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A Helmholtz coil Helmholtz coil schematic drawing. A Helmholtz coil is a device for producing a region of nearly uniform magnetic field, named after the German physicist Hermann von Helmholtz. It consists of two electromagnets on the same axis, carrying an equal electric current in the same direction. Besides creating magnetic fields, Helmholtz ...
Maxwell's geometry of the coils. A constant-field Maxwell coil set consists of three coils oriented on the surface of a virtual sphere. [1] According to Maxwell's original 1873 design: [2] each of the outer coils should be of radius , and distance from the plane of the central coil of radius .
The algorithm of the projection method is based on the Helmholtz decomposition (sometimes called Helmholtz-Hodge decomposition) of any vector field into a solenoidal part and an irrotational part. Typically, the algorithm consists of two stages.
Helmholtz coil An arrangement of coils useful for producing a uniform magnetic field within a certain volume. henry The SI unit of inductance. Hertz The SI unit of frequency, equivalent to one cycle per second. heterodyne The process of mixing signals of a number of frequencies to produce new frequencies. heterostructure
A pair of Helmholtz coils produces a uniform and measurable magnetic field at right angles to the electron beam. This magnetic field deflects the electron beam in a circular path. By measuring the accelerating potential (volts), the current (amps) to the Helmholtz coils, and the radius of the electron beam, e/m can be calculated. [8]
English: Cross section of B (magnetic field strength) magnitude in a Helmholtz coil (actually consisting of two coils: one at the top, one at the bottom in the plot). The eight contours are for field magnitudes of 0.5 {\displaystyle B_0}, 0.8 {\displaystyle B_0}, 0.9 {\displaystyle B_0}, 0.95 {\displaystyle B_0}, 0.99 {\displaystyle B_0}, 1.01 {\displaystyle B_0}, 1.05 {\displaystyle B_0}, and ...
The Helmholtz equation has a variety of applications in physics and other sciences, including the wave equation, the diffusion equation, and the Schrödinger equation for a free particle. In optics, the Helmholtz equation is the wave equation for the electric field. [1] The equation is named after Hermann von Helmholtz, who studied it in 1860. [2]
The fast multipole method (FMM) is a numerical technique that was developed to speed up the calculation of long-ranged forces in the n-body problem.It does this by expanding the system Green's function using a multipole expansion, which allows one to group sources that lie close together and treat them as if they are a single source.