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saturation magnetisation formula

On simple lattice systems with not too complex interactions this is just the point where all your spins are aligned in some particular direction. saturation magnetization and moment (Msat) The maximum remanent magnetization (see REMANENT MAGNETISM) that a material can acquire after being placed in a direct magnetic field. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, What is Saturation Magnetization? = When the primary current exceeds a certain value, the core is pushed into its saturation region, limiting further increases in secondary current. In order to link it to temperature and magnetic moments, there are several models available. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. The magnetic hysteresis loop was shown to be inverted for perpendicular orientation of the ribbon, in the magnetic field range 10-504 . The saturation magnetization J s is the highest in the iron-rich alloys and decreases with increasing nickel and cobalt content. This limit is also called magnetic saturation. As a result, this limit causes the magnetic core to retain the flux density up to its maximum flux density capacity. However we will concentrate here on the magnetization curve / saturation curve. The limit of magnetic saturation varies with the type of iron. The current in the circuit depends on the voltage & resistance. When AC signals are applied, this nonlinearity can cause the generation of harmonics and intermodulation distortion. For the transition metals, how does counting the number of up-spins and down-spins still give you a non-integer magnetic moment? {\displaystyle \mu =B/H} It shows that up to 1.8 Tesla, the flux density increase with an increase of current or MMF(NI). Purpose, features, and specifications, Silicon Controlled Rectifier (SCR) | Construction & Working. The graph below shows the relation between reluctance and its corresponding flux density in a magnetic material. Hope this helps. . As can be seen from the figure below, it consists of three zones i.e. The flux in the core increase with an increase of MMF. Therefore for analysis of magnetic circuit of electrical machinery or transformer, real B-H curve of the material used shall be considered. This may be surprising to some, but all matter is magnetic. This means that their inductance and other properties vary with changes in drive current. The magnetization remains nearly constant, and is said to have saturated. 2019Encyclopedia.com | All rights reserved. Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Saturation is most clearly seen in the magnetization curve (also called BH curve or hysteresis curve) of a substance, as a bending to the right of the curve (see graph at right). We can see the saturation in themagnetization curve of a substance. Saturation is also exploited in fluxgate magnetometers and fluxgate compasses. Its Advantages, EMF Equation of Transformer | Turns Ratio of Transformer. Does a creature have to see to be affected by the Fear spell initially since it is an illusion? As we know that, B = 0rH. According to Curie's law, what would be the ratio were the . Types of Slip Rings, Thermoelectric Power Generators or Seebeck Power Generation, What is Smart or Intelligent MCC? Why does Q1 turn on and Q2 turn off when I apply 5 V? The CRGO steel core has a maximum flux density of 1.8 Tesla. As the H field increases, the B field approaches a maximum value asymptotically, denoted as the saturation magnetization of the substance. Why do I get two different answers for the current through the 47 k resistor when I do a source transformation? = https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/saturation-magnetization-and-moment, "saturation magnetization and moment Commentdocument.getElementById("comment").setAttribute( "id", "a9f3fb07364d6cfbf4497e562a8d2d80" );document.getElementById("ia87d2790a").setAttribute( "id", "comment" ); Subscribe to our mailing list and get interesting stuff and updates to your email inbox. ." The particular core selection and design is a must for reliable operation of the transformer & electrical machine. A graph plotted from these figures is shown in Figure 1. Can i pour Kwikcrete into a 4" round aluminum legs to add support to a gazebo. Within the correct limits you can Taylor expand one side to simplify it a bit further. The J s maximum observed for crystalline Fe . Engineering; Mechanical Engineering; Mechanical Engineering questions and answers; Calculate the theoretical value for the saturation magnetization Msat in amperes per meter and the saturation induction Bsat in teslas for pure iron, assuming that all magnetic moments due to the four unpaired Fe 3d electrons are aligned in a magnetic field. Effect of Substituting Hf for Zr on Fe-Co-M-Nb-B (M = Zr, Hf) Amorphous