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. Pushoam

    Exploring Magnetic Field and Potential: Solving for Correct Options

    Homework Statement Homework EquationsThe Attempt at a Solution Using ## \nabla \times \vec A = \vec B##. I got that both ##\v A_1 ~~and~~ \vec A_2 ## produce ## \vec B##. So, the correct option is (d). Is this correct? [/B]
  2. CDreyer23

    Rate of Change of Magnetic Field in Square wire loop

    Homework Statement The circuit shown is in a uniform magnetic field that is into the page. The total current in the circuit is 0.20 A, flowing counterclockwise. At what rate is the magnitude of the magnetic field changing? Is it increasing or decreasing? Square wire loop with base and height...
  3. T

    Wire loop falling out of a magnetic field

    Homework Statement Here is a link to the problem: https://imgur.com/a/0T9sF I am having trouble finding the time it takes the loop to leave the field in part a. Homework Equations ## emf=-\frac{d \Phi}{dt} ## ## \Sigma F=ma=mg-BIl ## ## \frac{dv}{dt}-\gamma v=g ## where ##...
  4. allison west

    Vector Potential of a Rotating Mangetic Dipole

    Homework Statement A rotating magnetic dipole is built by two oscillating magnetic dipole moments, one along the y-axis and one along the x-axis. Find the vector potential at a point: (0, 0, ##z_0##) along the z-axis. Then find the magnetic field at ##z_0## . As the magnetic field is a function...
  5. R

    Magnetic field and Poynting Flux in an Inductor

    Hi everyone, Lately I have been studying the Poynting Flux and I am familiar with the classic examples of how it can be used to describe the power being dissipated by a resistor and the energy flowing into a capacitor, but I have never come across a similar analog for how the Poynting flux...
  6. S

    Electrostatics? Magnitude and direction of a magnetic field

    Homework Statement A force of 2.4N is exerted on a -1.8µC charge in a downward direction. What is the magnitude and direction of the magnetic field at this point? (The assignment sheet is called "Electrostatics Questions", hence the "Electrostatics?" in the title) Homework Equations Electric...
  7. L

    A Hamiltonian in an electromagnetic field

    I have a question connected with the problem: https://www.physicsforums.com/threads/continuity-equation-in-an-electromagnetic-field.673312/ Why don’t we assume H=H*? Isn’t hamiltonian in magnetic field a self-adjoint operator? Why? Why do we use (+iħ∇-e/c A)2 instead of (-iħ∇-e/c A)2 two times?
  8. C

    Collision of two charged particles projeced in magnetic field

    Homework Statement Two particles having mass m separated by a distance d is uniform magnetic field as shown in the figure . If v=qBd/m, at what instant does collision occur. The coulomb force between the particles is switched off. Homework Equations T=2πm/qB The Attempt at a Solution For the...
  9. F

    Magnetic field outside a conducting hollow cylinder

    Homework Statement A current I flows along the surface of a hollow conducting cylinder. The radius of the cylinder section is r. By using Ampere's law, show that the magnetic field B outside the cylinder is B=\frac{\mu_0}{2 \pi} \frac{I}{r} Homework Equations Ampere's law...
  10. C

    Magnetostatics - Magnetic field of a nonuniform current slab

    Homework Statement A thick slab in the region 0 \leq z \leq a , and infinite in xy plane carries a current density \vec{J} = Jz\hat{x} . Find the magnetic field as a function of z, both inside and outside the slab. Homework Equations Ampere's Law: \oint \vec{B} \cdot d\vec{l} = \mu_0...
  11. Fibonacci Vonacci

    Magnetic Field of an AA Battery 'Immersed' in a Conductor

    If an AA battery were placed in some kind of ideal conducting 'ether': 1) Would current flow, and if so, what would the flow of electrons look like? 2) How would the magnetic field look? (I imagine that if there was an electric current flowing, that the magnetic field would look a little like...
  12. S

    Determining Magnetic Field Direction

    Homework Statement If you were to gain a few electrons and go running in Vancouver, what would be the magnitude and direction of the magnetic force that you would experience? Homework EquationsThe Attempt at a Solution So I was able to determine the magnetic force but my only problem is...
  13. Hawksteinman

    Imaginary value for magnetic field?

