Magnetization Definition and 84 Threads

As the homework statement suggests

Hi, after I majored in physics, I moved to the field of medical physics. However, I cannot understand some of their explanations. One of them that is bothering me a lot is RF pulse and in-phase. What we measure in MRI is the magnetization of water particles. The magnetization comes from the sum...

I believe there is an elementary way to solve this problem using some analogies with relevant models. First, I consider an electric model of polarization in uniform field. Here, there is a dielectric sphere oriented in uniform electric field ##E_0##. We can find out the electric fields inside...

In the headline to the question the statement should have been: rotation of macroscopic magnetization = averege (Magnetization current density ) The Magnetization current densities ##\vec{j}_{\text{mag}}^{(i)}## of individual particles ##i## are stationary ##(\vec{\nabla} \cdot...

Hi, electromagnetism is definitely not my area of expertise. However, I sometimes get to deal a bit with simulations of electromagnetic problems. One thing that bothers me now and I can't find the answer to it is whether magnetization ##M## is different for north and south pole of a magnet...

Let's say I have a constant magnetic field and I dive into it a diamagnetic material. Griffiths says that in the presence of a magnetic field, matter becomes magnetized and it will be found to contain many tiny dipoles with a net alignment along some direction. However, what's exactly the link...

Summary:: Hello, I am doing a report for my IB course that requires some mathematics to be done. I have found this thread incredibly useful and I would like to reach out to ask for some clarification. My experiment recorded the magnetic flux density directly above neodymium disc magnet, at...

I have thought about the following ##\oint \vec{H}\cdot d\vec{l}=0\Leftrightarrow H_{int}(D-h)+H_{ext}h=0\Leftrightarrow (\frac{B}{\mu_0}-M)(D-h)+\frac{B}{\mu_0}h=0\Leftrightarrow M=\frac{D}{D-h}\frac{B}{\mu_0}## but (supposing what I have done is correct) I don't understand which value of ##B##...

We have a set of N spins arranged in one dimension that can take the values $$s_i=\pm 1$$. The Hamiltonian of the system is: $$H=-\frac{J}{2N}\sum_{i \neq j}^{N} s_i s_j -B\sum_{i=1}^{N}s_i.$$ where $$J>0$$, B is an external magnetic field, and the first sum runs through all the values of i and...

So as the summary suggests, I am studying Electromagnetism, magnetic properties of matter and Magnetization vector in particular. As a first example and to introduce the Magnetization vector (M), my textbook shows a ferromagnetic substance in a uniform magnetic field (B). Then, every atom of...

I do not know where to start.

Hi, this is not an exercise. In some lecture notes the authors states that from elementary EM I should familiar with the fact that the work associated with polarization and magnetization of a material is given by ##\delta W = E dP## and ##\delta W = BdM##. I have to admit that I am super rusty...

Inner conductor radius = 1cm outer conductor radius = 10cm region between conductors has conductivity = 0 & 𝜇r = 100 𝜇r = 1 for inner and outer conductor Io = 1A(-az) 𝑱(𝑟) = (10^4)(𝑒^-(r/a)^2)(az) Problem has cylindrical symmetry, use cylindrical coordinate system. Find the total current...

I know that the field inside sample is a combination of the demagnetizing field and whatever applied field you may have. So these two fields together influence how big a field you need in order to magnetize the sample.

To test an Experimental Model , my advisor said to make this investigation; I have a Reservoir of parrafin, Capacity is 50 liters, Around this Reservoir there is a Helical copper Pipe, I have to magnetize the Reservoir by using Helical coil . Many thanks For your assistance

*** Answered off site. No need for further explanation. *** I am trying to understand MR Imaging physics. In NMR, when you put some energy in a system with a static longitudinal net magnetization, you create a transverse component and the longitudinal component decreases (in other words, net...

Homework Statement Consider a system of three aligned spins with S=1/2. There are couplings between first neighbors. Each spin has a magnetic moment ## \vec{\mu} = s \mu \vec{S}##. The system is in a field ## H= H\vec{u_z}## at thermal equilibrium. The hamiltonian is: ##H=J[S(1)S(2)+S(2)S(3)]...

