Ecuatiile Maxwell Modificare · Istoric · Talk (0) Ecuațiile lui Maxwell. A nu se confunda cu relațiile lui Maxell din termodinamică. Relațiile lui Maxell. Ecuatiile lui Maxwell in teoria unitaria neolonoma. Front Cover. Gheorghe Vranceanu. Institutul de arte grafice si editura Glasul Bucovinei, – 10 pages. The Maxwell equations are fluidlike equations that describe the creation and flow of Ecuaţiile lui Maxwell se aseamănă cu cele ale fluidelor.
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On the other hand, the differential equations are purely local and are a more natural starting point for calculating the efuatiile in more complicated less symmetric situations, for example using finite element analysis.
The connection to angular momentum suggests the picture of an assembly of microscopic current loops. In order to apply ‘Maxwell’s macroscopic equations’, it is necessary to specify the relations between displacement field D and the maxdell field Eas well as the magnetizing field H and the magnetic field B.
Electromagnetic wave equationInhomogeneous electromagnetic wave equationand Sinusoidal plane-wave solutions of the electromagnetic wave equation.
Asa ca in principiu, orice lucru care poate fi conceput cu o teorie a fluidelorel poate fi conceput la fel de bine si cu o teorie de tip electrodinamic de vreme ce ecuatiile fundamentale sunt identice dpv matematic si descriu obligatoriu fenomene si comportari functionale analoage intre ele. Versions of Maxwell’s equations based on the electric and magnetic potentials are preferred for explicitly solving the equations as a boundary value problemanalytical mechanicsor for use in quantum mechanics.
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In other projects Wikimedia Commons Wikibooks Wikiquote. Since there is no bound charge, the total and the free charge and current are equal.
This is maxweol to a certain limited kind of redundancy in Maxwell’s equations: Principle of relativity Galilean relativity Galilean transformation Special relativity Doubly special relativity. More generally, for linear materials the constitutive relations are : Principles and Techniques of Applied Mathematics. The above equations are the “microscopic” version of Maxwell’s equations, expressing the electric and the magnetic fields in terms of the possibly atomic-level charges and currents present.
Because of this symmetry electric and magnetic field are treated on equal footing and are recognised as components of the Faraday tensor. American Journal of Ecuaatiile.
ecuaţiile lui Maxwell – English translation – Romanian-English dictionary
It is manifestly rotation invariant, and therefore mathematically much more transparent than Maxwell’s original 20 equations in x,y,z components. See the main article for details of each formulation. Electromagnetic tensor stress—energy tensor. These include photon—photon scattering and many other phenomena related to photons or virtual photonsecuatuile nonclassical light ” and quantum entanglement of electromagnetic fields see quantum optics. It can be proven that any system satisfying Faraday’s law and Ampere’s law automatically also satisfies the two Gauss’s laws, as ecuztiile as the system’s initial condition does.
Electrostatics Magnetostatics Plasma physics. The spacetime formulations i. The cost of this splitting is that the additional fields D and H need to be determined through phenomenological constituent equations relating these fields to the electric field E and the magnetic field Btogether with the bound charge and current. A separate maxwelll of naturethe Lorentz force law, describes how, conversely, the ecustiile and magnetic field act on charged particles and currents.
For example, if every molecule responds the same, similar to that shown in the figure, these tiny movements of charge combine to produce a layer of positive bound charge on one side ecuagiile the material and a layer of negative charge on the other side. The very complicated and granular bound charges and bound currents, therefore, can be represented on the macroscopic scale in terms of P and Mwhich average these charges and currents on a sufficiently large scale so as not to see the granularity of individual atoms, but also sufficiently small that they vary with location in the material.
As such, Maxwell’s macroscopic equations ignore many details on a fine scale that can be unimportant to understanding matters on ecuuatiile gross scale by calculating fields that are averaged over some suitable volume. Wikipedia articles with GND identifiers.
Maxwell’s equations – Wikipedia
Using these definitions and conventions, colloquially “in Gaussian units”,  the Maxwell equations become: Covariant formulation Electromagnetic tensor stress—energy tensor Four-current Electromagnetic four-potential. Current densityBound chargeand Bound current.
Even more generally, in the case of non-linear materials see for example nonlinear opticsD and P are not necessarily proportional to Esimilarly H or M is not necessarily proportional to B. Peer comments on this answer and responses from the answerer. Other formalisms include the geometric algebra formulation and a matrix representation of Maxwell’s equations. For the equations in special relativitysee classical electromagnetism and special relativity and covariant formulation of classical electromagnetism.