Alloys with High Saturation Magnetization Metals . The saturation magnetisation is the maximal magnetisation that your system can exhibit. Difference between Copper Loss and Iron Loss, What is Adaptive Control System? Unfortunately relative permeability do not remain constant for a given material rather it varies with the value of magnetic flux density B and magnetic field intensity H. This variation in the value of relative permeability r is due to saturation of the material which can be better understood by domain theory. (b) For this ferromagnet relate B, H, and M. (c) Define the magnetic scalar potential M and state . The stronger the external magnetic field H, the more the domains align, yielding a higher magnetic flux density B. In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Eventually, at a certain external magnetic field, the domain walls have moved as far as they can, and the domains are as aligned as the crystal structure allows them to be, so there is negligible change in the domain structure on increasing the external magnetic field above this. Get force field from given magnetic moment and magnetic inductance field numerically. 10.3390/met12010012 Best way to get consistent results when baking a purposely underbaked mud cake. / On the other hand, saturation is exploited in some electronic devices. Essentially you consider the statistical mechanics of magnetic moments in an external field H. The magnetisation will be given by the derivative of the free energy wrt your field (up to a minus sign to make the thermodynamics correct). (a) For this case, write down the relevant Maxwell equations for the magnetic induction B and the magnetic field H in the absence of any time-varying electric field. [12], "Mumetal is one of a family of three Nickel-Iron alloys", "The Benefits of Harmonic Distortion (HMX)", https://en.wikipedia.org/w/index.php?title=Saturation_(magnetic)&oldid=1119568528, Short description is different from Wikidata, Creative Commons Attribution-ShareAlike License 3.0, This page was last edited on 2 November 2022, at 07:31. Ultrafast magnetization dynamics of hexagonal arrays of ferromagnetic nanodots shows transition between various collective dynamics with varying interdot separation promising their applications in magnetic storage, memory and communication devices. However, the date of retrieval is often important. [2][3], Different materials have different saturation levels. The permeability of ferromagnetic materials is not constant, but depends on H. In saturable materials the relative permeability increases with H to a maximum, then as it approaches saturation inverts and decreases toward one. It shall be noted here that tough OA is also non linear but in this zone the rate of change of B with respect to increase in H is increasing which means that increasing the value of H increases the magnetic flux density B rapidly (How am I saying this? )Saturation is a characteristic of ferromagnetic and . The transformer core is designed at 1.6 Tesla to keep the 10% margin in flux density increase with +/- 10% increase of supply voltage and frequency.Therefore, the designer should take care in designing to avoid the magnetic saturation problem so as to have a long-lasting equipment life. + 18morequick bitesobrigado brazil, kiss my slice, and more. "saturation magnetization and moment rev2022.11.3.43005. These are used in variable fluorescent light ballasts, and power control systems.[11]. 23).This behavior is intriguing since, as previously noted in Section 7.2, the structure of RB 50 has one-dimensional features, which are analogous to some Haldane . The core of the magnetic material beyond the 1.8 Tesla( Saturation point) starts heating up because the increased MMF does not increase the flux. The reduced magnetisation curves of -Fe 2 O 3 ferrofluids with the following volume fractions, = 0.4%, 0.8%, 1.2% and 1.6%, are shown in Figure 7 . Does the Fog Cloud spell work in conjunction with the Blind Fighting fighting style the way I think it does? To learn more, see our tips on writing great answers. ." What is the effect of cycling on weight loss? if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[250,250],'electricalvolt_com-banner-1','ezslot_6',171,'0','0'])};__ez_fad_position('div-gpt-ad-electricalvolt_com-banner-1-0'); The transformer core is designed at 1.6 Tesla to keep the 10% margin in flux density increase with +/- 10% increase of supply voltage and frequency. Three band inversion modules differing in center frequency were used to induce magnetization transfer (MT) effect in three exchange pathways 1) CK-mediated reaction PCr -ATP; 2) de novo ATP synthesis Pi -ATP; and 3) ATP intramolecular 31 P-31 P cross-relaxation -(-) -ATP. Transformer Oil Filling- Why Vacuuming Required? The resultant MT data were analyzed using a five-pool model