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Topic: Solenoidal field

	Vector potential - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-30)
		In vector calculus, a vector potential is a vector field whose curl is a given vector field.
		This is analogous to a scalar potential, which is a scalar field whose negative gradient is a given vector field.
		A generalization of this theorem is the Helmholtz decomposition which states that any vector field can be decomposed as a sum of a solenoidal vector field and an irrotational vector field.
	www.sciencedaily.com /encyclopedia/vector_potential (253 words)

	DAFNE INTERACTION REGIONS
		The solenoidal fields of the detectors are a strong source of coupling and must therefore be carefully compensated to avoid the growth of the vertical beam size.
		The compensation is achieved by means of a couple of superconducting solenoids, one on each side of the experimental detectors, near the splitters, with a longitudinal field opposite to the main solenoid one and with the same total integrated field.
		The overall focusing effect of the low-beta quadrupoles and fringing field of the solenoids is the same for the KLOE, FINUDA and DAY-ONE insertions.
	www.lnf.infn.it /acceleratori/dafne/interact.html (1084 words)

	EXPERIMENT #4
		The value of the magnetic field can be determined by knowing the geometry of the coil and the current passing through it.
		This field strength must be determined by multiplying the current supplied by a calibration constant for the coil used.
		The magnetic field H is in units of Oersteds and lengths are in centimeters.
	www.ornl.gov /info/reports/m/ornlm3063r1/exp4.html (214 words)

	U.S. Patent: 6004257 - Method for ameliorating the aging process and the effects thereof utilizing electromagnetic ...
		The solenoid is placed in a waterproof bathtub (e.g., pool) 18 meters in length, 9 meters in width, and 9 meters in depth, so as to manufacture clearance for magnetic flux, and immersed in water (ordinary sea water), to a level reaching two-thirds of the diameter of the inner core of the solenoid.
		A solenoid comprising germanium wire (55 ohms/cm) or copper wire, using forty turns, is prepared in the form of a circular pool six feet deep.
		The geomagnetic field is attuned to viral and cellular length in terms of relating gravitational potential of critical molecules and EM fields in duel resonance, according to inertial electromagnetic induction systems.
	www.everypatent.com /comp/pat6004257.html (11975 words)

	[No title]
		4 was initiated with the representation of an irrotational vector field E, this chapter began by focusing on the solenoidal character of the magnetic flux density.
		The determination of the magnetic field intensity, given the current density everywhere, was pursued first using the vector potential.
		The homogeneous solution is both irrotational and solenoidal, so it is possible to use either the vector or the scalar potential to represent this part of the field everywhere.
	web.mit.edu /6.013_book/www/chapter8/8.7.html (896 words)

	Vector potential (Site not responding. Last check: 2007-10-30)
		In vector calculus, a vector potential is a vector field which generates a solenoidal vector field.
		Note that a solenoidal field cannot be described as having a scalarpotential.
		Imagine the A field on the x-y plane as a groupof vertical pillars rising from the ground: their height is the magnitude of A.
	www.therfcc.org /vector-potential-143028.html (926 words)

	Bio-Med
		Destined for use within the solenoidal field of an MRI, it is designed for use where the subject, in this case a rat, must be tracked in order to obtain an image.
		By moving the composite field (MRI Solenoid plus Bio-Med dipole) to track the rat, it is possible to allow the rat some freedom of motion, while still imaging the brain functions.
		The rapidly changing field is capable of generating kilowatts of heat within a stainless support tube normally used to support the coil.
	www.bnl.gov /magnets/BioMed/BioMed.asp (359 words)

	Vector potential (Site not responding. Last check: 2007-10-30)
		Note that a solenoidal field cannot be described as having a scalar potential.
		The answer given here to this question will emphasize two points: (1) (a) It is evident that: a curl can be used to measure a solenoidal field (the curl of the field is proportional to the angular velocity).
		Imagine the A field on the x-y plane as a group of vertical pillars rising from the ground: their height is the magnitude of A.
	vector-potential.area51.ipupdater.com (1445 words)

	Incompressible flow - Wikipedia, the free encyclopedia
		An incompressible flow is described by a velocity field which is solenoidal.
		But a solenoidal field, besides having a zero divergence, also has the additional connotation of having non-zero curl (i.e., rotational component).
		Otherwise, if an incompressible flow also has a curl of zero, so that it is also irrotational, then the velocity field is actually Laplacian.
	en.wikipedia.org /wiki/Incompressible_fluid (153 words)

	About CRPP
		Suitable magnetic fields are able to confine the plasma since the motion of the plasma ions and electrons follows a helical path around a magnetic field line.
		Increasing the strength of the field at the ends of a linear solenoidal field causes most of the particles to be reflected back and forth.
		The reversed field pinch system is similar to the tokamak in that it has a toroidal magnetic field coupled with the poloidal field due to a plasma current.
	crppwww.epfl.ch /crppfusion (2262 words)

