What is Magnetic field: Definition and 1000 Discussions
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets. In addition, a magnetic field that varies with location will exert a force on a range of non-magnetic materials by affecting the motion of their outer atomic electrons. Magnetic fields surround magnetized materials, and are created by electric currents such as those used in electromagnets, and by electric fields varying in time. Since both strength and direction of a magnetic field may vary with location, they are described as a map assigning a vector to each point of space or, more precisely—because of the way the magnetic field transforms under mirror reflection—as a field of pseudovectors.
In electromagnetics, the term "magnetic field" is used for two distinct but closely related vector fields denoted by the symbols B and H. In the International System of Units, H, magnetic field strength, is measured in the SI base units of ampere per meter (A/m). B, magnetic flux density, is measured in tesla (in SI base units: kilogram per second2 per ampere), which is equivalent to newton per meter per ampere. H and B differ in how they account for magnetization. In a vacuum, the two fields are related through the vacuum permeability,
B
/
μ
0
=
H
{\displaystyle \mathbf {B} /\mu _{0}=\mathbf {H} }
; but in a magnetized material, the terms differ by the material's magnetization at each point.
Magnetic fields are produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin. Magnetic fields and electric fields are interrelated and are both components of the electromagnetic force, one of the four fundamental forces of nature.
Magnetic fields are used throughout modern technology, particularly in electrical engineering and electromechanics. Rotating magnetic fields are used in both electric motors and generators. The interaction of magnetic fields in electric devices such as transformers is conceptualized and investigated as magnetic circuits. Magnetic forces give information about the charge carriers in a material through the Hall effect. The Earth produces its own magnetic field, which shields the Earth's ozone layer from the solar wind and is important in navigation using a compass.
Our class modified an experiment to measure the magnetic field strength in mT between 5cm and 30cm, and I have plotted data and found that the relationship resembles a power relationship (using a log vs log graph). In order to find the percentage uncertainty for the whole experiment I need the...
I find a exercise in Leonard Susskind's book Classical Mechanics
the Hamiltonian of a charged particle in a magnetic field(ignore the electric field) is $$H=\sum_{i} \left\{ \frac{1}{2m} \left[ p_{i}-\frac{e}{c}A_{i}(x) \right]\left[ p_{i}-\frac{e}{c}A_{i}(x) \right]...
I have been analyzing a set of data from a lab activity on the Zeeman effect. The data (i.e. images) gathered can be previewed via this Google drive link here.
While I am provided with the numerical data on the current (##I##), I am not provided with any data on the magnetic field. With the...
https://www.physicsforums.com/attachments/282201
Are we using this equation above to explain this question? The magnetic field is definitely in sinusoidal form but how does it proportional to the frequency of the source?
I am confused about why spin down has a lower energy than spin up. What is the correct interpretation of the equations?
If we have a spin ##\frac{1}{2}## particle in a magnetic field ##B_0## that is applied in the positive z direction
The spin states of the particle are
$$\ket{up} =...
I have a toroid with square cross section and 2 different circuit:
##C_1## where ##N=N_1## and ##I=I_1##
##C_2## where ##N=N_2## and ##I=I_2##
I have a question that say I have to find the magnetic field ##B## produce by ##C_1## everywhere inside the coil. I assume here I have to find the...
Hi,
I have to find the magnetic energy inside a coaxial cable of inner radius ##a## and outer radium ##b##, ##I = I##
By using Ampere's law
if ##r<a##
##B = \frac{\mu_0Ir}{2\pi a^2}##
if ##a<r<b##
##B = \frac{\mu_0I}{2\pi r}##
if ##r>b##
##B = 0##
Then, the energy in a magnetic field ##E_b...
Background Information (Not Strictly Necessary):
As a quick recap, the graph I am dealing with is a semi-logarithmic graph of free induction decay (FID) amplitude as a function of time. To acquire the value for ##{T_2}^*## (and its uncertainty) in the graph, I used the below equation to do so...
Basic descriptions of spin such as the beginning of Lindley's "Where does the weirdness go" state that an electron's spin doesn't exist or is "indeterminant" until measured (e.g. passed through a Stern-Gerlach field). However, isn't the magnetic field nonzero essentially everywhere (albeit...
Hi,
I have to find the motion of a particles ##(x,y,z)##. However, I'm not sure where to begin.
Is it correct to split the problem and first find what's the motion in the x direction then y and z.