    [Mod Note: Thread moved from Classical Physics, hence no formatting template] So today we performed an experiment to measure the Earth's magnetic field in three dimensions. For one of the dimensions we got 6.6x10^-5 i We were wondering if an imaginary magnetic field was possible and what it...
  14. whatisgoingon

    XY plane as the interface between two media

    Homework Statement The xy-plane serves as the interface between two different media. Medium 1 (z < 0) is filled with a material whose µr=6, and medium 2 (z > 0) is filled with a material whose µr=4. If the interface carries a current (1/µ0)ˆy (y- hat) mA/m, and B2 = 5ˆx (x-hat) + 8ˆz (z-hat)...
  15. kmm

    Magnetic field of a cylinder with current down the center

    I was just in a conversation with someone regarding the magnetic field resulting outside of a solid cylinder, with a current moving down the center of the cylinder, and then the resulting magnetic field after removing the current. Now I haven't thought about magnetic fields/magnets for a while...
  16. P

    I Magnetic field of Solar System planets

    Hello. I am reading a paper which says that only Earth (between the rocky planets) keep a strong magnetic field and it arose an question on this: Why does the magnetic field of the planets decrease with time in such planets? Why the magnetic field of the Earth is the only one which keeps strong?
  17. G

    Kinetic Energy of Rotating Cone: Correct?

    I would like to fine the kinetic energy of a cone that rotates around its symmetry axis. I consider that the cone is formes by infinite cylinders with different radius and infinitesimal height. I end up with this result: K=1/4w^2R^2hM where w is the angular velocity R the radius h the height and...
  18. G

    Boosting AC Signal for Solenoid: Techniques for Current Amplification

    Hi, everyone. I'm working on a project right now where I need to amplify an AC signal to create as much current as possible in a solenoid to generate as strong a magnetic field as I can. I'm likely dealing with a maximum of 10 V and 10 mA from my signal generator, but I ideally need a peak...
  19. P

    Time of Electron/Proton to Radiate Away Half of Their Energy

    Homework Statement It is shown in more advanced courses that charged particles in circular orbits radiate electromagnetic waves, called cyclotron radiation. As a result, a particle undergoing cyclotron motion with speed v is actually losing kinetic energy at the rate $$\frac{dK}{dt} = -...
  20. astrocytosis

    Magnetic field inside and outside of a magnetized cylinder

    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...
  21. Z

    The origin of self inductance in a current loop?

    Hi Forum I am trying to get a better grasp of the relation between electric field and the magnetic field. The overall question is "What is The origin of selfinductance in a current loop?" Here are my thourghts: A battery is connected to a say circular wire with some resistance. The current...
  22. T

    Forces on magnets in a uniform magnetic field

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  23. R

    Ratio of electric field to applied magnetic field

    Homework Statement A metal rod of mass M and length L is pivoted about a hinge at point O as shown in Figure P32.80 (I have attached this to this post) The axis of rotation passes through O into the page. Find the ratio of the maximum electric field inside the rod to the applied magnetic field...
  24. M

    Calculating Magnetic Field at Point P from a Short Current Element

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  25. J

    Time Evolution of Spin in a Magnetic Field

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  26. J

    Charged particle in a magnetic field

    Homework Statement Homework EquationsThe Attempt at a Solution Velocity of particle at any time t is v = vxi + vyj Net Force on the particle F = (2qvyB)i + (2qvxB)j Net acceleration of the particle = F/m Magnitude of net acceleration = (2qvB)/m Particle has an initial velocity as well...
  27. T

    Why does the solar wind follow magnetic field lines?

    My physics teacher said that the northern lights are the product of charged particles coming from the sun and interactign with our atmosphere. I believe he said that these are deflected by Earth's magnetic field and directed towards the North and South poles. When I look at pictures on this...
  28. J

    Velocity of a slider in magnetic field

    Homework Statement Homework EquationsThe Attempt at a Solution As soon as switch S is closed , a current would flow in the circuit and the capacitor would act like a conducting wire . Force F =ilB towards right will act on the slider . There will be an acceleration but the velocity of the...
  29. A

    I Will a uniform magnetic field be considered as measurment?

