General form of the equation of motion for a point charge

1989 ◽  
Vol 30 (8) ◽  
pp. 1713-1720 ◽  
Author(s):  
Abraham Lozada
Keyword(s):  
Point Charge ◽  
Equation Of Motion

scholarly journals THE SELF-FORCE OF A CHARGED PARTICLE IN CLASSICAL ELECTRODYNAMICS WITH A CUTOFF

1999 ◽  
Vol 13 (03) ◽  
pp. 315-324 ◽  
Author(s):  
J. FRENKEL ◽  
R. B. SANTOS
Keyword(s):  
Charged Particle ◽  
Special Relativity ◽  
Point Charge ◽  
Equation Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Exact Equation ◽  
Electromagnetic Mass ◽  
Self Force

We discuss, in the context of classical electrodynamics with a Lorentz invariant cutoff at short distances, the self-force acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the equation of motion in a form consistent with special relativity. We find that the exact equation of motion does not exhibit runaway solutions or non-causal behavior, when the cutoff is larger than half of the classical radius of the electron.

A new equation of motion for a radiating charged particle

1974 ◽  
Vol 337 (1611) ◽  
pp. 591-598 ◽  
Keyword(s):  
Charged Particle ◽  
Dirac Equation ◽  
Point Charge ◽  
Equation Of Motion ◽  
Second Order ◽  
Radiated Energy ◽  
Proper Mass ◽  
New Equation

A new equation of motion for a classical radiating point-charge is proposed. The radiated energy is supplied by a reduction in proper-mass of the particle. Unlike the Lorentz–Dirac equation, the equation proposed is second order: it gives physically reasonable predictions, and in particular has no runaway solutions and no pre-acceleration.

Classical electrodynamics of a point particle from action integral

1992 ◽  
Vol 439 (1907) ◽  
pp. 559-581
Keyword(s):  
Point Charge ◽  
Magnetic Dipole Moment ◽  
Equation Of Motion ◽  
Point Particle ◽  
Classical Electrodynamics ◽  
New Approach ◽  
Action Integral ◽  
Singular Theory ◽  
Standard Action ◽  
Spin Equation

A new approach to the classical electrodynamics of a point particle (with arbitrary finite number of electromagnetic moments) is presented. It is argued that the notion of a non-singular pointlike current, previously introduced by the author, appropriately describes an electromagnetic point particle. This current is then used in the most standard action integral of an electromagnetic field in interaction with matter to yield a non-singular theory. In the simplest cases this theory yields the Lorentz–Dirac equation of motion of a point charge, or its generalization together with the spin equation of motion for a point charge with an intrinsic magnetic dipole moment. No approximations are involved. From the general theory the conservation of the energy-momentum and of the angular momentum follows.

An equation of motion for a point charge free of runaway solutions and acausality

1986 ◽  
Vol 93 (1) ◽  
pp. 87-101 ◽  
Author(s):  
J. L. Jimenez ◽  
J. Hirsch
Keyword(s):  
Point Charge ◽  
Equation Of Motion

Qualitative properties of an equation of motion of a classical point charge

2002 ◽  
Vol 295 (5-6) ◽  
pp. 318-319 ◽  
Author(s):  
Marijan Ribarič ◽  
Luka Šušteršič
Keyword(s):  
Point Charge ◽  
Equation Of Motion ◽  
Qualitative Properties ◽  
Classical Point

Particle motion with air resistance

2012 ◽  
Vol 8 (1) ◽  
pp. 1-15
Author(s):  
Gy. Sitkei
Keyword(s):  
Basic Equation ◽  
Initial Conditions ◽  
Equation Of Motion ◽  
Terminal Velocity ◽  
Dimensionless Form ◽  
Wood Industry ◽  
Acceptable Error ◽  
General Validity ◽  
Practical Applications ◽  
Air Resistance

Motion of particles with air resistance (e.g. horizontal and inclined throwing) plays an important role in many technological processes in agriculture, wood industry and several other fields. Although, the basic equation of motion of this problem is well known, however, the solutions for practical applications are not sufficient. In this article working diagrams were developed for quick estimation of the throwing distance and the terminal velocity. Approximate solution procedures are presented in closed form with acceptable error. The working diagrams provide with arbitrary initial conditions in dimensionless form of general validity.

Finite difference code for velocity and surface traction of a Fluid between Two Eccentric Spheres

2015 ◽  
Vol 11 (1) ◽  
pp. 2960-2971
Author(s):  
M.Abdel Wahab
Keyword(s):  
Velocity Field ◽  
Angular Velocity ◽  
Finite Difference ◽  
Numerical Study ◽  
Outer Sphere ◽  
Equation Of Motion ◽  
Annular Region ◽  
Surface Traction ◽  
Angular Velocities ◽  
Axis Passing

The Numerical study of the flow of a fluid in the annular region between two eccentric sphere susing PHP Code isinvestigated. This flow is created by considering the inner sphere to rotate with angular velocity 1  and the outer sphererotate with angular velocity 2  about the axis passing through their centers, the z-axis, using the three dimensionalBispherical coordinates (, ,) .The velocity field of fluid is determined by solving equation of motion using PHP Codeat different cases of angular velocities of inner and outer sphere. Also Finite difference code is used to calculate surfacetractions at outer sphere.

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