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. J

    Calculating the frequency of an electron orbiting in a magnetic field

    So my thought process is as follows, since the initial centripetal force and the second magnetic force are working together, we can set up an equation to calculating final frequency. However, I am struggling with how this can be done given so little numbers. mvi^2/r + qvB = mv^2/r Am I on the...
  2. C

    Imperial-Metric Unit conversion for Magnetic Field Gradiometer?

    Hi all, I have a question which I think should be a simple solve for most people but I cannot seem to get my head around it. It is a common case in geophysical surveying that a magnetic field vertical gradiometer might be used. This instrument uses two magnetometers separated by a known...
  3. L

    How long does it take for the Magnetic Field to reach the detector?

    Suppose I had an electromagnet that would instantly go to full power when turned on (impossible) and at one light second away a detector capable of detecting the electromagnet. When I turn the electromagnet on how long does it take for the field to reach the detector?
  4. M

    Exploring Earth's Magnetic Field & Charge

    Does the Earth have a charge? so magnetic field? Is there a function to its distribution on the Earth surface? If there's a free charge on the air will it effect by it?
  5. noxidINF

    Motor drive a coil in a magnetic field to power itself?

    Hello Friends, I have been wondering, is it possible to construct a motor, and attach a coil to it, such that with the motion due to the rotation of the motor, it generates a excess of energy that can be used to power the motor in turn, basically, could i use the excess to charge a battery that...
  6. Haorong Wu

    An electron in an oscillating magnetic field

    Homework Statement An electron is at rest in an oscillating magnetic field $$ \mathbf B = B_0 cos\left( ωt \right) \hat k $$ where ##B_0## and ##ω## are constants. What is the minimum field (##B_0##) required to force a complete flip in ##S_x##? Homework Equations $$H=- γ \mathbf B \cdot...
  7. T

    Detrimental impact of magnetic field on PCB and battery?

    Hi there, we are developing a small consumer electronics product consisting of a small 4-layer PCB along with a few PDM microphones and BLE chip/ and antenna, as well as a LiPo battery. We are locating a small but pretty strong magnet next to these components in the enclosure. It is an N52...
  8. K

    Solving a PDE with boundary problem

    Homework Statement I want to find the solution to the following problem: $$\begin{cases} \nabla^2 B=c^2 B &\text{ on the half plane } x>0 \\ B=B_0 \hat{z} & \text{ for } x<0 \end{cases}$$ in the ##xz## plane. ##c, B_0 \in \mathbb{R}## Homework Equations I am not really sure what would be...
  9. Harborseal

    Calculating magnetic field 4 feet away from 2 magnets

    Hi! I'm new here. I took physics back when we calculated pterodactyl drag and I remember what an integral looks like but that's about it. I hope I chose the right prefix. What I'd like to do is find the dimensions of N48 neodymium cylinder magnets that would produce a minimum field strength...
  10. JD_PM

    Why the magnetic field doesn't have to describe a circle?

    Homework Statement Imagine an infinite straight wire pointing at you (thus, the magnetic field curls counterclockwise from your perspective). Such a magnetic field equals to: $$B = \frac{\mu I}{2 \pi s} \hat{\phi}$$ I want to calculate the line integral of ##B## around the circular path of...
  11. MedEx

    Find the Velocity given Magnetic field and Magnetic Force

    Homework Statement A proton moves through a uniform magnetic field given by B=(13.7i−22.9j+23.5k) mT. at time t1 v=(vxi +vyj+1.68k)km/s and the magnetic force is given by F= (4.22e-17i + 2.52e-17j). What are vx and vy Homework Equations F=q(v x B) The Attempt at a Solution First I converted...
  12. M

    A 2D Harmonica Oscillator For Holes In Magnetic Field

    Hello I am bemused by a sign convention for Holes, My questions are as follow: For an electron inside the 2D Circular Quantum Well. We can write our Hamiltonian as H = 1/2m * ( p - q A)^2 + 1/2 m w^2 r^2 (Should we use minus in the momentum term? I think for Holes, it is) If we expand this...
  13. S

    Magnetic field of a hollow conductor in special circumstances

    I know the magnetic flux inside a hollow conductor is zero. Is this also true if the observer is inside the conductor and the conductor is rotating in relation to the observer so that the electrons are traveling in spirals around the hollow center?
  14. A

    B Does being tidally locked affect a planet's magnetic field?