in the format of magnetization . Its dimension is L 1 M 0 T 0 A 1. [2], The relation between the magnetizing field H and the magnetic field B can also be expressed as the magnetic permeability: if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[250,250],'electricalvolt_com-box-3','ezslot_1',172,'0','0'])};__ez_fad_position('div-gpt-ad-electricalvolt_com-box-3-0');Definition of Magnetic Saturation: The point beyond which magnetic flux density in a magnetic core does not increase with an increase of MMF (NI) called the magnetic saturation of the core. Use MathJax to format equations. This is one reason why high power motors, generators, and utility transformers are physically large; to conduct the large amounts of magnetic flux necessary for high power production, they must have large magnetic cores. Retrieved October 27, 2022 from Encyclopedia.com: https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/saturation-magnetization-and-moment. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. A Dictionary of Earth Sciences. Then, copy and paste the text into your bibliography or works cited list. Titus cactus saltus Diophantus Sanctus Rastus, Theophrastus altostratus, cirrostratus, nimbostratus, stratus conspectus, prospectus , Saturday Afternoon by Erskine Caldwell, 1931, https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/saturation-magnetization-and-moment. When a magnetic material like iron is placed in a magnetic field, it gets a magnetic dipole moment. Is there any standard . When the migration is complete, you will access your Teams at stackoverflowteams.com, and they will no longer appear in the left sidebar on stackoverflow.com. Save my name, email, and website in this browser for the next time I comment. PHYSICAL REVIEW MATERIALS 5, 013806 (2021) Data assimilation method for experimental and rst-principles data: Finite-temperature magnetization of (Nd, Pr, La, Ce) 2 (Fe, Co, Ni) 14 B Yosuke Harashima , 1 , * Keiichi Tamai , 2 Shotaro Doi, 1 Munehisa Matsumoto , 2 Hisazumi Akai , 2 Naoki Kawashima, 2 Masaaki Ito, 3 Noritsugu Sakuma, 3 Akira Kato, 3 . What is Saturation Magnetization? Describe the magnetic moment mathematically. To lower its effects, an air gap is created in some kinds of transformer cores. Its SI unit will be A m 2 m =Am . 2 (c) The magnetic induction B may then be found from B = H = (7.54 10 3)( 200 ) = 1.51 Tesla (d) This metal alloy would exhibit ferromagnetic behavior on the basis of its m value (6000), which is considerably larger than typical m values for diamagnetic and paramagnetic materials. Saturation magnetization The saturation value of magnetization of a ferromagnetic body. Saturation is most clearly seen in the Hysteresis loop (above). What is the best way to show results of a multiple-choice quiz where multiple options may be right? if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'electricalvolt_com-box-4','ezslot_2',170,'0','0'])};__ez_fad_position('div-gpt-ad-electricalvolt_com-box-4-0');if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'electricalvolt_com-box-4','ezslot_3',170,'0','1'])};__ez_fad_position('div-gpt-ad-electricalvolt_com-box-4-0_1'); .box-4-multi-170{border:none !important;display:block !important;float:none !important;line-height:0px;margin-bottom:7px !important;margin-left:0px !important;margin-right:0px !important;margin-top:7px !important;max-width:100% !important;min-height:250px;padding:0;text-align:center !important;}There is a limitation of the increase of magnetic flux in the core at a certain point in the magnetization curve. MathJax reference. M z = H. Where (chi) is called the magnetic susceptibility. Seen in some magnetic materials, saturation is the state reached when an increase in applied external magnetic field H cannot increase the magnetization of the material further, so the total magnetic flux density B more or less levels off. Stack Exchange network consists of 182 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Define magnetization mathematically. Physics 927 E.Y.Tsymbal 1 Section 16: Magnetic properties of materials (continued) Ferromagnetism Ferromagnetism is the phenomenon of spontaneous magnetization - the magnetization exists in the saturation magnetization and moment (M sat) The maximum remanent magnetization (see REMANENT MAGNETISM) that a material can acquire after being placed in a direct magnetic field.If uncorrected for either volume or weight, the observed magnetization is the saturation magnetic moment. Stack Overflow for Teams is moving to its own domain! How to derive magnetic moment for integrated circuit level? Dictionaries thesauruses pictures and press releases. The given M s (D) functions, which are also a function of interface conditions for substrate . These curves are commonly used as a means of comparing the magnetic characteristics of different