In this paper , equations of Magnetism are rediscovered by using Special Relativity and Coulomb's law with different method and various cases are studied . Magnetic field near a current carrying conductor is redefined as ratio of... more
In this paper , equations of Magnetism are rediscovered by using Special Relativity and Coulomb's law with different method and various cases are studied . Magnetic field near a current carrying conductor is redefined as ratio of relativistic electric field experienced by reference frame of a moving charge near the conductor to velocity of that reference frame with respect to the conductor. Mathematically, it is found that the existing formulas of magnetism given by Biot- Savart Law are valid only for normal velocities and completely fail for higher or microscopic velocities of moving charge. 'Fleming's Right/Left Hand Rules' can easily be explained by Relativity as just interaction between charges. Unlike existing idea, a magnet or current carrying conductor can exert some force even on charges at rest. Magnetic field due to a current carrying conductor is nothing but ratio of approximate relativistic electric field to the velocity of reference frame. Lorentz force ...
In this paper, the Biot-Savart law was broken down using numerical algorithms in order to offer an easier calculation of the magnetic field for different geometries of current carrying wires. All code was written in Python; however, the... more
In this paper, the Biot-Savart law was broken down using numerical algorithms in order to offer an easier calculation of the magnetic field for different geometries of current carrying wires. All code was written in Python; however, the illustrated techniques are able to be replicated in other languages that offer object oriented programming. First, the one dimensional case was studied for line currents and circular currents. Then, two dimensional and three dimensional geometries were studied for square, prism, and cylindrical current carrying wires. Finally, through the principles of superposition, it was demonstrated how more abstract geometries are also able to be replicated numerically.
We develop analytical expressions for the magnetic vector potential and the magnetic field of modulated double helical coils. It is assumed that the coils are tightly wound, and can be approximated by two infinite... more
We develop analytical expressions for the magnetic vector potential and the magnetic field of modulated double helical coils. It is assumed that the coils are tightly wound, and can be approximated by two infinite thin current sheets. From each coil parametric equation, the surface current density is derived by considering the turn-to-turn spacing. The field inside and outside each coil is then calculated by decomposing the surface current density into three contributions. By summation, the field of any modulated double helical coil can be obtained. As a validation, we evaluate the field of a superconducting double helical quadrupole. A good agreement is found between analytical and numerical results. From the field, the main coil parameters can be quickly estimated with a fair accuracy. This can be useful for the design an optimization of advanced magnets, both conventional and superconducting.
This article represents a segmented study of the 'substance' of space through magnetism and fluidics and how it relates to the stable existence of the basic particles of ponderous matter… the proton and the electron. In this article, we... more
This article represents a segmented study of the 'substance' of space through magnetism and fluidics and how it relates to the stable existence of the basic particles of ponderous matter… the proton and the electron. In this article, we present the derivation of the important magnetic properties of space, the balanced forces which allow the infinite lifespan of the proton and the existence of dilatating electromagnetic forces which provide for the charges of the proton and electron in a universe of four spatial dimensions.
The method of retarded potentials is used to derive the Biot-Savart law, taking into account the correction that describes the chaotic motion of charged particles in rectilinear currents. Then this method is used for circular currents,... more
The method of retarded potentials is used to derive the Biot-Savart law, taking into account the correction that describes the chaotic motion of charged particles in rectilinear currents. Then this method is used for circular currents, and the following theorem is proved: The magnetic field on the rotation axis of an axisymmetric charged body or charge distribution has only one component directed along the rotation axis, and the magnetic field is expressed through the surface integral, which does not require integration over the azimuthal angle φ. In the general case, for arbitrary charge distribution and for any location of the rotation axis, the magnetic field is expressed through the volume integral, in which the integrand does not depend on the angle φ. The obtained simple formulas in cylindrical and spherical coordinates allow us to quickly find the external and central magnetic field of rotating bodies on the rotation axis.
In this paper , equations of Magnetism are rediscovered by using Special Relativity and Coulomb's law with different method and various cases are studied . Magnetic field near a current carrying conductor is redefined as ratio of... more
In this paper , equations of Magnetism are rediscovered by using Special Relativity and Coulomb's law with different method and various cases are studied . Magnetic field near a current carrying conductor is redefined as ratio of relativistic electric field experienced by reference frame of a moving charge near the conductor to velocity of that reference frame with respect to the conductor. Mathematically, it is found that the existing formulas of magnetism given by Biot- Savart Law are valid only for normal velocities and completely fail for higher or microscopic velocities of moving charge. 'Fleming's Right/Left Hand Rules' can easily be explained by Relativity as just interaction between charges. Unlike existing idea, a magnet or current carrying conductor can exert some force even on charges at rest. Magnetic field due to a current carrying conductor is nothing but ratio of approximate relativistic electric field to the velocity of reference frame. Lorentz force can be calculated as 'Just Electric Force' rather as 'Sum of Electric and Magnetic Force' by using Relativity. Magnetic force is just an electric force in Relativistic Electrodynamics that could not be explained by Classical Electrodynamics. The values of ε_0 and c are fundamental and the formula μ0 =〖1/ε_0 c^2 〗_ is their relation with permeability of free space . It is claimed that "As Maxwell's Equations are based upon existing equations of Magnetism which are only approximation for lower velocities and fail in higher velocities, they are likely to be useless now". It is suggested that, "As Magnetic Force is nothing but Electric Force in Relativistic Electrodynamics, the name of one of the four fundamental forces ; 'Electromagnetic Force' should be changed into just 'Electric Force'." It is claimed that radiations are just non-mechanical waves that can propagate at velocity of light and are not necessarily electromagnetic in nature. Moreover, the writer suggests that electromagnetic waves may not exist at all.