	ATLAS experiment - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-30)
		The magnetic field surrounding the entire inner detector causes charged particles to curve; the direction of the curve reveals a particle's charge and the degree of curvature reveals its momentum.
		The calorimeters are situated outside the solenoidal magnet that surrounds the inner detector.
		The outer toroidal magnetic field is produced by eight very large air-core superconducting barrel loops and two end-caps, all situated outside the calorimeters and within the muon system.
	www.knowledgehunter.info /wiki/ATLAS_experiment (3389 words)

	Field-Reversed Magnetic Mirrors for Confinement of Plasmas
		The proposed FRC is intended to increase the degree of confinement achievable by a mirror magnetic field of a given flux density and/or to reduce the flux density needed to obtain a given degree of confinement.
		Efforts to reduce the rate of loss of plasma by increasing the mirror magnetic field have been unsuccessful because the required mirror magnetic-flux density is unrealistically high.
		One notable technique, pioneered at the University of Washington, involves the superposition of a magnetic field that rotates at a frequency between the electron and ion gyrofrequencies.
	www.nasatech.com /Briefs/Mar01/MFS31289.html (403 words)

	Orðasafn: S (Site not responding. Last check: 2007-10-30)
		solenoidal field uppsprettulaust svið, = source-free field, = zero-divergence field.
		source-free field, = solenoidal field, = zero-divergence field.
		splitting field klofningssvið, = decomposition field, = field of decomposition, = root field.
	www.hi.is /~mmh/ord/safn/safnS.html (3085 words)

	BaBar Workbook: The BaBar Detector
		Solenoid (not a subdetector) - provides the 1.5 T magnetic field for needed for charge and momentum measurements.
		But when a magnetic field is present, the charged tracks curve, and the charge and momentum of the particle can be determined from the direction and curvature of the track.
		The +z axis is parallel to the magnetic field of the solenoid and in the direction of the High Energy (nominally the electron) beam.
	www.slac.stanford.edu /BFROOT/www/doc/workbook/detector/detector.html (1911 words)

	The KVI is involved in various EU sponsored networks and RTD’s
		This applies both to the solenoidal field used for longitudinal confinement and the hexapole field for the radial confinement.
		The solenoidal field is in general produced with copper coils.
		A system, where both the solenoidal and the hexapole field are generated with conventional superconducting coils, cooled by liquid helium.
	www.kvi.nl /~trimp/web/html/KVI_RTD.htm (1331 words)

	Incompressible fluid - InformationBlast
		In fluid mechanics, an incompressible fluid is a fluid whose density (often represented by the Greek letter ρ) is constant: it is the same throughout the field and it does not change through time.
		Q.E.D. An incompressible fluid is described by a velocity field which is solenoidal.
		But a solenoidal field, besides having a zero divergence, also has the additional connotation of having non-zero curl (i.e.
	www.informationblast.com /Incompressible_flow.html (214 words)

	PlanetMath: solenoidal field
		A solenoidal vector field is one that satisfies
		Cross-references: Laplace's equation, function, vector, implies, divergence, point, satisfies, vector field
		This is version 6 of solenoidal field, born on 2002-11-13, modified 2004-10-18.
	www.planetmath.org /encyclopedia/Solenoidal.html (60 words)

	Incompressible fluid (Site not responding. Last check: 2007-10-30)
		In fluid mechanics, an incompressible fluid is afluid whose density (often represented by the Greek letter ρ) is constant: it is the same throughout the field andit does not change through time.
		An incompressible fluid is described by a velocity field which is solenoidal.
		But a solenoidal field, besides having a zero divergence, also has the additional connotation ofhaving non-zero curl (i.e.
	www.therfcc.org /incompressible-fluid-38072.html (206 words)

	Charge sheath vortex basics
		When a moving charge passes through a magnetic field it experiences a force which is perpendicular to both the magnetic field and the velocity.
		Note that the direction of the magnetic field produced by the charge particle (arrows point to the south pole) is the opposite direction in relation to the circular path of the charged particle as in the diagram above.
		The forces between the charge particles within the charge sheath are balanced by the charge field in the surrounding region in a large cloud, so the force of repulsion between the charges is zero -only the electromagnetic field remains.
	www.peter-thomson.co.uk /tornado/fusion/Charge_sheath_vortex_basics.html (1416 words)

	CRYEBIS: Cryogenic Electron Beam Ion Source
		The solenoidal field acts to compress the electrons into the flow regime known as "Brillouin flow".
		Arrayed around the beam, down the bore of the solenoid are sets of cylindrical electrodes.
		Collisionally ionized atoms are trapped radially by the space-charge of the electron beam and axially by the fields put on the electrodes.
	jrm.phys.ksu.edu /cryebis.html (219 words)

