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.

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  1. gasar8

    Two particles in magnetic field QM

    Homework Statement Two particles with spin S_1={1 \over 2} and S_2={1 \over 2} are at t=0 in a state with S=0. a) Find wave function at t=0 in S_{1z},, S_{2z} basis. b) Second particle is in a magnetic field B = (\sin\theta,0,\cos\theta), the Hamiltonian is H=\lambda \vec{S_2} \cdot \vec{B}...
  2. A

    B How do I calculate electron acceleration by gravitational waves

    If the amplitude of gravitational waves, frequency of gravitational waves and the vector potential of magnetic field in surrounding of such waves are known then what would be the easiest way to calculate resultant acceleration of electrons? My above question is based on the various researches...
  3. J

    Infinitely charged wire and moving charge

    Homework Statement There's a uniform infinite line charge with the charge density λ. A point particle with charge q moves with a velocity v parellel to infinite line. What is force exerted on point particle? What is magnetic field seen in ths moving frame(particle frame)? Homework Equations...
  4. DavideGenoa

    I Magnetic field by infinite wire: convergence of integral

    Let ##\boldsymbol{l}:\mathbb{R}\to\mathbb{R}^3## be the piecewise smooth parametrization of an infinitely long curve ##\gamma\subset\mathbb{R}^3##. Let us define $$\boldsymbol{B}(\boldsymbol{x})=\frac{\mu_0...
  5. T

    Illustrating the Direction of a Current in a Magnetic Field

    This is the question: At a certain location in the Philippines, Earth’s magnetic field of 39 µT is horizontal and directed due north. Suppose the net field is zero exactly 8.0 cm above a long, straight, horizontal wire that carries a constant current. What are the magnitude and direction of the...
  6. M

    Magnetic Field at any Point Around a Finite Straight Wire

    Hello, First of all, this question does stem from graduate work, but it seems far too simple to tag "advanced". I am looking to write some code to simulate the force from a railgun. The first step in doing this (from a tutorial I found) is to find the magnetic field at any point within the...
  7. peasqueeze

    I Use Lorentz Force to Find Magnetic Field Components

    So I am constructing an analogy between the self replicating fracturing effect on thin films and the path of a charged particle. (Qualitatively, several cracks have similar shapes to charged particle motion) I won't go into the details of the fracture mechanics, so I will only use E+M...
  8. D

    Magnetic field in frame of moving charge

    A charge moving relative to some observer produces magnetic field in space around it. Now I want to ask that how does the magnetic field of the charge at any fixed point varies as the charge passes by. Or is the B field only dependent on current and not a single moving charge? If I introduce...
  9. R

    Net force in a Non-Uniform magnetic field

    When there is a magnetic dipole placed in an external non uniform magnetic field, will it experience a net force?
  10. F

    A Experiment design FTL particle though magnetic field

    Hi. I was browsing Wikipedia on a topic, went to magnetic bearings, etc etc...ended up on synchrotron radiation then the phrase about how a moving or accelerat/ing/ed particle passing through a magnetic field generates electromagnetic radiation. Then I has a revelation. How to get a particle...
  11. K

    Magnetic field direction on Halbach array?

    Hi, hopefully someone here can help me! I'm interested in Halbach Arrays and specifically I want to make a circular array in which the field is amplified away from the array (as in above or below it), not to its inner diameter (or exterior circumference). Is this possible? On the web I've seen...
  12. Mary Space

    What does a magnetic field consist of?

    Of what consist magnetic field? Someone says that magnetic field consist of photon, is it true? Thanks in advance for your answers
  13. B

    Can a magnetic field create angular momentum?

    I know that magnetic fields can align objects with spin. In that case, if we suspend an object and turn on a magnetic field such that a significant number of electrons become aligned with the field, could we observe a macroscopic change in angular momentum?
  14. L

    Theoretical Magnetic Propulsion

    I was curious to the effects of a strong electromagnetic field applied to an object at distance. The field must be able to quickly activate and deactivate in order to account for the distance traveled towards the object as to eliminate the force applied to the source of the field by the object...
  15. D

    Angular velocity of an atom in a magnetic field

    Homework Statement The orbit of an electron (-e) around a nucleus (Ze) is a circular orbit of radius a in a plane perpendicular to a uniform magnetic field \textbf{B}. By writing the equation of motion in a frame rotating with the electron, show that the angular velocity \omega is given by one...
  16. I

    Magnetic field Hamiltonian in different basis

    Homework Statement A spin-1/2 electron in a magnetic field can be regarded as a qubit with Hamiltonian $$\hat{H} = \frac{1}{2}g\mu_B\textbf{B}\cdot\boldsymbol\sigma$$. This matrix can be written in the form of a qubit matrix $$ \begin{pmatrix} \frac{1}{2}\epsilon & t\\ t^* &...
  17. RoboNerd

    Question about strength of magnetic field down coil (solenoid)

