Cylindrical magnets and ideal solenoids

By N. Derby, S. Olbert. 2009

213 citations recorded by the source corpus.

Both wire-wound solenoids and cylindrical magnets can be approximated as ideal azimuthally symmetric solenoids. We present an exact solution for the magnetic field of an ideal solenoid in an easy to use form. The field is expressed in terms of a single function that can be rapidly computed by means of a compact efficient algorithm, which can be coded as an add-in function to a spreadsheet, making field calculations accessible to introductory students. These expressions are not only accurate but are also as fast as most approximate expressions. We demonstrate their utility by simulating the dropping of a cylindrical magnet through a nonmagnetic conducting tube and comparing the calculation with data obtained from experiments suitable for an undergraduate laboratory.

Subfields: Atomic and Molecular Physics, and Optics, Physiology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ad8f9adfb18550c18bafb704dce2fd486023f86f

Citations in the corpus

• Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization (2018, unknown): “In general, the magnetization is related to the magnetic field H, the magnetic flux density B and the permeability of vacuum l0 through, B 1⁄4 l0ðHþMÞ ð2Þ We proceed by restating the known expression for B for longitudinal magnetization [25,27] and continue by deriving an expression for the case of ”