Derivations of Relativistic Force Transformation Equations

Redžić, Dragan V; Davidović, Dragomir; Redzic, Milan

doi:10.1163/156939311795762178

Cited by 7 publications

(16 citation statements)

References 24 publications

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“…Alternatively, the same result is obtained applying the relativistic force transformation equations (cf, e.g., [31,32]) to f →q . (Note that application of the relativistic force transformation equations can be somewhat tricky [33,34].)…”

Section: The Force Acting On Q and The Charge Distribution Stability mentioning

confidence: 86%

“…The solution is simple: in Σ , where the conductor is at rest, the electrostatic force on the same element of charge σ dS (charge invariance) is dF = (σ dS /2)E , where E is the electrostatic field just outside the surface. Applying the relativistic force transformation equations for the Lorentz force expression [31,32] to dF , one gets that the electromagnetic force on the surface charge element as measured in Σ is given by…”

Section: The Force Acting On Q and The Charge Distribution Stability mentioning

confidence: 99%

See 1 more Smart Citation

An Extension of the Kelvin Image Theory to the Conducting Heaviside Ellipsoid

Redžić¹,

Eldakli²,

Redzic³

2011

PIER M

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Section: The Force Acting On Q and The Charge Distribution Stability mentioning

confidence: 86%

Section: The Force Acting On Q and The Charge Distribution Stability mentioning

confidence: 99%

An Extension of the Kelvin Image Theory to the Conducting Heaviside Ellipsoid

Redžić¹,

Eldakli²,

Redzic³

2011

PIER M

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“…Nonetheless, the traditional Lorentz transformation for force predicts that the transverse force vectors acting on a moving object (our vehicle) are measured smaller in the lab frame. [7,9] This means that the force exerted by 1 S in the vehicle's rest frame ( 1 F ) is reduced as measured by the lab observer ( 1 F  ), and we have:…”

Section: -(C) the Displacement Ofmentioning

confidence: 99%

“…[4][5][6] The by-product of these attempts is the Lorentz transformation for the force which, in a specific case, asserts that transverse force vectors acting on a moving object are reduced, whereas the longitudinal ones are left unchanged as measured in the lab frame. [7,8] Besides, as it is interpreted from the Galilean postulate of relativity, length intervals perpendicular to the direction of travel are left unchanged as measured in both the rest and lab frames of reference.…”

Section: Introductionmentioning

confidence: 99%

Is there any rational transformation for the relativistic force?

Javanshiry¹

2020

Ann_UGAL_Math_Phys_Mec

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A simple thought experiment is carried out through which it is shown that the accepted Lorentz transformation for force results in irrational anomalies in the transverse direction. A spring, in its equilibrium state, is set in motion and considered to pass under a contracted spring located in the lab frame of reference. Applying the traditional Lorentz transformation, it is demonstrated that the final lengths of the springs, as they meet each other, are measured differently from the viewpoint of two inertial observers.

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“…In this paper, we attempt to give an analysis free from contradictions of charges and fields of an infinite current-carrying wire modeled as in Reference [19], both in the ions and electrons rest frames. The analysis leads to some interesting insights and, hopefully, could be an intriguing reading for the student of relativistic electrodynamics, together with our recent contributions to the subject [2,22].…”

Section: Introductionmentioning

confidence: 98%

Charges and fields in a current-carrying wire

Redžić

2012

Eur. J. Phys.

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Charges and fields in a straight, infinite, cylindrical wire carrying a steady current are determined in the rest frames of ions and electrons, starting from the standard assumption that the net charge per unit length is zero in the lattice frame and taking into account a self-induced pinch effect. The analysis presented illustrates the mutual consistency of classical electromagnetism and Special Relativity. Some consequences of the assumption that the net charge per unit length is zero in the electrons frame are also briefly discussed. IntroductionAs is well known, combining Coulomb's law, charge invariance and the transformation law of a pure relativistic three-force [1,2], one can derive the correct equation for the force with which a point charge in uniform motion acts on any other point charge in arbitrary motion, and thus recognize both the E E E and B B B fields of a uniformly moving point charge and the corresponding Lorentz force expression [3][4][5]. Thus one can prove indirectly, without introducing general transformations for E E E and B B B, that the Lorentz force expression, f f f L ≡ qE E E + qu u u ×B B B, transforms in the same way as the time derivative of the relativistic momentum of a particle with time independent mass, in the special case of E E E and B B B due to a uniformly moving point charge. Following the same line of reasoning, the so-called relativistic nature of the magnetic field is often illustrated by discussing the force on a charged particle outside a current-carrying wire, or the force between two parallel current-carrying wires [5][6][7][8]. (Note that in the latter case, contrary to the widespread opinion,

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Derivations of Relativistic Force Transformation Equations

Cited by 7 publications

References 24 publications

An Extension of the Kelvin Image Theory to the Conducting Heaviside Ellipsoid

An Extension of the Kelvin Image Theory to the Conducting Heaviside Ellipsoid

Is there any rational transformation for the relativistic force?

Charges and fields in a current-carrying wire

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