Changes in Earth's Dipole
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Basic Magnetic Measurement Methods
Basic magnetic measurement methods Magnetic measurements in nanoelectronics 1. Vibrating sample magnetometry and related methods 2. Magnetooptical methods 3. Other methods Introduction Magnetization is a quantity of interest in many measurements involving spintronic materials ● Biot-Savart law (1820) (Jean-Baptiste Biot (1774-1862), Félix Savart (1791-1841)) Magnetic field (the proper name is magnetic flux density [1]*) of a current carrying piece of conductor is given by: μ 0 I dl̂ ×⃗r − − ⃗ 7 1 - vacuum permeability d B= μ 0=4 π10 Hm 4 π ∣⃗r∣3 ● The unit of the magnetic flux density, Tesla (1 T=1 Wb/m2), as a derive unit of Si must be based on some measurement (force, magnetic resonance) *the alternative name is magnetic induction Introduction Magnetization is a quantity of interest in many measurements involving spintronic materials ● Biot-Savart law (1820) (Jean-Baptiste Biot (1774-1862), Félix Savart (1791-1841)) Magnetic field (the proper name is magnetic flux density [1]*) of a current carrying piece of conductor is given by: μ 0 I dl̂ ×⃗r − − ⃗ 7 1 - vacuum permeability d B= μ 0=4 π10 Hm 4 π ∣⃗r∣3 ● The Physikalisch-Technische Bundesanstalt (German national metrology institute) maintains a unit Tesla in form of coils with coil constant k (ratio of the magnetic flux density to the coil current) determined based on NMR measurements graphics from: http://www.ptb.de/cms/fileadmin/internet/fachabteilungen/abteilung_2/2.5_halbleiterphysik_und_magnetismus/2.51/realization.pdf *the alternative name is magnetic induction Introduction It -
Is Earth's Magnetic Field Reversing? ⁎ Catherine Constable A, , Monika Korte B
Earth and Planetary Science Letters 246 (2006) 1–16 www.elsevier.com/locate/epsl Frontiers Is Earth's magnetic field reversing? ⁎ Catherine Constable a, , Monika Korte b a Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California at San Diego, La Jolla, CA 92093-0225, USA b GeoForschungsZentrum Potsdam, Telegrafenberg, 14473 Potsdam, Germany Received 7 October 2005; received in revised form 21 March 2006; accepted 23 March 2006 Editor: A.N. Halliday Abstract Earth's dipole field has been diminishing in strength since the first systematic observations of field intensity were made in the mid nineteenth century. This has led to speculation that the geomagnetic field might now be in the early stages of a reversal. In the longer term context of paleomagnetic observations it is found that for the current reversal rate and expected statistical variability in polarity interval length an interval as long as the ongoing 0.78 Myr Brunhes polarity interval is to be expected with a probability of less than 0.15, and the preferred probability estimates range from 0.06 to 0.08. These rather low odds might be used to infer that the next reversal is overdue, but the assessment is limited by the statistical treatment of reversals as point processes. Recent paleofield observations combined with insights derived from field modeling and numerical geodynamo simulations suggest that a reversal is not imminent. The current value of the dipole moment remains high compared with the average throughout the ongoing 0.78 Myr Brunhes polarity interval; the present rate of change in Earth's dipole strength is not anomalous compared with rates of change for the past 7 kyr; furthermore there is evidence that the field has been stronger on average during the Brunhes than for the past 160 Ma, and that high average field values are associated with longer polarity chrons. -
Magnetic Polarizability of a Short Right Circular Conducting Cylinder 1
Journal of Research of the National Bureau of Standards-B. Mathematics and Mathematical Physics Vol. 64B, No.4, October- December 1960 Magnetic Polarizability of a Short Right Circular Conducting Cylinder 1 T. T. Taylor 2 (August 1, 1960) The magnetic polarizability tensor of a short righ t circular conducting cylinder is calcu lated in the principal axes system wit h a un iform quasi-static but nonpenetrating a pplied fi eld. On e of the two distinct tensor components is derived from res ults alread y obtained in co nnection wi th the electric polarizabili ty of short conducting cylinders. The other is calcu lated to an accuracy of four to five significan t fi gures for cylinders with radius to half-length ratios of }~, }~, 1, 2, a nd 4. These results, when combin ed with t he corresponding results for the electric polari zability, are a pplicable to t he proble m of calculating scattering from cylin cl ers and to the des ign of artifi c;al dispersive media. 1. Introduction This ar ticle considers the problem of finding the mftgnetie polariz ability tensor {3ij of a short, that is, noninfinite in length, righ t circular conducting cylinder under the assumption of negli gible field penetration. The latter condition can be realized easily with avail able con ductin g materials and fi elds which, although time varying, have wavelengths long compared with cylinder dimensions and can therefore be regftrded as quasi-static. T he approach of the present ar ticle is parallel to that employed earlier [1] 3 by the author fo r fin ding the electric polarizability of shor t co nductin g cylinders. -