For exemple,
##m \frac{d^2x}{dt^2} = -kv_{0x} + qv_{0x}B sin 90 ##
##m\int\int...
I attempted to run a lab that would allows us to calculate the magnetic field strength of a couple different neodymium magnets. I would love some feedback on it and ways that I could potentially make it better. The numbers I calculated were very far off from what I expected.
Apparatus set up:
I...
The force on a charged particle that is moving through a magnetic field is explained in introductory physics textbooks. The magnetic field cannot change the kinetic energy of the charged particle because the force from the magnetic field is always perpendicular to the velocity, so no work is...
here is the question, don't mind about point (a) and (b) because i have solved them already...the main problem is the question on point (c) :
so far, what i have done is : H = 2.7*0.1-(1.4*0.15+1.3*0.25) = -0.265 az A/m which is the wrong answer compared to the solution provided from the...
I haven't taken a physics courses in some time and I'm having trouble getting started with this textbook question. I know that there will be relativistic effects present, but I can deal with that. The problem is how I can approach the problem. I initially thought of a geometric way to set up...
So force on a current carrying wire = ILxB.
If I have a bunch of bar magnets making a uniform magnetic field of strength B, then a 1 meter long wire of 0 ohms carrying 1 Amp, the force on that wire is (1)(1)xB = 1B. If I let that force move the wire for a time T, let's assume the wire moved a...
On a previous thread (now locked) I was wondering about how, precisely, the Earth's magnetic field protects us from the solar wind. Posting this here because what I wrote in that thread is very wrong, and I think it's an interesting topic.
I had a hell of a time finding good information. I...
So my idea was that to reach the equilibrium position, the final moment of force has to be 0 (so in the end the forces will “eliminate” each other). And I found the equation Fm=B*I*l*sinα, which should characterize the force, which affects wire with the current in a magnetic field, and Fleming’s...
I have some difficulties in solving this problem. This is what I did.
I wrote down the equation of motion for the masses. For the first point
\begin{equation}
m\ddot{\textbf{r}}_1=\textbf{F}_1=q\dot{\bar{\textbf{r}}}_1\times...
We know that when a magnet is exposed to high temperatures, it loses its magnetic properties. Why then does the Earth's magnetic field behave differently? That is, why doesn't the Earth lose its magnetic properties? According to BBC News Brasil, the core temperature is around 6000 ° C, higher...
In this lecture Lenny Susskind describes a spin in a magnetic field precesses around the axis of the direction of the magnetic field. This description is also frequently found in NMR theory which is a semi-classical theory.
Lenny says if the magnetic field ##B_o## is applied in the ##z##...
If you take a horseshoe magnet and fuse the north and South Poles together (without destroying the magnetic field) would you have a “pole-less” magnet? And if so, what special properties would it have(other than other magnets)?
I was reading some papers about calculating the magnetic field produced by a coil using the biot savart law and I saw some graphs that caught my attention.
This one from a paper from Ravaud, et al. Titled "Calculation of the Magnetic Field Created by a Thick Coil". I saw similar graphs in...
I got stuck near the beginning, so I tried working backwards. Starting from
B = (k X E0)/ω * cos(k⋅r - ωt +φ)
I found
-∂B/∂t = -k X E0 sin(k⋅r - ωt +φ)
So now I need to find ∇ X (E0 cos(k⋅r - ωt +φ)) and see that it is equal to the above result. This is where I'm stuck though, I'm not sure...
Assume a solenoid coil(made up of ##N## windings) placed in the horizontal(##\hat{y}##) direction and in a constant uniform magnetic field.
Would an induced current run through the(closed) coil if it spins around its central horizontal ##\hat{y}## axis? My guess is "no", since such a current is...
Hello people, in a near future I'd like to calculate (numerically, with finite elements) the magnetic field of several permanent magnets of various shapes. I am wondering which equation(s) I should solve, exactly.
It's been a long time I dived into an EM textbook and I don't have one in hand...
A thought experiment:
A electron is moving in a straight line at velocity v. It instantly stops dead. It doesn't move another femtometer.
Obviously its magnetic field collapses and produces light. What is the waveform of the light produced?
Is it something like this...
Hi all, I interested in how can I get low of motion in for orbiting particle in a uniform magnetic field
$$\frac{d\vec{r}}{dt} = \vec{\omega}\times\vec{r},\qquad
\vec{\omega} = \frac{e\vec{B}}{mc},$$
Of course, rotating about z' axis is very simple.
\begin{equation}\label{eq:K}...