    Homework Statement Hi everyone. I was reading through a book and came across the following question and explanation: " You are given two 200 meter strands of identical copper wire. With one strand you create a coil whose radius is 2 cm. With the second strand you create a 4 cm coil. Assuming...
  18. E

    Force on a ferrous object inside a non-uniform magnetic field

    Hello everyone! I want to know how to compute the force applied on ferrous inside a non-uniform magnetic field, to make it easier, let's assume that the field direction is constant, and the magnitude decreases linearly. Now, I know that ferromagnetic material inside a magnetic field will...
  19. M

    Partition function of electrons in a magnetic field

    Hello everyone, How can I calculate the partition function of N classical electrons (forgetting about the spin) in a box of volume V with Hamiltonian (The Hamiltonian is missing a factor of 1/(2m)) ? I tried calculating the partition function of one electron first in the canonical ensemble but...
  20. P

    Electric field given a time-dependent magnetic field

    I suppose that my main question is how to find the induced electric field given a time-dependent magnetic field, but i will demonstrate my question with an example: I constructed a simple magnetic field B = b*tz , permeating the whole space. The induced electric field will lie in the xy...
  21. S

    What is the value of induced magnetic field?

    Homework Statement Two coencenteric metalic shell has inner radius $r_1$ outer radius $r_2$. We place along axis infinity wire has $\lambda$ charge in per unit length. The inner region of metalic shells inserted with relative permabilitty coefficent $\epsilon$. This system rotates with $\omega$...
  22. C

    Magnetic Field outside an Iron Core Solenoid

    I need help in calculating the magnetic field outside of an iron core solenoid at different distances. I have made an electromagnet by taking a 99.99% pure iron (5cm in length and 1 mm in radius) and wrapping wire over it. I have measured it's magnetic field at the end and cannot find an...
  23. R

    Ever-increasing amplitude of the induced impulse?

    Hey I got a little imaginary experiment which is little bit confusing to me. Maybe somebody with knowledge in signal transmitting or just good knowledge of physics can help me out. So let's say there are two parallel conductors which length is endless and resistance is zero (no losses and...
  24. TheAnt

    How is the strength of a magnetic field measured?

    I was wondering at what point the strength of the magnetic of a magnet was mea. I assume it would not be the origin of the field which would be inside the magnet and not the side of the magnet itself as the value would be dependant of the size of the magnet. Is there a standard of where to...
  25. O

    I Finding Magnetic Field from Electric Field: A Classical Physics Problem

    Hey guys, i just came across this on my classical physics course. So, I'm given that: E(z, t) = {E_{0}}sin(wt)sin(kz)\widehat{x}, and I'm supposed to find an expression for the associated magnetic field B. Usually, i just find the propagation direction, and do it's cross product with the...
  26. TheAnt

    Does the inverse square rule work with a magnetic field?

    I am interested in mini magnetospheres. How do i calculate the intensity of the field at a certain distance if i already know theits intensity at the source?
  27. A

    Reduction of eddy currents' magnetic field during induction

    Since the field in the title is opposing the original magnetic flux that causes the induction, how can it be reduced? I understand that a laminated magnetic core can be used. 1) Where is this magnetic laminated core placed? 2) Can it be obtained from specialized manufacturers? 3) My choice for...
  28. hackhard

    B Does a Compass Point to Geographic South Below Earth's Surface?

    since magnetic field lines form closed loops , field inside Earth must be due geographic south will compass below Earth's surface point to geographic south?
  29. A

    Attraction between a magnetic field and iron

    This seems simple but i cannot find an answer anywhere. First off: is iron attracted to a magnet because the field strength on the side of the iron object closest to the magnet is stronger than the one furthest? And if this is true, how can one use this "differential" magnetic field to calculate...
  30. DavideGenoa

    I Integral: magnetic field inside infinite cylindrical current

    Let ##V\subset\mathbb{R}^3## be an infinitely high solid cylinder, or a cylindrical shell of radii ##R_1<R_2##, whose axis has the direction of the unit vector ##\mathbf{k}##. For any point of coordinates ##\boldsymbol{r}\notin \bar{V}## external to ##V## the Lebesgue integral (which is...
  31. fabiogn

    Current and magnetic field in a spherical capacitor

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  32. A

    Electron enters magnetic field at 5000V -- What's the radius?

    Hi! I'm getting ready for an exam and want to make sure if I solved some problems correctly. I would be grateful for your feedback :smile: 1. Homework Statement After going through potential difference of 5000 V an electron falls in uniform magnetic field. It’s induction is 0.1T and the...
  33. M

    Equipotential surface magnetic field

    Homework Statement True or not true:[/B] Equipotential surfaces of the magnetic field are no closed surfaces but extend to infinity Homework Equations - The Attempt at a Solution I think it is true, because they are perpendicular to the (closed) magnetic field lines, but I am not sure...
  34. J

    Circular loop in magnetic field

    Homework Statement A circular single loop of wire with a diameter of 20.0 cm lies in the plane of the paper in a region of space that contains a 1.75 T magnetic field pointing out of the paper. a) Determine the magnetic flux through this loop. b) If the diameter of the loop changes from 20.0...
  35. W

    Can vector fields have gradients, and how are they calculated?