PH585: Magnetic Dipoles and So Forth
PH585: Magnetic dipoles and so forth 1 Magnetic Moments Magnetic moments ~µ are analogous to dipole moments ~p in electrostatics. There are two sorts of magnetic dipoles we will consider: a dipole consisting of two magnetic charges p separated by a distance d (a true dipole), and a current loop of area A (an approximate dipole). N p d -p I S Figure 1: (left) A magnetic dipole, consisting of two magnetic charges p separated by a distance d. The dipole moment is |~µ| = pd. (right) An approximate magnetic dipole, consisting of a loop with current I and area A. The dipole moment is |~µ| = IA. In the case of two separated magnetic charges, the dipole moment is trivially calculated by comparison with an electric dipole – substitute ~µ for ~p and p for q.i In the case of the current loop, a bit more work is required to find the moment. We will come to this shortly, for now we just quote the result ~µ=IA nˆ, where nˆ is a unit vector normal to the surface of the loop. 2 An Electrostatics Refresher In order to appreciate the magnetic dipole, we should remind ourselves first how one arrives at the field for an electric dipole. Recall Maxwell’s first equation (in the absence of polarization density): ρ ∇~ · E~ = (1) r0 If we assume that the fields are static, we can also write: ∂B~ ∇~ × E~ = − (2) ∂t This means, as you discovered in your last homework, that E~ can be written as the gradient of a scalar function ϕ, the electric potential: E~ = −∇~ ϕ (3) This lets us rewrite Eq. -
The Rock and Fossil Record the Rock and Fossil Record the Rock And
TheThe RockRock andand FossilFossil RecordRecord Earth’s Story and Those Who First Listened . 426 Apply . 427 Internet Connect . 428 When on Earth? . 429 Activity . 430 MathBreak . 434 Internet Connect 432, 435 Looking at Fossils . 436 QuickLab . 438 Internet Connect . 440 Time Marches On . 441 QuickLab . 443 Internet Connect . 445 Chapter Lab . 446 Chapter Review . 449 TEKS/TAKS Practice Tests . 451, 452 Feature Article . 453 Time Stands Still Pre-Reading Questions Sealed in darkness for 49 million years, this beetle still shimmers with the same metallic hues that once helped it hide among ancient plants. This rare fossil 1. How do scientists study was found in Messel, Germany. In the same rock formation, the Earth’s history? scientists have found fossilized crocodiles, bats, birds, and 2. How can you tell the age frogs. A living stag beetle (above) has a similar form and of rocks and fossils? color. Do you think that these two beetles would live in 3. What natural or human similar environments? What do you think Messel, Germany, events have caused mass was like 49 million years ago? In this chapter, you will extinctions in Earth’s learn how scientists answer these kinds of questions. history? 424 Chapter 16 Copyright © by Holt, Rinehart and Winston. All rights reserved. MAKING FOSSILS Procedure 1. You and three or four of your classmates will be given several pieces of modeling clay and a paper sack containing a few small objects. 2. Press each object firmly into a piece of clay. Try to leave an imprint showing as much detail as possible. -
Section 14: Dielectric Properties of Insulators
Physics 927 E.Y.Tsymbal Section 14: Dielectric properties of insulators The central quantity in the physics of dielectrics is the polarization of the material P. The polarization P is defined as the dipole moment p per unit volume. The dipole moment of a system of charges is given by = p qiri (1) i where ri is the position vector of charge qi. The value of the sum is independent of the choice of the origin of system, provided that the system in neutral. The simplest case of an electric dipole is a system consisting of a positive and negative charge, so that the dipole moment is equal to qa, where a is a vector connecting the two charges (from negative to positive). The electric field produces by the dipole moment at distances much larger than a is given by (in CGS units) 3(p⋅r)r − r 2p E(r) = (2) r5 According to electrostatics the electric field E is related to a scalar potential as follows E = −∇ϕ , (3) which gives the potential p ⋅r ϕ(r) = (4) r3 When solving electrostatics problem in many cases it is more convenient to work with the potential rather than the field. A dielectric acquires a polarization due to an applied electric field. This polarization is the consequence of redistribution of charges inside the dielectric. From the macroscopic point of view the dielectric can be considered as a material with no net charges in the interior of the material and induced negative and positive charges on the left and right surfaces of the dielectric. -
Geologic Time and Geologic Maps
