Modeling of the magnetic field of current carrying conductor with finite elements method (original) (raw)

Magnetic Field around a Current carrying Conductor

This paper provides the reason for existence of magnetic field. Oersted Law states a relation between magnetic field and electric current. From the same law, a relation is derived between magnetic flux, electric flux and velocity. it has been established that the magnetic flux opposes the resultant vector of electric flux and velocity. The vector analysis demonstrates the reason for magnetic field being circular around conductor. This analysis proves magnetic field is not a fundamental field. The direction of electric field around charged particles is found to be opposite to what conventionally accepted. This analysis also provides clue to universal consciousness and wisdom.I. Importance Of The Article The importance of this article lies in re-interpretation of existing laws and phenomena to understand NATURE and its behavior. Dependency of magnetic field on electric field demonstrates beyond doubt that Magnetic field is not a fundamental one but a tensor of rank three. A fundamental field is necessarily a tensor of rank one. It should exist on its own and should not depend on others for its existence. Space around conductor is not vacuum. This suggests space, in general, is made up of fundamental particles constituting dark matter or energy surrounding the conductor. The direction of Electric field around charged particles is opposite of what conventionally accepted. The electric field around electrons (negatively charged particles) is found to be radiating out from electrons. This implies the direction of electric field around proton is radiating in towards proton. The gravitational field around neutrons is also radiating in towards neutron. This observation is of utmost importance: this may be the reason protons and neutrons are held in nucleus. Further with the same logic, a neutron may be a cluster of neutrinos and a proton may be a positron surrounded by neutrinos. That is why a proton and a positron have same charge but different mass. Behavior of space around the conductor provides a clue to define universal consciousness and universal wisdom It is also observed that the intent of Lenz's law and Newton's third law of motion is to oppose an action. This means all the laws discovered so far need a rejig to understand the consistency of intent. One such area, which needs attention, is related to Energy: Relation between kinetic energy and temperature (Kelvin), relation between Energy and mass (Einstein) and relation between energy and frequency (Max Planck). If energy cannot be created or destroyed and all forms of energy are interrelated, a better interpretation of these laws will help to identify the consistency of intent of these three laws. II. Main Article Existence of magnetic field around a current carrying conductor is known but the reason for its existence is not established till date. This paper investigates the reason for existence of magnetic field. From Oersted's law ψ ∝I …………… (1) Where ψ = magnetic field, I = strength of electric current For a given electric conductor V = I R ……………………………………..(2) Where V = voltage applied across the conductor, R is resistance of conductor As R is constant for a given conductor, equation (2) implies V ∝ I Here it should be observed that it is the V (voltage) applied across the conductor which dictates I (strength of current) to flow in the conductor. Since V can be manipulated, it is independent variable. I is dependent variable since it adjusts itself to the V applied across the conductor. Hence for a given conductor, equation (1) can be written as Ψ ∝ V …………… (3) For a given conductor R = ρ ℓ / A …………. (4) Where ρ = specific resistivity of the conductor, A = cross sectional area of the conductor

Investigation of Magnetic Force between Two Current-Carrying Wires

In this experiment, we examined the magnetic force between two current-carrying wires. Setting the force at gravity to be equal to the magnetic force by apparatus, we measured the rough value of magnetic force and investigated the components of the magnetic force. We derived mathematically that magnetic force is proportional to the both square of current and inverse of distance between two wires. Then, we did two experiments which helped us to make two graphs: force vs. square of current and force vs. inverse of distance. Since both graphs showed good linear fit which represents proportional characteristic, we succeeded to support our two equations.

Magnetic field evaluation for thick annular conductors

… IEEE Transactions on, 1993

The three-dimensional integration of the Biot-Savart's law for conductors in annular sector shape, in which only a constant distributed, &directed current flows, is reported. The obtained expressions allow a quick and accurate evaluation of the components of the vector potential of the stationary magnetic field and of the magnetic induction due to this type of conductor, in iron free-media. The relations presented in this paper, together with similar expressions, valid for other shapes of conductors and current distributions, can be usefully employed to evaluate the magnetic fields in complex, linear and iron-free structures, when the examined geometry can be well approximated with a series of current elements of elementary shape, of which solution of Laplace's equation is known in closed form.

Magnetic fields in moving conductors: four simple examples

European Journal of Physics, 1998

Assuming given externally applied magnetic fields and given velocities, we calculate the currents induced in moving conductors of arbitrary conductivity, and the net magnetic field. Three of the four conductors are solid, and the fourth is fluid. We find that, in these examples, the net magnetic field is either unaffected by the moving conductor, or distorted downstream, or distorted upstream. In all cases the net magnetic field is static.

RELATION BETWEEN ELECTRICITY AND MAGNETISM (PRACTICAL 16 REPORT) LUPIWE MGXABAYI 217559778

In this experiment, the relation between the Electricity and Magnetism is investigated. A compass is placed, horizontally, 2cm away from a straight conductor and when current flows through the conductor it produces a magnetic field. The magnetic field causes the compass needle to deflect and the angle of deviation is measured. Applied field ( ) is calculated using Biot-Savart Law. A graph of ( ) vs Tan(Ө) is plotted and gradient is 2 × 10 −5 T, which is the practical value of ( ). The theoretical value of ( ) is 2,515 × 10 −5 T. There is a slight difference between these values, because the compass was not placed exactly at 2cm and the wire was not perfectly straight. It can be concluded that ( ) and Tan(Ө) have a linear relationship and thus are proportional. Furthermore, the relationship of Magnetic field and Current is investigated and it is found that they also have a linear relationship, thus Magnetic field is proportional to Current.

Influences of SLF electromagnetic fields in current carrier conductors

2003 IEEE International Symposium on Electromagnetic Compatibility, 2003. EMC '03., 2003

In this paper, the electromagnetic fields emitted from power cables in the high buildings and houses are investigated. This paper includes the analysis of electromagnetic fields generated by the three phase conductors at a point. For this aim, a laboratory model was designed, and then SLF electromagnetic field values were measured in air and inside model wall. Finally the measured values were compared with the calculated values, which are determined using PC simulation software. The measured values are close to the calculated values. The lab model is a 2.3 m height metal plate. Various electromagnetic field measurements were performed starting from 0.1 m to 3 m in order in different cable separations. In addition, effect of the different sizes PC monitors located in front of the cables was investigated.