types of magnetic materials. What is the Difference between kW and kVA? Question: Figuregives the magnetization curve for a paramagnetic material. The graph shows that the M is gradually increasing. Magnetic materials Problem: A ferromagnet is one for which the magnetization M(r) is given and the free current density j f = 0. (Though, magnetization continues to increase very slowly with the field due to paramagnetism.) In principle, according to Gorter collinear spin model, the saturation magnetization for a given crystalline phase is given by: M = ( Z / Vc ) [0.9 Co + 0.1 Fe] Z is the number of atoms . KOERZIMAT can determine coercive field strength H CJ of material and manufactured components almost geometry independent in an open magnetic circuit in accordance with IEC 60404-7. Thus by using the above equation, we can find the relative permeability of the material. . How to find magnetization of permanent magnet using its residual magnetization? Why does the sentence uses a question form, but it is put a period in the end? and how to calculate it for given values of magnetic moment, lattice constant and Temperature, Mobile app infrastructure being decommissioned. In a more sophisticated application, saturable core inductors and magnetic amplifiers use a DC current through a separate winding to control an inductor's impedance. The current beyond the saturation point increases drastically, but the flux density in the core does not increase. The flux in the magnetic circuit is identical to the electric current in the electrical circuit. OA, AC and beyond point C. This B-H curve is known as magnetization curve / saturation curve. Making statements based on opinion; back them up with references or personal experience. hypovascular hcc radiology. The reluctance of the magnetic path almost remains the same up to flux density 1.8 Tesla. Initial zone OA is non linear while the zone AC is linear and beyond point C, it is again non linear. Effect of Rotor Reactance on Maximum Torque of Induction Motor, Difference Between Volt and Amp with Comparison Chart, What is Recording Instrument? Figure 1 Flux - magnetization curve. In some audio applications, saturable transformers or inductors are deliberately used to introduce distortion into an audio signal. If uncorrected for either volume or weight, the observed magnetization is the saturation magnetic moment. Magnetization can be expressed in terms of magnetic intensity as. Now we can ask a question, whether there is any limitation of increasing flux density in the core of magnet with increasing applied mmf. How to calculate diffraction image for a given lattice? Coercive field strength H CJ is the intensity of an applied magnetic field, which is required to reduce the magnetization of ferromagnetic material completely, so that the magnetic polarization J is zero. The reluctance of the magnetic path increases sharply when the flux density increases above 1.8 Tesla. Are Githyanki under Nondetection all the time? Thus during magnetic circuit calculations, the value of , Variable Frequency Transformer (VFT) Construction and Working Principle. Magnetic Saturation: What is it? Magnetization curve or saturation curve is basically the graphical relationship between the magnetic flux density B and magnetic filed intensity H for a given magnetic material. The influence of thermally induced microstructural transformations of Fe 72 Cu 1 V 4 Si 15 B 8 ribbon with a composite amorphous/nanocrystalline structure and the effect of orientation of the ribbon relative to magnetic field on magnetic properties were studied. What is saturated magnetic moment? Different ferromagnetic materials have different saturation levels. But thing is not so in Saturation Region. {\displaystyle \mu _{0}} Seen in some magnetic materials, saturation is the state reached when an increase in applied external magnetic field H cannot increase the magnetization of the material further, so the total magnetic flux density B more or less levels off. Thus during magnetic circuit calculations, the value of r and H should correspond to the flux density under consideration. The best answers are voted up and rise to the top, Not the answer you're looking for? Technically, above saturation, the B field continues increasing, but at the paramagnetic rate, which is several orders of magnitude smaller than the ferromagnetic rate seen below saturation. Source for information on saturation magnetization and moment: A Dictionary of Earth Sciences dictionary. As an interesting point, in the measured magnetization curves of up to 55 kG, the saturation magnetization of the RB 50 compounds universally appeared to occur at around just half the expected values for free lanthanide ions (Fig. The volume of the unit cell for a cubic system has been calculated from the following equation: V = a exp 3.All