    Quick question from an amateur: Assume you have a tidally locked rocky planet around a red dwarf star. I've heard that a magnetic field is or can be dependent upon the rotation of a planet (I've read that the lack of rotation of Venus was a possible reason for the weak magnetic field among...
  15. Raihan amin

    Superconductor in an external magnetic field

    Homework Statement A superconducting spherical shell of radius R is placed in a uniform magnetic field ##\vec{B_0}## 1)Find the magnetic field everywhere outside the shell 2)the sutface current density Homework Equations Inside the shell the net magnetic field is 0, and at the surface also...
  16. L

    Find the magnetic field given I, t, Hall EMF, and G_s

    Hi! I had this problem for homework (Mastering Physics), and I'm not sure what I'm doing incorrectly. Is there something fundamental that I'm misunderstanding? Each time I do this, I get 0.717136.. T as my solution 1. Homework Statement I = 12.6 A w = 0.0142 m t = 0.00122 m E_H = 1.82 *...
  17. ChinoSupay

    A Fermi gas in a magnetic Field?

    I am currently working in astromagnetism. My question is, somebody knows if a fermi gas (degenerate electrons) can increase or decrease de total magnetic field due to an influence of an external magnetic field and if somebody have information about that. I know that an external magnetic field...
  18. T

    Magnetic Field of a Moving Charge and the Displacement Current

    We all know a moving charge generates a magnetic field. A moving charge also generates a displacement current ∂E/∂t. Is the magnetic field generated entirely due to the presence of the displacement current, or is there an independent, separate effect which contributes to the magnetic field?
  19. mmest

    Magnetic Field required to hold a loop in static equilibrium

    Homework Statement There is a square loop with mass of 4.0 kg and side length 4.5 m that is tilted upwards from the ground at a 25 degree angle with one side resting on the surface. The loop is a conductor that has 25 A of current going through it. The question asks to find the strength a...
  20. K

    Interesting Magnetic Field Induction Problem

    Homework Statement Suppose we have an isolated, long, narrow straight wire with low electrical resistivity. A constant current ##I## is sent through this wire. We know that if an electron is sent on a path which is perpendicular to the wire, towards it, with an initial speed ##v_0##, and the...
  21. A

    What is the magnetic field generated by these two particle beams?

    A uniform beam of positively charged particles is moving with a constant velocity parallel to another beam of negatively charged particles moving with the same velocity but in opposite direction separated by a distance d. Then, how should be the variation of magnetic field B along a...
  22. B

    Earth’s magnetic field alignment and climate change?

    The Earth’s magnetic field is slowly moving with respect to the Earth’s surface and to the Sun’s incoming radiation and solar wind direction. Does the tilting/moving of Earth’s magnetic field axis to the incoming solar wind direction change the protection on different points of the Earth’s...
  23. G

    Does an iron ring shield a static magnetic field?

    Hi. This picture shows an iron ring shielding a static magnetic field: Does this really work, and why? I know that a conductor can shield an electric field (Faraday cage) and a changing magnetic field (Lenz's law), but why would it shield a static field? Especially since iron is a ferromagnet.
  24. H

    Magnetic field of a moving charge and Maxwell's equations

    How can we calculate the magnetic field of moving charge by the Maxwell equation ##\nabla \times H=J+\frac {\partial D} {\partial t}##? I mean which term, ##J## or ##\frac {\partial D} {\partial t}##, should be taken into account in calculations? The first, second, or both? Can we deal with the...
  25. J

    Who defined the positive direction of the magnetic field?