NAME GEOLOGIC TIME AND GEOLOGIC MAPS I. Introduction There are two types of geologic time, relative and absolute. In the case of relative time geologic events are arranged in their order of occurrence. No attempt is made to determine the actual time at which they occurred. For example, in a sequence of flat lying rocks, shale is on top of sandstone. The shale, therefore, must by younger (deposited after the sandstone), but how much younger is not known. In the case of absolute time the actual age of the geologic event is determined. This is usually done using a radiometric-dating technique. II. Relative geologic age In this section several techniques are considered for determining the relative age of geologic events. For example, four sedimentary rocks are piled-up as shown on Figure 1. A must have been deposited first and is the oldest. D must have been deposited last and is the youngest. This is an example of a general geologic law known as the Law of Superposition. This law states that in any pile of sedimentary strata that has not been disturbed by folding or overturning since accumulation, the youngest stratum is at the top and the oldest is at the base. While this may seem to be a simple observation, this principle of superposition (or stratigraphic succession) is the basis of the geologic column which lists rock units in their relative order of formation. As a second example, Figure 2 shows a sandstone that has been cut by two dikes (igneous intrusions that are tabular in shape).The sandstone, A, is the oldest rock since it is intruded by both dikes. -
Soils in the Geologic Record
in the Geologic Record 2021 Soils Planner Natural Resources Conservation Service Words From the Deputy Chief Soils are essential for life on Earth. They are the source of nutrients for plants, the medium that stores and releases water to plants, and the material in which plants anchor to the Earth’s surface. Soils filter pollutants and thereby purify water, store atmospheric carbon and thereby reduce greenhouse gasses, and support structures and thereby provide the foundation on which civilization erects buildings and constructs roads. Given the vast On February 2, 2020, the USDA, Natural importance of soil, it’s no wonder that the U.S. Government has Resources Conservation Service (NRCS) an agency, NRCS, devoted to preserving this essential resource. welcomed Dr. Luis “Louie” Tupas as the NRCS Deputy Chief for Soil Science and Resource Less widely recognized than the value of soil in maintaining Assessment. Dr. Tupas brings knowledge and experience of global change and climate impacts life is the importance of the knowledge gained from soils in the on agriculture, forestry, and other landscapes to the geologic record. Fossil soils, or “paleosols,” help us understand NRCS. He has been with USDA since 2004. the history of the Earth. This planner focuses on these soils in the geologic record. It provides examples of how paleosols can retain Dr. Tupas, a career member of the Senior Executive Service since 2014, served as the Deputy Director information about climates and ecosystems of the prehistoric for Bioenergy, Climate, and Environment, the Acting past. By understanding this deep history, we can obtain a better Deputy Director for Food Science and Nutrition, and understanding of modern climate, current biodiversity, and the Director for International Programs at USDA, ongoing soil formation and destruction. -
A GEOLOGIC RECORD of the FIRST BILLION YEARS of MARS HISTORY. John F. Mustard1 and James W. Head1 1Department of Earth, Environm
49th Lunar and Planetary Science Conference 2018 (LPI Contrib. No. 2083) 2604.pdf A GEOLOGIC RECORD OF THE FIRST BILLION YEARS OF MARS HISTORY. John F. Mustard1 and James W. Head1 1Department of Earth, Environmental and Planetary Sciences, Box 1846, Brown University, Provi- dence, RI 02912 ([email protected]) Introduction: A compelling record of the first bil- standing solar system evolution question is the exist- lion years of Mars geologic evolution is spectacularly ence, or not, of a period of heavy bombardment ≈500 presented in a compact region at the intersection of Myr after accretion of the terrestrial planets. Except Isidis impact basin and Syrtis Major volcanic province for the Moon, we have no definitive dates for basins (Fig. 1). In this well-exposed region is a well-ordered formed in the Solar System. Radiometric systems in stratigraphy of geologic units spanning Noachian to crystalline igneous rocks exposed by Isidis would like- Early Hesperian times [1]. Geologic units can be de- ly have been reset and thus contain evidence of the finitively associated with the Isidis basin-forming im- impact providing a key data point for understanding pact (≈3.9 Ga, [2]) as well as pristine igneous and basin forming processes in the Solar System. Further- aqueously altered Noachian crust that pre-date the more the Isidis basin impacted onto the rim of the hy- Isidis event. The rich collection of well defined units pothesized Borealis Basin [7]. Given this proximity spanning ≈500 Myr of time in a compact region is at- there is a possibility that some fragments may have tractive for the collection of samples. -
Magnetic Fields
