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Topic: Lorentz force law

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Lorentz equation

Electromagnetic field

Electromagnetism

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A Dynamical Theory of the Electromagnetic Field

Potential

Magnetic field

Cross product

Electromotive force

Gauge transformation

Electric charge

Electromagnetic induction

Electricity

Electric motor

	Lorentz force - Wikipedia, the free encyclopedia
		In physics, the Lorentz force is the force exerted on a charged particle in an electromagnetic field.
		The Lorentz force equation can be written in covariant form in terms of the field strength tensor (cgs units).
		The Lorentz force can also act on a current carrying conductor, in this case called Laplace Force, by the interaction of the conduction electrons with the atoms of the conductor material.
	en.wikipedia.org /wiki/Lorentz_force (372 words)

	Magnetic field - Wikipedia, the free encyclopedia
		Thus, using special relativity, magnetic forces are a manifestation of electrostatic forces of charges in motion and may be predicted from knowledge of the electrostatic forces and the velocity of movement (relative to some observer) of the charges.
		Thus, according to Einstein's field transformation equations (that is, the Lorentz transformation of the field from a proper reference frame to a non-moving reference frame), part of it is manifested as an electric field component.
		Because the Lorentz force is charge-sign-dependent (see above), it results in charge separation when a conductor with current is placed in a transverse magnetic field, with a buildup of opposite charges on two opposite sides of conductor in the direction normal to the magnetic field, and the potential difference between these sides can be measured.
	en.wikipedia.org /wiki/Magnetic_field (2949 words)

	Magnetic forces
		The magnetic field B is defined from the Lorentz Force Law, and specifically from the magnetic force on a moving charge:
		The force is perpendicular to both the velocity v of the charge q and the magnetic field B. The magnitude of the force is F = qvB sinθ where θ is the angle
		The electric force is straightforward, being in the direction of the electric field if the charge q is positive, but the direction of the magnetic part of the force is given by the right hand rule.
	hyperphysics.phy-astr.gsu.edu /hbase/magnetic/magfor.html (307 words)

	ASP PAPER 6
		Today the Lorentz force, which is a contracted electrodynamic force law, is used in preference to those of Ampere and others and, relying on the Lorentz force formulation, Trouton and Noble [1] in 1903 performed an experiment aimed at detecting the earth's motion through the aether.
		The Lorentz force excludes energy transfer by induction by restricting attention to the force component perpendicular to the motion of e'.
		The Lorentz force law as deduced from Einstein's theory is unable to distinguish between the behaviour of hadrons and leptons.
	www.aspden.org /books/Asp/P6.html (4722 words)

	[No title]
		Thus, the Lorentz law for a stationary charge is implied by the EQS laws.
		He derived the force law for moving magnetic charges, of which (21) is the special case for a stationary charge.
		Because the force is different depending upon whether one uses the magnetic charge model or the circulating current model for the magnetic dipole, so his reasoning went, and because the circulating current model is the physically correct one, the magnetic charge model is incorrect.
	web.mit.edu /6.013_book/www/chapter11/11.8.html (2792 words)

	EcEn 360 Tutorials-Maxwell's Law-Lorentz Force Equation (Site not responding. Last check: 2007-10-24)
		Lorentz found that a magnetic field would exert a force on an electric charge only if it was moving.
		He then found that the force on a moving charge is proportional to the strength of the magnetic field and the speed of the charge.
		The direction of the force is always perpendicular to both the magnetic field and the velocity of the charge.
	www.ee.byu.edu /em/lorentz.htm (191 words)

	MARINOV
		Peter Graneau has held tenaciously to his opinion that Ampere's law holds valid, agreeing with me that the Lorentz force law is inadequate but going expressly counter to my interpretation of the force law, mine being the version that leads directly to the form of the law of gravitation.
		That is where the anomalous cathode reaction forces began to show in the early decades of the 20th century, but those anomalies were duly ignored by those more concerned with the mathematics of so-called four-space, thereby leaving open the scope for the debate I initiated on the subject in the 1960s.
		This indicated that the electrodynamic forces between the arms of the antenna were balanced, a result inconsistent with the Lorentz force law but consistent with the Ampere law or the one which I have advocated for many years.
	www.energyscience.org.uk /notes/rn9715.htm (2383 words)

	No Title
		The armature is free to slide along the rails, so the Lorentz force causes it to slide along the rails, away from the power source.
		Use Newton's equation of motion to relate the Lorentz force law to the mass and acceleration of the armature.
		The force on the armature is also equal to the mass of the armature times the acceleration of the armature (Newton's 2nd law of motion, F=ma).
	www.railgun.org /physics (1716 words)

