Helmholtz coil











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QuickField Sample Problem: Helmholtz coil • Download the sample files at http://quickfield.com/advanced/helmho... • A Helmholtz coil is a device for producing a region of nearly uniform magnetic field. This construction is formed by the two identical circular coils, placed symmetrically along a common axis, and separated by the distance H equal to the coil radius R. Both coils carry the same electric current I. Area of the quasi uniformal field is located inside the coils. • Problem type: • Axisymmetric problem of DC magnetics • Geometry: See in the video or at the sample page: • Given: • H = R = 1 m, • Current I = 1 A. • Each coil consists of 1 loop with electric current I placed. Media between the coils is air. • Problem: • Calculate the flux density distribution within the Helmholtz coil. Find the area of uniformal field. Compare with analytical approximation. • Solution: • Model may be defined and solved as a DC Magnetic Analysis problem. • Results: • The field within Helmholtz coils at the axis may be estimated as*: • B(x) = 2B1(x) = 2 • μnIR2 / 2(R2 + x2)3/2 • The field at the center between Helmholtz coils is: • B(x=R/2) = 2 • μnIR2 / 2(R2 + (R/2)2)3/2 = 0.83/2 • μnI/R. • For our model parameters (I=1 ampere, R=1 meter, n=1 loop) this gives B = 8.98e-7 T. QuickField results are close to this approximated value. • See in the video or at the sample page: Plot of the flux density along the radius between the coils; Flux density distribution around the Helmholtz coils. • The sample page at the software support site: http://quickfield.com/advanced/helmho.... • QuickField Student's Edition: http://quickfield.com/free_soft.htm. • Give us your feedback at [email protected].

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