Field and Magnetic Induction

Classical electromagnetism distinguishes among the magnetic field H, the magnetization M, and the magnetic induction inside a medium, B  

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The subscripts refer to Cartesian coordinates in the laboratory coordinate system. The terms E(go) and B(go) are the electric and magnetic induction fields, respectively. In addition, the nonlinear induced magnetic moment (magnetization) is defined as ... 

The Bremsstrahlung can be explained by a classical analysis of the Poynting30 vector the electric field E, magnetic induction B, and Poynting vector S at a distance r from a charge q with acceleration a at a time t are given by... 

Generated by the induction coil powered by electric current intensity (lo) electromagnetic field affects the solidifying metal induces a local electromotive force (Em), whose value depends on the local velocity of the liquid metal (V) and magnetic induction (B) (Gillon, 2000). ... 

An equivalent consideration is valid for the case when the electric field is constant and magnetic induction is changed. 

E is the electric field vector, B is the magnetic field vector (magnetic induction), fx, /to, , so the usual field constants (with e = /t = I in vacuo) and the Nabla operator V is defined by equation (4) ... 

In Fig. 2a, we compare the modulus of the normal component of the magnetic induction B (r) provided by the sensor and the one calculated by the model. Because of the excitation s shape, the magnetic induction B° (r) is rotation invariant. So, we only represent the field along a radii. It s obvious that the sensor does not give only the normal component B = but probably provides a combination, may be linear, of... 

In Fig. 3a,b are shown respectively the modulus of the measured magnetic induction and the computed one. In Fig. 3c,d we compare the modulus and the Lissajous curves on a line j/ = 0. The results show a good agreement between simulated data and experimental data for the modulus. We can see a difference between the two curves in Fig. 3d this one can issue from the Born approximation. These results would be improved if we take into account the angle of inclination of the sensor. This work, which is one of our future developpements, makes necessary to calculate the radial component of the magnetic field due to the presence of flaw. This implies the calculation of a new Green s function. 

Faraday is better known in chemistry for his laws of electrolysis and in physics for proposing the relationship between electric and magnetic fields and for demonstrating the principle of electromagnetic induction. 

Derivation of this equation is actually far from straightforward. In electromagnetism, we describe static fields by the electric field E and the magnetic induction B. For our purposes, we need to enquire about the potentials rather than the fields, and these are defined by... 

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