	Re: Lagrangian FROM evolution equations?
		Yes, the Lorentz force law CAN be expressed with a 4-vector potential leading to Maxwell's equations without monopoles except if one adopts the chart strategy.
		Allow monopoles and the Lorentz force law is not integrable (there's a some non-integrability somewhere!).
		The Helmholtz > conditions for the Lorentz force equations of motion - when the > latter are viewed as a system of second order ODEs for a particle's > position in R^3 - are precisely the div B and curl E equations.
	www.lns.cornell.edu /spr/2000-01/msg0020735.html (597 words)

	Force
		In fact it indicates two forces, one for the interaction of the electric fields and one for the interaction of the magnetic fields.
		To then derive the relevant force laws in general, it is only necessary to utilize the appropriate interaction energies of the fields of two sources.
		This is the force law required to remain consistent with the energy content of the electric and magnetic fields.
	home.netcom.com /~heensle/phys/book/force.html (1003 words)

	The Lorentz force
		It seems reasonable, therefore, that the force exerted on the wire when it is placed in a magnetic field is really the resultant of the forces exerted on these moving charges.
		The electric force on a charged particle is parallel to the local electric field.
		The magnetic force, however, is perpendicular to both the local magnetic field and the particle's direction of motion.
	farside.ph.utexas.edu /teaching/em/lectures/node33.html (967 words)

	Concepts and Tasks (Site not responding. Last check: 2007-10-24)
		There are also many different kinds of demonstrations which illustrate the fact that a force is exerted upon an electric current when it flows through a magnetic field (the Lorentz force law).
		It is possible to verify the basic ideas behind the Lorentz force law with this kind of experiment.
		A magnetic field exerts a force on an electric current according to the Lorentz force law.
	www.essrl.wustl.edu /~ctm2/motors/motor_guide.htm (745 words)

	Wisp Unification Theory - almost the theory of everything
		The force will be calculated by stationary and moving observers, first with the wire at rest in absolute wisp space, and then with the wire and observer moving.
		The effects of force and jiggle dilations apply to all moving charges, but because the positive ions are moving slower than the electrons through wisp space, their dilation effects are smaller.
		We have proven that all observers measure electromagnetic forces as having the same magnitude in all inertial frames, and so wisp theory proves that the Lorentz force law is valid in an ether medium – wisp space.
	www.kevin.harkess.btinternet.co.uk /wisp_ch_8/wisp_ch_8.html (1383 words)

	Lie derivative
		Is it not in violation of the Lorenz force?
		Neither is the Lorentz force equal to THE LIE DERIVATIVE acting on covariants (differential forms) ** The Lie derivative with respect to V acting on a covariant exterior 1-form A has two parts.
		Neither is the Lorentz force > equal to THE LIE DERIVATIVE acting on covariants (differential forms) ** > The Lie derivative with respect to V acting on a covariant exterior > 1-form A has two parts.
	quantumfuture.net /quantum_future/lie.htm (8445 words)

	Derivation of Relativistic Acceleration Relations
		As it’s well known Einstein’s method [1] in deriving the LT aimed to an interpretation of the invariance of light speed, which was not included in Galilean transformation.
		It is possible to replace the Cartesian components of Lorentz force with their equivalent in relations (6).
		As we have shown, the postulates chosen [9a,9b], (relativity principle and Lorentz force law (LFL)) enable us to cancel the LT and its kinematical effects from the main body of SRT.
	www.wbabin.net /hamdan/hamdan2.htm (937 words)

	Electricity and Magnetism
		This law described the variation of the force between two charges, separated by a distance r.
		Using this simple law, which accurately describes experimental fact, was used to define the electric field.
		Using the lorentz force law, we can find the force on a wire carrying a current in an external magnetic field.
	scitec.uwichill.edu.bb /cmp/online/p10D/sodha/Lecture20/lect20.htm (966 words)

	Contents
		Discusses (a) the reaction forces when a tiny spherical shell of charge is accelerated, and (b) the counteracting, non-electromagnetic agent force.
		Shows that the force required to make the charge oscillate equates to the negative of the force experienced by the shell in its own electric field, etc. Includes the first conclusive evidence that the Radiation Reaction force of Abraham and Lorentz is a real physical phenomenon.
		It is a purely relativistic (Lorentz Transformation) effect which, once appreciated, enhances one's appreciation of the way a purely magnetic field in one inertial frame transforms to a combination of electric and magnetic fields in another.
	www.maxwellsociety.net /contents.htm (2697 words)

	work done by magnetic field
		If we're talking about forces on magnetic dipoles then said force is F=grad(m B) but this formula comes from the Lorentz force law.
		Magnetic forces may alter the 'direction' in which a particle moves, but they cannot speed it up or slow it down.
		The fact that magnetic forces do no work is an elementary and direct consequence of the Lorentz force law, but there are many situations in which it appears so manifestly false that one's confidence is bound to waver.
	www.physicsforums.com /showthread.php?t=31239&page=2 (1333 words)