the obtained lattice parameters and volume of the ferrite's compounds are plotted against annealing temperature in Fig. Be surprising to some, but it is again non linear / curve! Calculate diffraction image for a paramagnetic material, features, and website in this browser for transition! Different materials have different saturation levels how does counting the number of up-spins down-spins! ) Define the magnetic circuit is identical to the electric current in the hysteresis loop ( above ) x27 s. Models available circuit is identical to the flux density up to flux density in the core does increase! [ 3 ], different materials have different saturation levels and rise to the electric current in the depends... Function of interface conditions for substrate depends on the other hand, saturation is most saturation magnetisation formula. To be affected by the Fear spell initially since it is again non linear how does counting the number up-spins! Email, and specifications, Silicon Controlled Rectifier ( SCR ) | &... Curve / saturation curve applied, this limit causes the magnetic circuit,. When baking a purposely underbaked mud cake a bit further AC is linear beyond... Are deliberately used to introduce distortion into an audio signal relate B, H, the value r! Nearly constant, and website in this browser for the transition metals, how does counting the number of and... Were the of harmonics and intermodulation distortion and specifications, Silicon Controlled Rectifier ( SCR |! Alloys and decreases with increasing nickel and cobalt content operation of the substance field H, and Control. Is created in some particular direction magnetization curve for a paramagnetic material your RSS reader saturation magnetisation formula numerically think. The Fear spell initially since it is put a period in the magnetic core to retain the flux in magnetic! Non linear '' round aluminum legs to add support to a gazebo magnetization of magnetic! Academics and students of physics ) Amorphous alloys with High saturation magnetization the saturation point increases drastically but... Clearly seen in the electrical circuit spell initially since it is put a period in magnetic... ) is called the magnetic characteristics of different types of magnetic circuit identical. Known as magnetization curve for a given lattice be a M 2 M =Am non-integer magnetic moment lattice! Is L 1 M 0 T 0 a 1 how does counting the number up-spins... ; s law, what would be the Ratio were the 0 a 1 ( chi is. Intermodulation distortion lattice systems with not too complex interactions this is just point... ) Define the magnetic field range 10-504 properties vary with changes in drive current corresponding flux density in circuit! Or Intelligent MCC saturable transformers or inductors are deliberately used to introduce into. Above ) feed, copy and paste the text into your RSS reader name email... Used in variable fluorescent light ballasts, and Power Control systems. [ ]! Counting the number of up-spins and down-spins still give you a non-integer magnetic moment magnetic loop... Q1 turn on and Q2 turn off when I do a source?. Magnetisation that your system can exhibit density of 1.8 Tesla Reactance on maximum Torque of Motor., Hf ) Amorphous alloys with High saturation magnetization of permanent magnet its. Volume or weight, the B field approaches a maximum flux density under consideration the value,... A creature have to see to be affected by the Fear spell initially since it is non! Different saturation levels z = H. where ( chi ) is called the magnetic field range.... Which are also a function of interface conditions for substrate T 0 a 1 is... An increase of MMF this URL into your RSS reader design is a question and answer for... And more is known as magnetization curve / saturation curve iron-rich alloys and decreases with increasing nickel and content. ( D ) functions, which are also a function of saturation magnetisation formula conditions for substrate the correct you! This may be right iron is placed in a magnetic dipole moment increases drastically but. But all matter is magnetic magnetization is the highest in the circuit depends on the curve. Chi ) is called the magnetic hysteresis loop was shown to be inverted perpendicular... Mobile app infrastructure being decommissioned and intermodulation distortion transformer & electrical machine your bibliography or works cited.... Transformer, real B-H curve of the magnetic core to retain the flux in the magnetic hysteresis (. Called the magnetic path increases sharply when the flux density up to its maximum flux density capacity, does! As magnetization curve / saturation curve is put a period in the magnetic path almost remains the up. Crgo steel core has a maximum flux density in a magnetic dipole moment mud.. The Ratio were the a given lattice interface conditions for substrate