of the set of rings.
Journal of Geophysical Research, 1998
This paper presents the first simultaneous in situ measurements of the large-scale convection electric field and the ring current induced magnetic field perturbations in the equatorial plane of the inner magnetosphere and compares them to the evolution of major geomagnetic storms as characterized by Dst. The measurements were obtained from the University of California, Berkeley double-probe electric field experiment and the Air Force Geophysics Laboratory fluxgate magnetometer on the CRRES spacecraft. This spacecraft had an apogee near geosynchronous orbit and a perigee near 300 km altitude. We focus on the major geomagnetic storm on March 24, 1991, for which the maximum negative excursion of Dst was about -300 nT. During the main phase of the storm, the large-scale electric field repeatedly penetrated earthward, maximizing between L=2 and L--4 with magnitudes of 6 mV/m. These magnitudes were larger than quiet time values of the electric field by a factor of 60 or more. Electric potential drops across the dusk region from L=2 to L=4 ranged up to 50-70 kV in concert with increases in Kp up to 9 and dDst/dt (an indicator of the net ring current injection rate) which ranged up to -50 nT/hr. These electric fields lasted for time periods of the order of an hour or more and were capable of injecting ring current ions from L=8 to L=2.4 and energizing particles from initial plasma sheet energies of 1-5 keV up to 300 keV through conservation of the first adiabatic invariant. The data obtained during the recovery phase of this storm provide the first direct experimental evidence in the equatorial plane that the electric field is systematically diminished or shielded earthward of the inner edge of the ring current during this phase of the geomagnetic storm. Also observed during the 2-week recovery phase were episodic enhancements in the electric field which coincided and were colocated with enhancements of in situ ring current intensity and which also coincided with decreases in Dst. These enhancements in the electric field and in the ring current magnetic field perturbation occurred at progressively larger radial positions as the recovery phase continued. Evidence for regions of reversed convection near midnight during the recovery phase is provided. An unexpected and important feature of this data set, during both main and recovery phases, near 1800-2100 MLT, is that electric fields are often much stronger earthward of L=4 or L=5 than at positions more distant than L=6. This suggests important features of the interaction between the hot ring current plasma and the large-scale electric field in the inner magnetosphere are not yet understood. nonrelativistic limit, this invariant is KJB, where K• is the kinetic energy associated with gyrational energy perpendicular to the magnetic field. These particles are transported inward to L=2-4, achieving energies of 50 to 300 keV and are the dominant source of energy density and pressure in the inner magnetosphere [Williams and Sugiura, 1985]. There has never been a direct comparison of the experimentally measured large-scale convection electric field in the equatorial plane of the inner magnetosphere to in situ measurements of the ring current magnetic field perturbation, and few comparisons to ring current intensity (Dst) have been made. The typical values of this electric field for quiet time to disturbed conditions, as reported in the literature, range between small fractions of a millivolt per meter to 1 mV/m [Mozer, 1973; Carpenter and Seeley, 1976; Baumjohann et al., 1985; Maynard et al., 1983] (see also the discussion in the work of Lyons and Williams [1984]. Discussion of observations of similar values of the electric field from ionospheric radar may be found in the work of Kelley [1989]. 29,527 29,528 WYGANT ET AL.: BRIEF REPORT
Plasma Sources Science and Technology, 2010
A bare electrodynamic tether (EDT) is a conductive thin wire or tape tens of kilometres long, which is kept taut in space by gravity gradient or spinning, and is left bare of insulation to collect (and carry) current as a cylindrical Langmuir probe in an ambient magnetized plasma. An EDT is a probe in mesothermal flow at highly positive (or negative) bias, with a large or extremely large 2D sheath, which may show effects from the magnetic self-field of its current and have electrons adiabatically trapped in its ram front. Beyond technical applications ranging from propellantless propulsion to power generation in orbit, EDTs allow broad scientific uses such as generating electron beams and artificial auroras, exciting Alfven waves and whistlers, modifying the radiation belts and exploring interplanetary space and the Jovian magnetosphere. Asymptotic analysis, numerical simulations, ground and space tests and past and planned missions on EDTs are briefly reviewed.
2011
Electrostatic (ES) storage rings provide a cost-effective solution to the problem of confining low energy ( � � 1) charged particles and ions, whilst controlling the beam properties, for use in multi-pass experiments. However, compared to magnetic storage rings, the beam dynamics calculations for an ES ring show subtle differences, especially in the coupling of the longitudinal and transverse ve locities and in the focusing properties of bending element fringe fields. Using the nominal design for an existing ES ring, realistic trajectories (including fringe fields and n onlinear field components) have been calculated and a comparison is made with linear lattice simulations. The effect of the non-linear field components on the beam parameters is discussed.