	Maxwell equations in Human-scale Planck units (Site not responding. Last check: 2007-10-24)
		As a convenience for readers with a college physics background who might be interested, here are the Lorentz force law and Maxwell's equations in human-scale Planck units with emphasis on the commensurability of the two fields.
		The classic symmetry of the equations is preserved and some metric system fudge (involving phoney constants epsilon and mu naught) is avoided.
		The unit field exerts ling force (about 121 newtons) on each quint of charge (about one sixth of a Coulomb).
	www.planck.com /maxwell2.htm (508 words)

	Force in Hertzian Electrodynamics
		Since the electric field is traditionally defined as the force on unit electric charge, it seems anomalous in Maxwell’s theory to say instead that such force involves some-thing additional (viz., the magnetic component of the Lorentz force).
		To say that the force on q is something else is inconsistent both with the above verbal definition of electric field and with logical economy.
		Thus by a suitable gauge choice it is possible to relate the Hertzian field quantities to observable force on a charge q by the same formal law as that traditionally employed to accomplish the same thing in Maxwell’s theory.
	www.andrijar.com /phipps (3334 words)

	Introduction (Site not responding. Last check: 2007-10-24)
		Magnetohydrodynamics, or MHD for short, is an application of the Lorentz Force Law which can be used to propel boats and such in an ionic solution, such as salty sea water.
		This type of propulsion unit is still being considered as an efficient mode of transportation by some industries of the world however there are still some major engineering problems to overcome.
		The presentation itself might have some added demonstrations involving the relationship between electricity and magnetism (for example to make an electromagnet out of a nail and some copper wire.), but in general the core presentation is to explain, at a senior high school level, the concept of magnetohydrodynamics.
	www.physics.ubc.ca /~outreach/phys420/p420_96/reg/main.htm (316 words)

	Electricity and Magnetism
		We shall answer this question using the Lorentz force law, and the Lorentz force on a wire expression.
		Recall the expression for the force on a wire carrying a current in an external magnetic field given by
		For an element of the rod of length dx, the force on it
	scitec.uwichill.edu.bb /cmp/online/p10D/sodha/lecture16/lect16.htm (348 words)

	Lorentz force (Site not responding. Last check: 2007-10-24)
		The force as indicated is given by the right hand rule and the charge tends to move downward so a bit later the situation looks as follows
		Since the force is always perpendicular to the velocity, the situation here is a bit like a rock on a string moving in a circle.
		Since the motion is circle we use the form of Newton’s 2nd law involving centripetal acceleration (toward the center of the circle)
	patsy.hunter.cuny.edu /CORE/CORE4/LectureNotes/Magnetics/magnetic2.htm (482 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		You can write the following: in the Lorentz Force Law: qv = IL where L represents the vector length of the wire, and I is the conventional current.
		Later, in more advanced study, in fact the current is defined in terms of the force exerted on it by the magnetic field and our older definition of current as the time rate of change of charge will kind-of go by the wayside.
		We’re also told that the force on the wire is in the —y direction.
	www.lyon.edu /webdata/users/shutton/phys220-spring2004/ws11-220.doc (1528 words)

	Lorentz Force Law and Right Hand Rule (Site not responding. Last check: 2007-10-24)
		The Lorentz Force Law can be used to describe the effects of a charged particle moving in a constant magnetic field.
		The simplest form of this law is given by the scalar equation
		F is the force acting on the particle (vector)
	www.physics.ubc.ca /~outreach/phys420/p420_96/reg/rhr_lor.htm (186 words)

	Introduction to Mass Spectrometry
		All commonly used mass analyzers use electric and magnetic fields to apply a force on charged particles (ions).
		The relationship between force, mass, and the applied fields can be summarized in Newton's second law and the Lorentz force law:
		From Newton's second law, it is apparent that the force causes an acceleration that is mass-dependent, and the Lorentz force law tells us that the applied force is also dependent on the ionic charge.
	www.ivv.fhg.de /ms/ms-introduction.html (385 words)

	temp
		The aim of this course is to establish a grounding in electromagnetism in preparation for more advanced courses.
		The major concepts covered are: the abstraction from forces to fields using the examples of the gravitational, electric and magnetic fields, with some applications; the connection between conservative forces and potential energy; how charges move through electric circuits; the close connection between electricity and magnetism, leading to the discovery of electromagnetic waves.
		Electric field: Coulomb's law, superposition principle, electric field and electrostatic potential, field patterns and equipotentials, Gauss' law, capacitance, conductors and insulators, analogy to gravity
	www.phys.soton.ac.uk /ugadmin/profiles/phys1022 (554 words)

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