	On the "Electric Sun" Hypothesis
		That magnetic field cannot be generated by the current in the diagram, because it has the wrong geometry.
		There is no such field outlined by the plasma, which implies that the glow we see in the TRACE image is not from an electric current of single charge, but from a hot plasma that carries both negative & positive charge.
		Magnetic field lines don't "break", they "merge", and their merger is not a violation of Maxwells equations, because the divergence condition is never violated (Scott simply misunderstands the jargon of the trade).
	www.tim-thompson.com /electric-sun.html (8501 words)

	[No title]
		As many plasma devices utilize magnetic confinement fields, a couple of articles describe experiments in which the OA4-G is immersed in a field.
		Experiments in a solenoidal field are described in "Behavior of a Single Langmuir Probe in a Magnetic Field" (J.T. Pytlinski, H.J. Donnert and I. Alexeff, December 1978).
		Here, multi-dipole magnetic fields as might be encountered in plasma apparatus such as fusion reactors and ion sources are simulated by surrounding the tube with up to 16 small disk magnets that are attached to the inside of a steel coffee can, 3 lb.
	www.eskimo.com /~billb/amateur/blljar4.txt (2035 words)

	Divergence of Electric Field
		This violates it because the divergence of the electric field is zero.
		The electric field (induced by the point charge) is undefined at the origin (you've got a singularity there).
		If we have a solenoidal field (field without source) then the divergence of this field is equal 0.
	www.physicsforums.com /showthread.php?t=39141 (1220 words)

	Facilities.html
		The development and construction of such advanced facilities required specific competencies, not only in the field of beam dynamics, but also in infrastructures and technologies that are currently available on the premises.
		Test using high magnetic fields inside the cryostat are in progress and the commissioning should be completed during the 2000.
		This low temperature facilities associated to an intense magnetic field (8T superconducting magnet) is particularly suitable to investigate the increase of the superconducting properties loading H in HTSC samples.
	www.lnf.infn.it /cee/Facilities.html (2061 words)

	In-Beam Conversion Electron Spectroscopy (Site not responding. Last check: 2007-10-30)
		The magnetic field to transport electrons from the target to detector was provided by a large super-conducting solenoid.
		The device is operated in (close to) collinear geometry, such that the solenoid field axis is at an angle of approximately 2.5 degrees to the beam axis, the beam passing on one side of the detector array to the target.
		One experimental difficulty is the reduction of the background flux of low-energy delta electrons produced with large cross sections by the interaction of the beam with the target.
	www.phys.jyu.fi /research/gamma/sacred (401 words)

	D0 Control Room Procedures
		The Solenoid and Toroid Power Supply displays can be found on the Ops Shifter console between the CFT and SMT Shifter consoles.
		The solenoid polarity will flip once per month normally in the first week of the month, but this flip may be advanced or delayed by a week if there is some other impending need to power down the solenoid.
		Solenoid and on the faces of the Central Calorimeter are read out and logged to the D0 online production database.
	www-d0.fnal.gov /runcoor/runplans/control_room.html (5096 words)

	Charge sheath vortex basics for tornado
		The magnetic fields will thus result in the development of an electric field, with the highest charge in the central region of the vortex tube.
		This electric field ensures that the dipoles in the rotating airstream remain orientated as dipoles, with the opposite charge to the central core facing inwards.
		It is a combination of the hydrodynamic pressures, electromagnetic fields and electric fields on the dipoles and air.
	www.peter-thomson.co.uk /tornado/fusion/Charge_sheath_vortex_basics_for_tornado.html (3791 words)

	Nuclear Fusion
		In an open configuration, the charged particles, which are spiraling along magnetic field lines maintained by a solenoid, are reflected at each end of a cell by stronger magnetic fields.
		In a tokmak the primary confining field is totoidal and is produced by coils of surrounding the vacuum vessel.
		The poloidal magnetic field, at right angles, that stronger toroidal field, acting together, yield magnetic field lines that spiral around the torus.
	www.studyworld.com /newsite/ReportEssay/Science/Physical/Nuclear_Fusion-381552.htm (1169 words)

	Anti Essays : : Why nuclear fusion is so cool (Site not responding. Last check: 2007-10-30)
		fields to contain the charged particles that constitute a plasma.
		In a tokmak the primary confining field is totoidal and is
		of a vertical drift that occurs because magnetic field is stronger on
	www.antiessays.com /print.php?eid=1381 (1925 words)

	ipedia.com: Vector potential Article (Site not responding. Last check: 2007-10-30)
		Any solenoidal velocity field v s should have a potential A such that Note that a solenoidal field c...
		(1) (a) It is evident that: a curl can be used to measure a solenoidal field (the curl of the field is proportional to the angular velocity).
		Now we will examine more evidence, this time much more general, that can be parallel to A: let the potential field A be parallel to itself throughout an entire region, or through all space.
	www.ipedia.com /vector_potential.html (1092 words)

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