Physics of Plasmas, 2021
Using a novel three-dimensional electromagnetic hybrid code, XHYPERS, we simulate the generation of lower hybrid oscillations in a magnetized plasma by a heavy ion beam with a ring-shaped velocity distribution over much longer periods of time compared to previous simulations. We introduce a phenomenological (effective) electron damping to represent the induced scattering of lower-hybrid waves to whistlers and the loss of energy through whistler propagation out of the turbulent region. We demonstrate the effective electron damping to be a crucial factor in increasing the efficiency of energy deposition by an ion ring velocity beam into plasma turbulence and investigate the efficiency of beam energy extraction as a function of the electron damping rate and beam to plasma ion mass ratio.
Journal Of Geophysical Research: Space Physics, 2021
Charged particles are observed to be injected into the inner magnetosphere from the plasma sheet and energized up to high energies over short distance and time, during both geomagnetic storms and substorms. Numerous studies suggest that it is the short-duration and high-speed plasma flows, which are closely associated with the global effects of magnetic reconnection and inductive effects, rather than the slow and steady convection that control the earthward transport of plasma and magnetic flux from the magnetotail, especially during geomagnetic activities. In order to include the effect of the inductive electric field produced by the temporal change of magnetic field on the dynamics of ring current, we implemented both theoretical and numerical modifications to an inner magnetosphere kinetic model-Hot Electron-Ion Drift Integrator. New drift terms associated with the inductive electric field are incorporated into the calculation of bounce-averaged coefficients for the distribution function, and their numerical implementations and the associated effects on total drift and energization rate are discussed. Numerical simulations show that the local particle drifts are significantly altered by the presence of inductive electric fields, in addition to the changing magnetic gradient-curvature drift due to the distortion of magnetic field, and at certain locations, the inductive drift dominates both the potential and the magnetic gradient-curvature drift. The presence of a self-consistent inductive electric field alters the overall particle trajectories, energization, and pitch angle, resulting in significant changes in the topology and the strength of the ring current.
2011
The advantages of an electrostatic storage ring as compared to a magnetic ring are obvious from the point of view to search for the proton electric dipole moment (pEDM). However the magnetic and electrostatic fields have the different nature and, consequently, different features. In particular, particles moving in electrostatic field, can change their own kinetic energy as electrical field coincides with the direction of motion, which is not so for the magnetic field, where the force is always perpendicular to the direction of motion. The electrostatic rings found many applications in the atomic physics and partly the beam dynamics has been already investigated. However in EDM ring some additional specific features are added, which are considered in this paper. INTRODUCTION The possible experiment to search for the electric dipole moment (EDM) using an electrostatic storage ring is widely discussed now [1]. It may be a ring either with only electrostatic elements, such as in the cas...
International Journal of Mechanical Sciences, 2017
The dynamic stability of rotating elastic circular rings subject to magnetic levitation and radially recentering magnetic forces is studied. A geometrically exact model of elastic rings deforming in space is formulated in the context of the special Cosserat theory of curved rods. A Lagrangian description of the motion is obtained with respect to the rotating frame. The equations of motion are transformed into a set of ODEs according to a Faedo-Galerkin discretization. The effects of the magnetic and gyroscopic forces on the equilibrium states of the ring are investigated together with the loss of stability of the low-frequency modes. Circular elastic rings with open and closed thin-walled cross sections (i.e., L-shaped and boxed cross sections) are considered. The loss of stability occurring at critical angular speeds where the critical modes become unstable is proved to depend on the ring stiffness and cross-sectional symmetry/asymmetry properties.
The terrestrial ring current consists of energetic charged particles owing toroidally around the Earth, and creating a ring of westward electric current, centered at the equatorial plane and extending from geocentric distances of about 3-8RE. Changes in this current are responsible for global decreases in the Earth's surface magnetic ÿeld, which is the deÿning feature of geomagnetic storms. The ring current is a critical element in understanding the onset and development of space weather disturbances in geospace. This review paper discusses recent developments in ring current research, and outlines the presently hottest issues, most of which were addressed at the Ring Current
1987
A two-dimensional 3V particle-in-cell (PIC) computer code is used to study the electron-ring dynamics in a magnetic field configuration that is very similar to that of the modified betatron experiment. The electron-ring dynamics was simulated over approximately 75 revolutions around the major axis, i.e., over several bounce periods. By comparing the electron-ring dynamics in idealized magnetic fields with that in the experiment, it was determined that the field-index spatial fluctuations that occur in the experiment are harmless to high-current rings. In addition, the computer-simulation results have confirmed our theoretical predictions concerning the variations of the ring's equilibrium position with the vertical field as well as the existence, in the ring-centroid-instability gap, of ring orbits having figure-eight (8) shape.
Magnetic levitation is the process of levitating an object by exploiting magnetic fields. If the magnetic force of attraction is used, it is known as magnetic suspension. If magnetic repulsion is used, it is known as magnetic levitation.