A few simple questions which I am not sure about, it's about NMR. First sentence: "A magentic field B0 is applied on a sample, If the applied magnetic field B0 is stronger, the magnetisation of material is greater" . Would you say that sentence is correct? As I understood, magnetization is a...

In case of simple cubic lattice relative magnetization is given by \sigma=1-\frac{1}{S}\frac{v}{(2\pi)^3}\int^{\frac{\pi}{a}}_{-\frac{\pi}{a}}\int^{\frac{\pi}{a}}_{-\frac{\pi}{a}}\int^{\frac{\pi}{a}}_{-\frac{\pi}{a}}\mbox{d} k_x\mbox{d} k_y\mbox{d}k_z(\mbox{e}^{\frac{E(\vec{k})}{kT}}-1)^{-1}...

Homework Statement A long solenoid of 60 turns/cm carries a current of 0.15 A. It wraps a steel core with relative permeability ##\mu_r=5200##. Find the magnitude of the magnetization of the core. Homework Equations ##N=\lambda L## ##\chi = \mu_r-1## ##\mu = \mu_r\mu_0##...

hello i have a few questions regarding hysteresis loop in ferromagnets as showen here . i had an experiment in which i took a piece of gadolinium and cooled it down using liquid nitrogen , than i put it in an apparatus as showen here , so i induct an oscillating magnetic field on it , forcing...

Hi, I am looking for the temperature dependence of the saturation magnetization of Fe. Any help?

Homework Statement J-coupling term between two spins is HJ = ħJ/4 σz(1) σz(2) In the measured magnetization spectrum of the spins, this leads to the splitting of the individual spin lines by frequency J, which we’ll now derive. We can write the magnetization of spin 1 as: <M1(t)> =...

Homework Statement An infinitely long cylinder of radius R carries a "frozen-in" magnetization, parallel to the axis, ## \vec M = ks \hat z ##. There are no free currents. Find the magnetic field inside and outside the cylinder by two different methods: (a) Locate all the bound currents and...

I just want to know that if Fe3+ ions are parallel to Cr3+ ions then I have found magnetization M with given data but I am just little stuck at parallel and anti parallel ions should I add magnetization for parallel ions for Total M and subtract for anti parallel ions for total M? am i going...

Homework Statement A magnetic salt obeys the Curie Law μoM/Bo = C/T Where M is the magnetization, Bo is the applied magnetic field in the absence of the specimen, C is a constant, and μo is the permeability of free space. The salt is magnetized isothermally from a magnetization M1 to M2. You...

Hello, I wanted to know, if someone knows of a realistic option of, how to cut barrium ferrite magnets without using a rock saw and without demagnetizing the magnet obviously? Thanks in advance everyone.

Hello, I'm a student of electrical engineering. This task appeared in one of the past exams. I've been using the procedure I believe should yield the correct result, however, it turns out I was wrong. Could somebody please check out where the mistake lays in my calculations? Homework Statement...

Let us consider the following thought experiment. There is a magnetic field in free space produced by a steady current, hence solution of the (magnetostatic) Ampere's law Curl H = J. There is also a material with some parameters ε and μ and no currents, where the Ampere's law is Curl H = 0...

Hi guys, I recently performed an experiment, in which I found the B-H hysteresis loops for four ferromagnetic materials. I've attached a graph of my results for one alloy in the link below, where the labels are the saturation magnetization for each driving voltage. http://imgur.com/a/2H246 My...

Homework Statement Homework Equations Reluctance = small "L"/mu*A The Attempt at a Solution I went the route of using B/H=Mu ...since we know that B=1.2Tesla's and Mu=4pi*10^-7 we arrive at our "magnetic field intensity "H" as 954,929.7 H" BUT if I am trying to find Reluctance...

Homework Statement We have coaxial cabel with radius R and R0=3R filled with magnetic.Magnetization J(r)=(r3-R3)/(2R3)*I/(2*pi*r).What is the magnitization if r=0(center of atom)?And what a magnetization direction of atom? Homework EquationsThe Attempt at a Solution I think what magnitization...

Neodymium-Iron-Boron magnets have a relative magnetic permeability of 1.05. According to the formula: B = μ0 * (H + M) Both the magnetizing field H and the magnetization M contribute to the magnetic field B. The magnetization M has sources and sinks, so therefore it follows from Maxwell's...