So I'm confused what the Saturation Flux Density is referring to. Defintion says it is when you no longer get an increase in H-field when increasing external B-field.
So, does the satuation flux mean the core can only create fields UP TO that saturation flux, or that it can make a stronger...
I'm looking for an estimation or simulation of the magnetic field in the horizontal plane just above a typical lens in a transmission electron microscope. A rough cross section of such a lens can be seen here: electron lens - Bing images .
The lens is cylindrically symmetric around the vertical...
Hi everyone,
I'm currently working on the problem listed above.
I'm pretty new to electrodynamics, and I'm learning on my own through a book. I was wondering if someone can please help me through this problem. Here are my thoughts:I think I need to use Faraday's Law of Induction for part (a)...
Suppose there is a charged line and near that line, there is a magnetic needle lying in the vertical plane of the line. The magnetic needle is radially placed. If the charged line and the magnetic needle are moving at a same constant velocity(parallel to the line, v<<c) towards an observer. I...
Hello folks,
I'm working on a question as follows:
I appreciate that there might be more sophisticated ways to do things, but I just want to check that my approach to the line integral is accurate. I will just give my working for the first side of the path.
So I have set up the path as a...
This problem honestly got me in big confusion.
I managed to find the angle ##\theta## at which the rod rests by equalling the components of weight and Lorentz's force... but from this point on I really don't know how to manage the harmonic oscillation part.
Okay, so, the magnetic field lying(parallel) to the plane of the coil is confusing me quite a bit.
Usually, in this kind of problem, we have a magnetic field directed perpendicularly to the plane.
Considering this orientation of the field, wouldn't the torque on this sort of "elementary brush...
When the mass starts sliding down, it will induce a current due to the cutting of B field.
By fleming right-hand rule, the B field points into the field, charge going in the direction down the ramp (current pointing down the ramp?),
therefore the force should be in the same direction of normal...
$$B = \frac {\mu_0 I}{2 \pi r} $$
By Right-hand Grip Rule, the direction of the magnetic field by wire in y-axis is into the paper (z)
while the direction of the magnetic field by wire in X-axis is upwards (+i)
The answer state the Magnetic field is in the (i - y) direction though.
Next...
Homework Statement:: The magnetic field at every point on the path of integration
Relevant Equations:: The scenarios/situations are shown in the attached photo.
"Any conductors present that are not enclosed by a particular path may still contribute to the value of B field at every point, but...
hi guys
this seems like a simple problem but i am stuck reaching the final form as requested , the question is
given the magnetic vector potential
$$\vec{A} = \frac{\hat{\rho}}{\rho}\beta e^{[-kz+\frac{i\omega}{c}(nz-ct)]}$$
prove that
$$B = (n/c + ik/\omega)(\hat{z}×\vec{E})$$
simple enough i...
I am trying to design an electromagnet which consists of a copper PVC sheathed wire wound around a cylindrical plastic spool of Circumference (C) = pi x diameter. The spool has a hollow body of diameter D1.
This wire has maximum length (L), cross sectional area A, resistivity P. The spool once...
The Lorentz's force acting on a charged particle perpendicularly "hitting" a magnetic field will be directed upwards, and generally directed towards the center of the circumference traveled by this particle, and so will cause a centripetal acceleration to keep it in a circular motion.
By...
I know the answer is ##ka^3/2##. I got ##ka^2## and I don't know how to get the right answer. I saw an explanation using integrals, but my class is algebra-based. My attempt:
##Flux=ABcos\theta##. I figure ##cos\theta## is 1 becuase the angle between the magnetic field and the normal to the...
Hello there, I've worked through this problem and I would just like to check whether I've understood it correctly. I found ##\vec H##, ##\vec B## and ##\vec M## using Ampere's Law and the above relations as I would for any thin current carrying wire and these were my answers:
$$\vec H = \frac I...
If ##\tau= 0.0727, N=60, i=1.3, B=1.0,## and ##\theta=15##, I tried the following calculation:
##\tau=NIABsin\theta##
##\tau=NIs^2Bsin\theta##
##s^2=\frac {\tau} {NIBsin\theta}=\frac {.0727} {60*1.3*1*sin(15)}=0.0632 m=6.32 cm##
The answer is probably right in front of me, but I don't know what...