Magnetic Flux We construct a magnetic flux ϕB in much the same way that we construct an electric flux ϕE. For a constant magnetic field B and a plane surface A, the magnetic flux is defined as the scalar product of the magnetic field and the area. (32.2)ΦB=B·A The flux unit...
magnetic fluxmagnetisationmagnetostaticsarbitrary polyhedronelementary functionsfinite element analysisintrinsic vector formmagnetic flux densityPurpose - The purpose of this paper is to evaluate analytically the magnetic flux density and the magnetic vector potential produced by a linear current density or a ...
(10), we can find that the magnetic flux density at each pixel in the image plane is determined by the vectors from pixels on the object boundary to the pixel and by the electric current vector at corresponding pixels on the object edges. Thus, the magnetic field in the broken region ...
For constructing realistic nonlinear force-free coronal magnetic field models in 3D, sophisticated numerical computations are required and boundary conditions must be obtained from measurements of the magnetic field vector in the solar photosphere. This approach is currently of large interests, as ...
where , . We would like to stress that assuming that the conductivity is just a scalar quantity, constant both in space and time, clearly represents an oversimplification [31,32,33] of the properties of a system out of equilibrium and undergoing an extremely fast dynamical evolution. Moreover...
First, we will deal with a scalar 1D case and then we will extend our example to a general vectorial 3D case. In 1D, we only need thex-component of the magnetization, magnetic field, and magnetic flux. These will be represented with M, Hx, and Bx, respectively. We will also need ...
The process for combining these multiple objectives into a single scalar is as follows. First, for each objective, the difference between the actual and target values is computed, and then transformed with a non-linear function to a quality measure between 0 and 1. In the case of a vector-...
Fig. 4: Demonstration of detection of the magnetic field vector. aFlow chart for determination of the magnetic-field vector by the Fe–Sn magnetometer. The polar angle\({\theta }_{{{\rm{H}}}\)is determined by\({R}_{{{\rm{H}}}^{\omega }\)through AHE whereas the azimuthal angle...
We at once note a complexity in our analogy of the electrostatic case; the differential charge element dq is a scalar quantity but the differential current element i ds is a vector quantity. One of the simplest problems in magnetism is that of a long straight wire carrying a current i. ...
This will be the case whether the magnetization of the rock is induced, remanent, or a combination of both. A scalar magnetometer measuring the total field strength within the vicinity of this body will experience the magnitude of the vector sum of the geomagnetic field and the local field ...