Have any experiments on the Casimir effect tried what happens if the plates are temporarily magnetized when they are pulled together by the effect? E.g. measurements of what happens to passing laser beams and the like?

Hello there, I've just been learning about surface magnetization currents circulating around hypothetical square loops. Since the magnetization is uniform the circulation currents cancel where the square loops are adjacent to one another and it can therefore be said that the current circulates...

I am currently doing a experimental project work on superconductors. I am supposed to study properties of FeTeSe. I am having trouble understanding the difference between Zero-Field Cooling and Field Cooling. In both cases, I am measuring magnetization with varying temperature (from lower to...

Given this diagram: Two wires, having parallel and opposing current flows( Where ## I_1 = I_2 ##), creating opposing and equal magnetic fields near a ferromagnetic object(##F##), since the magnetic field of each wire is not uniform, I'm not really certain how to figure out the magnetization of...

If my understanding is correct, with respect to dry-type building power transformers, due to the virtues of the transformer as a dumb machine it really doesn't care which side of itself is the primary versus the secondary. In other words a 480D-208Y tranformer can be correctly connected such...

Dear All, Hi, I am pretty new in the area of magnetism. Please pardon me for some questions that might be pretty fundamental and basic here. I am trying to understand the difference between magnetic moment and magnetization. I thought I understood magnetization as the degree to which a magnet...

Homework Statement Hi, I have some data taken on voltage and resistance of a coil part of a yttrium barium copper oxicde (ycbo) superconductor. I have no information about the coil itself. A thermocouple attached to the superconductor also measured the temperature of it as it was cooled. This...

Homework Statement We have an infinite slab of conducting material, parallel to the xy plane, between z = −a and z = +a, with magnetic susceptibility χm. It carries a free current with volume current density J = J0z/a in the x direction (positive for z > 0, negative for z < 0). The integrated...

From my little understanding of magnetism and the magnetization process, in order to magnetize a magnet it is better to have a closed magnetic circuit. But how does an air gap affects the magnetization "strength"?Example: Assume that we have a unmagnetized horsehoe magnet with a coil around it...

Homework Statement Consider the transverse field Ising model, with $$H=-J\sum_i\left(\sigma^x_i\sigma^x_{i+1}+g\sigma^z_i\right)$$ I have to calculate the magnetization $$\langle\sigma_z\rangle$$ at finite temperature. Homework EquationsThe Attempt at a Solution I have to say, I'm a bit lost.

Homework Statement A long cylinder of radius a with magnetization vector M=M_0*(r/a)^2*a_φ. Find the magnetic flux density inside and outside the cylinder. Homework Equations J_m=∇×M J_ms=M×a_n[/B] A=(μ_0/4*π)*(∫(J_m/R)dv+∫(J_ms/R)ds) B=∇×A The Attempt at a Solution Basicly what I thought...

We know Total Magnetic Flux B = B_0 + B_m Where, B_0 is the external field and B_m is the field inside a material. Now, we get, B = B_0 + μ_0*M (M is the magnetization) My question is - Do I always have to use μ_0 ? If yes then Why? The material isn't free space, is it?& also B =...

Homework Statement These are actually two problems that I'm merging into one because each of them seem to have conflicting solutions, and I want to clear this up. Consider a long cylinder (very long) extending in the z direction with a constant magnetization ##\vec{M}=M\hat{z}##. What are the...

Hello, I've been stuck on this question for a few hours and I hope someone can help. Here is the question: "Consider two materials bismuth and aluminum with χ m = −20 ×10−5 and χ m = 2 ×10−5, respectively. Find the magnetization vector and the magnetic field in these materials when they are...

I heard/read somewhere some time ago during my electromagnetism course that when rolling a piece of metal into a metal plate, the magnetization properties will vary depending on how you apply the outer magnetic field. For instance if you apply a magnetic field perpendicular to the "direction"...

Can a magnetization density that is compactly supported be the gradient of a scalar field? This question relates to magnetic resonance imaging where the signal depends upon the curl of the magnetization density.

Hello, attached is a picture of a cylinder magnet moving in and out of a coil, in a linear AC generator configuration. Below it, there are 3 possible configurations for the magnetization of the magnet (axially/diametrically/radially). Which of the 3 configurations will produce more voltage on...