    This is about the history of electromagnetism. I already know about the convention that defined which electric charge is the "positive" one, which ended up making the electron a negative particle. But what about the "positive" direction of the magnetic field? Does anybody here know how it was...
  26. S

    Solving the Speed of Blood Flow in a Magnetic Field

    1. The question... "Blood is a conducting fluid. When flowing through an artery of diameter 10mm which is subject to a constant magnetic field of strength 60mT, an e.m.f. of 0.3mV appears across the width of the artery. Calculate the speed of the blood" 3. The solution... The solution given...
  27. M

    Repulsion of the Earth's Magnetic Field

    I have a question why a magnet's magnetic field or a coil's magnetic field will not oppose the Earth's magnetic field? Is it because the Earth's field is not strong enough or the magnet/coil doesn't cover enough square area? What formula's would I use to figure out what strength or area I...
  28. S

    Direction of the magnetic field of the Earth

    So, I have had a bit of a look around and can't come up with a concrete answer, so I thought I'd post my curiosity on here! What is the direction that a compass points in 3 dimensional space, and how is this affected by proximity to North? to clarify what I mean: We all know that compasses...
  29. A

    Magnetic field on a loop due to another loop

    In the attached picture, the outer wire is carrying a current I(t), and it's asked to find the induced EMF in the inner loop. Now I have indeed calculated the B-field along the z-axis due to the outer loop. My lecturer then puts z=0 into that expression and then multiplied it with the area of...
  30. li dan

    On the magnetic field in the Meissner effect

    As shown in the figure, in the Meisner effect, the magnetic field of the magnet bypasses the superconductor. My question is, does the magnetic B field belonging to the magnet increase at the arrow indicating position? Or is there no change in the intensity of the magnetic field that belongs to...
  31. li dan

    Can an aircraft using a geomagnetic field generate lift?

    As shown in the figure, the aircraft includes a geomagnetic field convergence layer, which is a superconductor material. The geomagnetic field convergence layer repels the direction of changing the geomagnetic field, so that the geomagnetic field passes between the upper and lower converging...
  32. CptXray

    Find the magnetic field inside the cylinder

    Homework Statement There's a very long cylinder with radius ##R## and magnetic permeability ##\mu##. The cylinder is placed in uniform magnetic field ##B_{0}## pointed perpendicularly to the axis of cylinder. Find magnetic field for ##r < R##. Assume there's a vacuum outside the cylinder...
  33. S

    EMF induced in rotating rod inside uniform magnetic field

    Homework Statement A 40 cm rod is rotated about its centre inside a region of uniform magnetic field of 6.4 T. Given that the speed of rotation is 15 rad/s, find potential difference between the centre and either end of the rod Homework Equations emf = - ΔΦ / Δt ω = 2π / T The Attempt at a...
  34. Robert Friz

    How does a magnetic field collapse?

    I have a basic question about magnetic fields, but the answer will help me better understand quantum collapse issues. If the current in a wire is instantaneously shut off, what happens to the magnetic field that was present when the current was flowing? To be more specific: Wire...
  35. Leo Consoli

    Why Does Gravitational Potential Energy Seem Absent in Magnetic Field Motion?

    Homework Statement A particle of mass M, with charge Q is left at the point A. After reaching point P the particle is at the effect of a constant and uniform magnetic field of intensity B reaching point Q. Find H. Homework Equations P=mg Fm=qvB Ke=(mv^2)/2 U=mgH The Attempt at a Solution...
  36. Javier Lopez

    Particle movement in a non-static magnetic field

    Particles follows accordingly the general equation: $$ m*\overrightarrow{a}=q*\overrightarrow{E}+q*\overrightarrow{v}\wedge \overrightarrow{B} $$ But in the case of two coupled coils the time varying current at primary coil (and its magnetic field variation) creates corresponding varying...
  37. marino

    Power generated by a coil rotating in magnetic field

    The problem: a coil of radius r, length l and N turns, rotating with constant angular velocity ω around an axis perpendicular to its simmetric axis and passing for the center of the coil. The coils is submersed in a static magnetic field, intensity B0, perpendicular to the axis of rotation of...
  38. R