Welcome Back to Physics 1308 Magnetic Fields Sir Joseph John Thomson 18 December 1856 – 30 August 1940 Physics 1308: General Physics II - Professor Jodi Cooley Announcements • Assignments for Tuesday, October 30th: - Reading: Chapter 29.1 - 29.3 - Watch Videos: - https://youtu.be/5Dyfr9QQOkE — Lecture 17 - The Biot-Savart Law - https://youtu.be/0hDdcXrrn94 — Lecture 17 - The Solenoid • Homework 9 Assigned - due before class on Tuesday, October 30th. Physics 1308: General Physics II - Professor Jodi Cooley Physics 1308: General Physics II - Professor Jodi Cooley Review Question 1 Consider the two rectangular areas shown with a point P located at the midpoint between the two areas. The rectangular area on the left contains a bar magnet with the south pole near point P. The rectangle on the right is initially empty. How will the magnetic field at P change, if at all, when a second bar magnet is placed on the right rectangle with its north pole near point P? A) The direction of the magnetic field will not change, but its magnitude will decrease. B) The direction of the magnetic field will not change, but its magnitude will increase. C) The magnetic field at P will be zero tesla. D) The direction of the magnetic field will change and its magnitude will increase. E) The direction of the magnetic field will change and its magnitude will decrease. Physics 1308: General Physics II - Professor Jodi Cooley Review Question 2 An electron traveling due east in a region that contains only a magnetic field experiences a vertically downward force, toward the surface of the earth. -
Equivalence of Current–Carrying Coils and Magnets; Magnetic Dipoles; - Law of Attraction and Repulsion, Definition of the Ampere
GEOPHYSICS (08/430/0012) THE EARTH'S MAGNETIC FIELD OUTLINE Magnetism Magnetic forces: - equivalence of current–carrying coils and magnets; magnetic dipoles; - law of attraction and repulsion, definition of the ampere. Magnetic fields: - magnetic fields from electrical currents and magnets; magnetic induction B and lines of magnetic induction. The geomagnetic field The magnetic elements: (N, E, V) vector components; declination (azimuth) and inclination (dip). The external field: diurnal variations, ionospheric currents, magnetic storms, sunspot activity. The internal field: the dipole and non–dipole fields, secular variations, the geocentric axial dipole hypothesis, geomagnetic reversals, seabed magnetic anomalies, The dynamo model Reasons against an origin in the crust or mantle and reasons suggesting an origin in the fluid outer core. Magnetohydrodynamic dynamo models: motion and eddy currents in the fluid core, mechanical analogues. Background reading: Fowler §3.1 & 7.9.2, Lowrie §5.2 & 5.4 GEOPHYSICS (08/430/0012) MAGNETIC FORCES Magnetic forces are forces associated with the motion of electric charges, either as electric currents in conductors or, in the case of magnetic materials, as the orbital and spin motions of electrons in atoms. Although the concept of a magnetic pole is sometimes useful, it is diácult to relate precisely to observation; for example, all attempts to find a magnetic monopole have failed, and the model of permanent magnets as magnetic dipoles with north and south poles is not particularly accurate. Consequently moving charges are normally regarded as fundamental in magnetism. Basic observations 1. Permanent magnets A magnet attracts iron and steel, the attraction being most marked close to its ends. -
Assembling a Magnetometer for Measuring the Magnetic Properties of Iron Oxide Microparticles in the Classroom Laboratory Jefferson F
APPARATUS AND DEMONSTRATION NOTES The downloaded PDF for any Note in this section contains all the Notes in this section. John Essick, Editor Department of Physics, Reed College, Portland, OR 97202 This department welcomes brief communications reporting new demonstrations, laboratory equip- ment, techniques, or materials of interest to teachers of physics. Notes on new applications of older apparatus, measurements supplementing data supplied by manufacturers, information which, while not new, is not generally known, procurement information, and news about apparatus under development may be suitable for publication in this section. Neither the American Journal of Physics nor the Editors assume responsibility for the correctness of the information presented. Manuscripts should be submitted using the web-based system that can be accessed via the American Journal of Physics home page, http://web.mit.edu/rhprice/www, and will be forwarded to the ADN edi- tor for consideration. Assembling a magnetometer for measuring the magnetic properties of iron oxide microparticles in the classroom laboratory Jefferson F. D. F. Araujo, a) Joao~ M. B. Pereira, and Antonio^ C. Bruno Department of Physics, Pontifıcia Universidade Catolica do Rio de Janeiro, Rio de Janeiro 22451-900, Brazil (Received 19 July 2018; accepted 9 April 2019) A compact magnetometer, simple enough to be assembled and used by physics instructional laboratory students, is presented. The assembled magnetometer can measure the magnetic response of materials due to an applied field generated by permanent magnets. Along with the permanent magnets, the magnetometer consists of two Hall effect-based sensors, a wall-adapter dc power supply to bias the sensors, a handheld digital voltmeter, and a plastic ruler.