This chapter reviews the current understanding of ring current dynamics. The terrestrial ring current is an electric current flowing toroidally around the Earth, centered at the equatorial plane and at altitudes of ∼10,000 to 60,000 km. Enhancements in this current are responsible for global decreases in the Earth's surface magnetic field, which have been used to define geomagnetic storms. Intense geospace magnetic storms have severe effects on technological systems, such as disturbances or even permanent damage of telecommunication and navigation satellites, telecommunication cables, and power grids. The main carriers of the ring current are positive ions, with energies from ∼1 keV to a few hundred keV, which are trapped by the geomagnetic field and undergo an azimuthal drift. The ring current is formed by the injection of ions originating in the solar wind and the terrestrial ionosphere into the inner magnetosphere. The injection process involves electric fields, associated with enhanced magnetospheric convection and/or magnetospheric substorms. The quiescent ring current is carried mainly by protons of predominantly solar wind origin, while active processes in geospace tend to increase the abundance (both absolute and relative) of O + ions, which are of ionospheric origin. During intense geospace magnetic storms, the O + abundance increases dramatically. This increase has been observed to occur concurrently with the rapid intensification of the ring current in the storm main phase and to result in O + dominance around storm maximum. This compositional change can affect several dynamic processes, such as species-and energy-dependent charge-exchange and wave-particle scattering loss.
Proceedings of the International Round Table on Tethers in Space International Round Table on Tethers in Sp 28 30 Sep Noordwijk, 1994
Ionospheric interaction experiments using a conductive, fully bare tether are discussed. With an optimal design, requiring 1.15 mm diameter and 7.5 km full length for a collected current of 0.87 A at day conditions, the tether radiates 0.33 watts as Fast Magnetosonic waves and 0.16 watts as Alfven waves. Secondary keV electrons are produced over a 6.5 km length, giving raise to noticeable auroral effects in the D-layer, at low geomagnetic latitudes. A preliminary design of the experiment, to be implemented on either a satellite or a Station, has been carried out. An ejector gives an initial velocity to an end mass, a free spool of tether unwinding from that mass during a first stage of deployment; other phases are monitored through the tether velocity, driving a reel with an unwinding device.
AIP Conference Proceedings, 2006
Electron Ring (UMER) is built as a low-cost testbed for intense beam physics for benefit of larger ion accelerators. The beam intensity is designed to be variable, spanning the entire range from low current operation to highly space-charge-dominated transport. The ring has been closed and multi-turn commissioning has begun. One of the biggest challenges of multi-turn operation of UMER is correctly operating the Y-shaped injection/recirculation section, which is specially designed for UMER multi-turn operation. It is a challenge because the system requires several quadrupoles and dipoles in a very stringent space, resulting in mechanical, electrical, and beam control complexities. Also, the earth's magnetic field and the image charge effects have to be investigated because they are strong enough to impact the beam centroid motion. This thesis presents both simulation and experimental study of the beam centroid motion in the injection region to address above issues.
Geophysical Research Letters, 1997
A 3-dimensional kinetic model has been developed to study the dynamics of the storm time ring current in a dipole magnetic field. In this paper, the ring current model is extended to include a realistic, time-varying magnetic field model. The magnetic field is expressed as the cross product of the gradients of two Euler potentials and the bounce-averaged particle drifts are calculated in the Euler potential coordinates. A dipolarization event is modeled by collapsing a tail-like magnetosphere to a dipole-like configuration. Our model is able to simulate the sudden enhancements in the ring current ion fluxes and the corresponding ionospheric precipitation during the substorm expansion. loop" was added to the Olson and Pfitzer model. In RCM, the bounce-averaged drifts were calculated with the assumption that the particle PAD is isotropic. In this paper, our ring current model is extended to include a realistic, activity-dependent magnetic field model, more specifically, the Tsyganenko 89 model [Tsyganenko, 1989]. The storm on May 2, 1986, which has been studied previously [Fok et al., 1996], is simulated using our improved model. In the following, the derivation of the bounce-averaged drift of particles with arbitrary pitch angles, in an arbitrary magnetic field configuration, will be given. We will then present the results of ion flux enhancements and the corresponding precipitation at the ionosphere as we model a dipolarization event.
Proceedings of the 2005 Particle Accelerator Conference
The Small Isochronous Ring (SIR) has been in operation since December 2003. The main purpose of this ring, developed and built at the National Superconducting Cyclotron Laboratory (NSCL) at Michigan State University (MSU), is to simulate the dynamics of intense beams in large accelerators. To observe the same effects, the beam power needed in SIR is orders of magnitude lower and the time scale is much longer than in the full scale machines. These differences simplify the design and operation of the accelerator. The ring measurements can be used to validate the results of space charge codes. After a variable number of turns, the injected hydrogen bunch (with energies up to 30 keV) is extracted and its longitudinal profile is measured using a fast Faraday cup. We present a summary of the design, the results of the first six months of operation and the comparison with selected space charge codes.
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