    Derivation: force on magnetic moment in magnetic field

    I am trying to derive the equation ##\vec{\Gamma} = \vec{m} \times \vec{B}##, where ##\vec{m} = I \vec{A}## is the magnetic moment, and ##\vec{A}## is normal to surface ##A##, from the Lorentz force law ##\mathrm{d}\vec{F} = I \vec{dl} \times \vec{B}##. For an arbitrary closed current loop ##C##...
  39. S

    Force in a magnetic field on a moving coil

    Homework Statement A square coil (sorry, its not "current carrying" as shown in diagram, my mistake) of length L is released from rest, in a horizontal uniform magnetic field going into the plane of paper, of length 2L. What can you say about the coil's acceleration? Homework EquationsThe...
  40. artworkmonkey

    Sun question: Determine the velocity of the gas

    Homework Statement From near to the center of the solar disc, Fe I line emission from point X shows a spectral line with components 666.823, 666.830 and 666.837 nm, around the rest wavelength of 666.800 nm. The central component is not as bright as those at the longer and shorter wavelengths...
  41. F

    How to dampen movement within a magnetic field?

    I'm not sufficiently educated on this stuff to properly describe the question. Sorry. Consider the following. a primitive gauge is set up in order to observe the differential air flow between two sources. Assuming static pressure linearly corresponds to differences in flow. so balancing air...
  42. Clara Chung

    Question about a conducting sphere in a varying magnetic field

    Homework Statement 3. A spherical conducting shell is placed in a time-varying magnetic field. Is there an induced current along the equator? Homework EquationsThe Attempt at a Solution I don't know what is the right answer. I mean...why not? Is the magnetic field is changing, there should be...
  43. Magnetosphere

    Need help with the magnetic field generated by this current distribution

    Homework Statement A DC current is flowing between two electrodes through a iron disk medium. Positive is attached to the copper shaft of the disc and the negative is attached to the outer brass periphery of the disk. The radius of the disk is 2,54mm (1 inch) and the height of the disk is 1cm...
  44. Francisco Dahab

    I About spin precession in a magnetic field

    So I was trying to see what the result for the spin precession would be if the magnetic field pointed in the y-direction instead of z. I feel like either something with what I'm doing is wrong or, I'm just overlooking something because I keep getting complex energy eigenvalues. So what I'm doing...
  45. V

    Magnetic field at a point due to a line of charge

    Homework Statement A wire carrying a current I in the positive x direction is located along the x axis. The wire is of finite length and is located between x = -L and x = L. Find the magnetic field at a field point located a distance a away from the wire. Homework Equations Biot-Savart law...
  46. C

    Path of a conducting sphere through a uniform magnetic field

    Hello, could someone help answer this question for me: How would the path of a conducting sphere (i.e. AL) be affected as it passes through a strong uniform magnetic field orthogonal to the direction of motion. I believe the Lenz effect/Eddy currents will create a magnetic field opposing the...
  47. Z

    Earth's magnetic field -- How "suddenly" does it switch?

    I know, geologicaly speaking, that "suddenly" is a relative term. So when they say that Earths magnetic field suddenly switches, how long are we talking about. Days, hours, centuries?
  48. M

    Spin of a nucleus within an external magnetic field.

    When a nucleus is placed inside an external magnetic field, it aligns itself parallel to the field, as that is the most stable position for it to be in. In more technical terms: it acquires an alpha spin. When you shine radio waves at this nucleus, it absorbs energy and flips over anti-parallel...
  49. cookiemnstr510510

    Force needed to move a conducting bar on a wire U-loop in a magnetic field

    Homework Statement Hello all, not really sure what to title this. Heres the question: Ceicil sets a trap. According to ceicil, all she has to do is somehow attach a conductive bar with resistance 1Ω to the turkey and then get it to walk along a wire loop in a region of 100T magnetic field (as...
  50. cookiemnstr510510

    Solve Magnetic Field Homework: Find Velocity of Metal Strip

    Homework Statement A metal strip 6.5cm long, 0.88cm wide, and 0.76cm thick moves with constant velocity, magnitude v along positive y-axis, through a magnetic field, B=1.2mT along positive z-axis. A potential difference of 3.9x10^-6V is measured between points x1 and x2 (as shown in...
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