Measuring the Forces Between Magnetic Dipoles

Gayetsky, Lisa; Caylor, Craig L.

doi:10.1119/1.2768690

Cited by 10 publications

(7 citation statements)

References 8 publications

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“…They have validated their model for the case in which the surfaces of the two particles are in contact with each other. Recently, Castaner et al [8], Gayetsky and Caylor [9], Kraftmakher [10] and PintoEspinoza [11] have further investigated the dipole-dipole interaction in a uniform magnetic field.…”

mentioning

confidence: 99%

Interaction forces between soft magnetic particles in uniform and non-uniform magnetic fields

et al. 2010

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The influence of the magnetization of a soft magnetic sphere on the surrounding magnetic field is measured and characterized. The interaction force between two soft magnetic particles is directly measured using an ultra precision load sensor in uniform and non-uniform magnetic fields. The interaction force largely follows an inverse fourth power law as a function of separation distance between particle centers. At small distances, the effect of magnetization of one particle on the magnetization of its adjacent particle causes the attractive (repulsive) force to be larger (smaller) than that predicted by the inverse fourth power law. The theoretical prediction based on a modified dipole model, that takes into account the coupling effect of the magnetization among soft magnetic particles, gives excellent agreement with the measured force in a uniform magnetic field. The interaction force under a non-uniform applied magnetic field can be reasonably predicted using the dipole-dipole interaction model when the local magnetic field is used to determine the magnetization.

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mentioning

confidence: 99%

Interaction forces between soft magnetic particles in uniform and non-uniform magnetic fields

et al. 2010

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“…There are several studies in which approximate solutions of (1) were obtained. In these studies, it was shown that the magnetic field is proportional to the power law of distance as z −3 and the magnetic force is proportional to z −4 when a ≫ z [12,13]. Also, there are several articles where both the field and the force between the two magnets are examined theoretically by using relatively complex mathematical solutions [12,14].…”

Section: Theoretical Analysismentioning

confidence: 99%

“…All the terms independent of the displacement ∆z is considered as a constant C in (13). It was found from force expression (6) that ∆z is an approximate linear function of sin α .…”

Section: Measurement Linear Fit 3th Degree Polynomial Fitmentioning

confidence: 99%

Research on a novel magnetic tilt sensor designed using Hall elements and ferrofluid

Öztürk

Yarici

2019

Journal of Electrical Engineering

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In this study, a simple, adjustable, bidirectional tilt sensor was designed using a pair of linear Hall effect sensors and magnets. Theoretical analysis and experimental results of the sensor system were presented. The working principle of the designed sensor is based on sensing the magnetic field of a mobile magnet which displaces with respect to the tilt angle. Two magnet sets were placed at the two ends of the system to apply repulsive restoring forces on the mobile magnet. The mobile magnet was coated with a light hydrocarbon based ferrofluid as a lubricant to reduce friction. Fixed Hall effect sensors were placed face to face at the two sides of the mobile magnet to monitor the magnetic field of the mobile magnet. It was shown that both experimentally and theoretically, it is possible to measure the approximate tilt angle linearly and quadratically by calculating the sum and difference of the Hall sensor voltages for the relatively small movements of the mobile magnet. Moreover, the system was also examined for the different sets of side magnets. For three different side magnet configurations, approximately 0.7, 1.1 and 1.68 V/rad sensitivity values were observed in the linear range.

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“…It should be remarked that the result of this investigation depends quite heavily on the type of magnets used and the geometry. For instance, short 'squat' magnets with larger area of the poles and shorter distance between the poles gives a relationship of the above form but with n of about 3-4 (Gayetsky and Caylor 2007).…”

Section: The Force Between Two Bar Magnetsmentioning

confidence: 99%

An empirical-mathematical modelling approach to upper secondary physics

Angell¹,

Kind²,

Henriksen³

et al. 2008

Phys. Educ.

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In this paper we describe a teaching approach focusing on modelling in physics, emphasizing scientific reasoning based on empirical data and using the notion of multiple representations of physical phenomena as a framework. We describe modelling activities from a project (PHYS 21) and relate some experiences from implementation of the modelling approach in Norwegian upper secondary physics classrooms.

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Measuring the Forces Between Magnetic Dipoles

Cited by 10 publications

References 8 publications

Interaction forces between soft magnetic particles in uniform and non-uniform magnetic fields

Interaction forces between soft magnetic particles in uniform and non-uniform magnetic fields

Research on a novel magnetic tilt sensor designed using Hall elements and ferrofluid

An empirical-mathematical modelling approach to upper secondary physics

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