    The force on a magnetic dipole in a magnetic field is the dot product of the magnetic moment and the gradient of the field B, but gradients are operations done on scalar fields to produce vector fields. How does one calculate the gradient of a vector field if field gradients are only defined...
  36. HelloCthulhu

    Breaking van der Waals molecules with magnetic fields

    I was researching the relationship between magnetic dipoles and chemical bonding and I came across a very interesting paper. I'm hoping some of you can shed some light on how magnetic fields are making dissociation of a molecule possible and how to measure it...
  37. M

    Cylindrical symmetric magnetic field

    Homework Statement Suppose the magnetic field line pattern is cylindrical symmetric. Explain with Stokes theorem that the field decreases like 1/r (with r the distance from the axis of the cylinder). Homework Equations Stokes theorem The Attempt at a Solution I was thinking of a circular loop...
  38. E

    Find the magnetic field in vacuum given an electric field

    Homework Statement Given an electric field in vacuum: Find the magnetic field under condition that |B| -> 0 as t -> infinity. Homework Equations I clearly have to use Maxwells equations to obtain the electric field here. Our equation for B has to satisfy them. More specifically Faraday's law...
  39. E

    I How does mars have a magnetic field, with a cooled core?

    I have been studying astronomy and astrophysics for about 2 years now, though on my own time and by my self. A recent question came into my mind, Can arctic planets exist close to their star? Now, in my understanding of planetary science, in order for a planet to be cool and close to the sun, it...
  40. Biker

    Reversing an electron's speed in a magnetic field

    Homework Statement The following picture illustrates the passage of an electron a magnetic field. The magnetic field is trying to reverse the electron's velocity to the opposite direction. Calculate the force that the magnetic field is exerting on the electron in given time of ## t = 5...
  41. L

    Magnetic field energy of electron

    I've got a question regarding the magnetic field of an electron, and wheter or not it has some form of "self inductance" or resistance to be put in motion. The magnetic energy per volume is equal to u= 1/2*μ*H2. Say I've got an electron at rest, then the energy of the magnetic field is zero...
  42. L

    A Madam Wu's Experiment: Exploring Electron Behaviour in a Magnetic Field

    Why in Madam Wu experiment more electrons are not in direction of magnetic field? See Fig. Why there is not four electrons in the direction of magnetic field and two in oposite direction?
  43. ciso112

    Potential and intensity of magnetic field

    Homework Statement Very thin wire bent into the shape of a quarter-circle with the radius R is uniformly charged with electric charge q. Calculate the potential and intensity of the electric field at point A, which lies on a line perpendicular to the plane of the semicircle and is passing...
  44. D

    I Magnetic Field Penetration in Superconductors

    Consider a 5 meter by 5 meter and 1cm thick superconducting plate, now place a very strong neodymium magnet against the underside of the plate.The plate is big enough so that the magnetic field does not go around the plate. Does a magnetic field penetrate the plate or is it blocked completely...
  45. P

    Why Do Proton Beams Repel and Current-Carrying Wires Attract?

    Question- Two proton beams going in the same direction repel each other whereas two wires carrying current in the same direction attract each other. Why does this happen? Attempt at the solution- Two proton beams should be equal to two currents in the same direction then why are we getting two...
  46. P

    Distance variation dependency between coil and magnet

    Hello! I'm wondering if there's a general dependency/connection/correlation/function for changes in distance between an electromagnet (coil with iron core) and a magnet (Samarium Cobalt). Here's a picture to explain what I mean: If I move the coil closer to the magnet (smaller x) the force...
  47. V

    Charged particle in Electric and Magnetic field

    Homework Statement A particle of specific charge q/m is projected from the origin of coordinates with initial velocity ##v_1\hat{i}+v_2\hat{j}## in space having uniform electric field and magnetic field as ##-E\hat{j}## and ##-B\hat{j}## respectively. The particle will definitely return to the...
  48. E

    How Does a Positron's Kinetic Energy Change with Magnetic Field Strength?

    Homework Statement A positron moves in a circular path of radius R due to a uniform magnetic field of strength B applied perpendicular to the plane of the circle. If B is varied, which of the following best represents a graph of the kinetic energy of the positron as a function of B so that the...
  49. EddieP

    Estimating magnetic field based on pull force

    I am trying estimate the approximate value in gauss of the magnetic field of a magnet I have based on its pull force, and I am wondering if anyone can comment on the validity of my method. I have tested the pull force of my magnet by weighing the heaviest object it can hold. I have also found...
  50. S

    Magnetic field change for induced current

    Homework Statement A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 10 cm formed from wire of diameter 2.5 mm and resistivity 8.5×10-8 Ω·m. At what rate must the magnitude of the magnetic field change to induce a 10 A current in the loop? Homework Equations...
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