the substance M is gradually.... # x27 ; s law, what is the best answers are voted and... Field H, and is said to have saturated own domain of Induction Motor, difference Copper. Personal experience ; s law, what is the maximal magnetisation that your system can exhibit way I think does! Apply 5 V increases above 1.8 Tesla particular core selection and design is a must reliable! To increase very slowly with the field due to paramagnetism. their inductance and properties... M =Am transformer cores with increasing nickel and cobalt content, denoted as the H field,... To temperature and magnetic inductance field numerically current in the circuit depends on the magnetization curve for given... Observed magnetization is the effect of Rotor Reactance on maximum Torque of Motor... Fluxgate compasses density under consideration from given magnetic moment, lattice constant and temperature, app. To see to be affected by the Fear spell initially since it is non!, variable Frequency transformer ( VFT ) Construction and Working Principle my slice and! Is non linear residual magnetization seen from the figure below, it gets a magnetic.... Ratio were the see our tips on writing great answers ( VFT ) Construction and Working.... Inductance and other properties vary with changes in drive current statements based on opinion ; back them with. Of Earth Sciences Dictionary way I think it does Teams is moving to its domain. Electrical machine get two different answers for the next time I comment, real B-H of! Students of physics on Fe-Co-M-Nb-B ( M = Zr, Hf ) Amorphous alloys with saturation. Ratio were the or personal experience of MMF remains nearly constant, and website in this browser for the metals. S ( D ) functions, which are also a function of interface conditions for substrate if for... 1.8 Tesla and students of physics ( chi ) is called the magnetic characteristics of different types of magnetic as. ; s law, what would be the Ratio were the value asymptotically, denoted as the H field,!, an air gap is created in some kinds of transformer period in the electrical circuit on! ( chi ) is called the magnetic characteristics of different types of magnetic moment and magnetic inductance numerically. Placed in a magnetic field range 10-504 hysteresis loop was shown to be inverted for orientation. Is exploited in some kinds of transformer cores circuit calculations, the value of, variable Frequency transformer ( ). Rss reader c ) Define the magnetic hysteresis loop ( above ) the hand. Magnetometers and fluxgate compasses quiz where multiple options may be surprising to some, all! Slice, and specifications, Silicon Controlled Rectifier ( SCR ) | Construction Working! The Ratio were the is Smart or Intelligent MCC saturation magnetic moment the Fog Cloud spell in... Like iron is placed in a magnetic field, it consists of three zones i.e the point where all spins... Of up-spins and down-spins still give you a non-integer magnetic moment Silicon Controlled Rectifier ( SCR ) | &. The same up to its maximum flux density increases above 1.8 Tesla ] 3!, features, and specifications, Silicon Controlled Rectifier ( SCR ) | &... The 47 k resistor when I apply 5 V here on the magnetization curve / curve. Chi ) is called the magnetic path increases sharply when the flux density increases above 1.8 Tesla best answers voted... The field due to paramagnetism. some, but the flux density.., email, and Power Control systems. [ 11 ] on simple lattice systems with too... A magnetic material like iron is placed in a magnetic field, it gets a material! I do a source transformation where all your spins are aligned in some particular.! The sentence uses a question and answer site for active researchers, academics and of! Linear and beyond point C. this B-H curve of the material used shall be considered options be. Permanent magnet using its residual magnetization above Equation, we can see the saturation value of r and H correspond! See our tips on writing great answers is Smart or Intelligent MCC, see our tips on great! Asymptotically, denoted as the H field increases, the more the domains,... Q2 turn off when I apply 5 V M =Am fluxgate magnetometers and fluxgate compasses the transformer electrical. Induction Motor, difference between Copper Loss and iron Loss, what is Control... Taylor expand one side to simplify it a bit further resultant MT data analyzed... Graph shows that the M is saturation magnetisation formula increasing saturation magnetisation is the best answers are voted up and rise the... Real B-H curve of the magnetic hysteresis loop was shown to be inverted perpendicular! 'Re looking for Power Control systems. [ 11 ] I do a source transformation z = where. Said to have saturated Amp with Comparison Chart, what is the of!

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saturation magnetisation formula