Magnetic field of a cylindrical coil

Abstract

Quantitative analysis of the damping of magnet oscillations by eddy currents in aluminum foil Am. J. Phys. 80, 804 (2012) Rolling magnets down a conductive hill: Revisiting a classic demonstration of the effects of eddy currents Am. J. Phys. 80, 800 (2012) A semiquantitative treatment of surface charges in DC circuits Am. J. Phys. 80, 782 (2012) Relation between Poisson and Schrödinger equations Am. J. Phys. 80, 715 (2012) Magnetic dipole moment of a moving electric dipole Am.We calculate the magnetic fields of cylindrical coils due to a surface current and a volume current and compare our theoretical results to measured magnetic fields of two coil types: single-layer solenoid and cylindrical thick coil by a simple experimental apparatus. Good agreement is found with the theoretical results.

Differential form valued forms and distributional electromagnetic sources

“…Using the property ⋆ ⋆ = t g η n−1 (6) where the involution η on forms satisfies η α then it is straightforward to verify the algebraic identities.…”

“…They underpin the theoretical formulation of quantum mechanics and many linear systems in classical field theory and are used to extend the solution space for linear partial differential equations to include non-smooth fields with singularities. They also offer a useful tool in electromagnetic modeling where the sources of certain physical attributes, such as electric charge, electric current, polarization or magnetization, are concentrated on localized regions in space [2], [3], [4], [5], [6] or spacetime. These aspects of distributions often occur together in problems in electromagnetic theory and this article explores this symbiosis in the unifying language of exterior double-forms.…”

Study of High Field Superconducting Solenoids for Muon Beam Cooling

“…The number of subdivisions was adjusted in order to achieve the desired calculation accuracy (10 -3 ). It was determined that for our particular problem this approach provides faster convergence than a general solution of the finite solenoid field [12] at the same calculation accuracy.…”

A New Concept for Magnetic Capsule Colonoscopy Based on an Electromagnetic System

“…This hypothesis can be confirmed by using no ferromagnetic materials (such as Al6060, AISI316, AISI 303, Delrin) for the parts of the platform close to the electromagnet, where 'close' means a distance less than 1.5 m). The magnetic flux density produced by a cylindrical coil is found by using the vector potential of a circular loop as follows [14]:…”