    Any pure state of spin-1/2 particle can be represented by a superposition of spin up and spin-down relative to an arbitrarily direction. lw>=a l+> + b l-> where a^2+b^2=1 If there is no magnetic field, the measurement of the spin is random and we get 50-50 chance to be spin up and spin down...
  30. astrocytosis

    Magnetic field above the center of a square current loop

    Homework Statement Find the exact magnetic field a distance z above the center of a square loop of side w, carrying a current I. Verify that it reduces to the field of a dipole, with the appropriate dipole moment, when z >> w. Homework Equations (1) dB = μ0I/4πr2 dl × rhat (2) r =...
  31. K

    Paradox - different results for different viewers

    Homework Statement One person that we will call him - A is standing on an infinite charged non conductive panel with velocity V=(-Vx0,0). A is throwing a particle q with V=(Vx0,Vy0). The other person - B, is start running below the particle at t=t0. A thinks that B will see the particle above...
  32. M

    Solenoid with current carrying wire inside

    Homework Statement I have a solenoid with a wire carrying current in the center. The wire has a radius of a, the solenoid has a radius of b. I need to find the magnetic field inside of each region. Inside of the wire, mu =/= muo. Homework Equations Wire B field = uo I/2*pi*r Solenoid B field...
  33. D

    Quantum constant of motion in a magnetic field

    Hello, I have a doubt about the Complete Set of commuting observables (CSCO) in the cases when there are a magnetic field ##B## in z. The statement is find the constant of motion and CSCO for a particle of mass m and spin 1/2, not necessary a electron or any atomic particle. I know that the...
  34. V

    How Does Changing EMF Affect Current in an Inductor?

    Homework Statement Homework EquationsThe Attempt at a Solution In this problem as the rod moves towards right, magnetic force of magnitude ilB starts acting towards left on the rod.This decreases the speed of the rod .The EMF induced in the rod is Blv where v is the instantaneous speed of...
  35. R

    Magnetic field produced at point P

    Homework Statement https://imgur.com/gallery/vCOZq Its question 26, and the figure can be seen at figure 30.26 Derive and expression for the magnetic field produced at point P due to the current carrying wire shown in figure 30.26. The curved parts of the wire are pieces of concentric...
  36. D

    Electron accelerated through a potential and magnetic field

    Homework Statement (a) What voltage will accelerate electrons to a speed of ##6.00 \times 10^{-7} m/s## ? (b) Find the radius of curvature of the path of a proton accelerated through this potential in a 0.500-T field and compare this with the radius of curvature of an electron accelerated...
  37. A

    Magnetic field of off center triangle - Biot Savart Law

    PICTURE INCLUDED 1. Homework Statement A piece of wire is bent into an isosceles right triangle whose shorter sides have length a The wire carries current I. Calculate the magnetic field for point P. Point P is located on the Y-axis ( 0, √2a). Two corners of the triangle are are located at...
  38. shihab-kol

    Can a magnetic field defy gravity?

    If I keep iron fillings on a cardboard with a wire carrying current in some direction, I know that the fillings will orient in concentric circles.But what happens if I keep the fillings on the underside of the cardboard? Is it possible to make them hang in the air against gravity with a...
  39. W

    I Positive Charge Magnetic Fields: Real World Examples

    As a SP phenomena I thought this may be the best sub to post this. We understand how current creates a magnetic field, and almost all forms of current are really electron flow. My question is - are there any known (real world) examples of positive particle flow, creating a magnetic field...
  40. W

    Solving for Radius in Magnetic Field: q of Sr+?

    Homework Statement The Lorentz Force can be used to sort ions (atomic or molecular) based on their charge to mass ratio. This configuration has been used to separate isotopes and as a mass spectrometer. A beam of Strontium ions Sr+ is accelerated through a potential of 500 V and injected into...
  41. P

    Motion of a particle in a magnetic field and viscous medium

    Homework Statement In a homogeneous, non-magnetic, highly insulating and viscous medium, a moving particle experiences a viscous drag given by the law f→=−bv→. Here b is a positive constant. A particle having charge q is projected with an unknown velocity from a point in the medium. It almost...
  42. P

    Determining the direction of the magnetic field

    Homework Statement suppose we have a charging capacitor orientated along the z-axis, such that we have a changing electric field. How do I determine the direction of the associated magnetic field. Homework EquationsThe Attempt at a Solution I calculated the magnitude of the B field, and my...
  43. N

    Calculating Jupiter's Magnetic Dipole Moment Using a Dipole Approximation

    Homework Statement Jupiter has the strongest magnetic field in our solar system, about 14 G at its poles. Approximating the field as that of a dipole, find Jupiter's magnetic dipole moment radius= 69.9*x10^6 Homework Equations u=2UB or T=U*B The Attempt at a Solution T=...
  44. W

    Correlation between potential energy and torque

    In class while learning about electromagnetism, I was given the following two equations: U=-μ⋅B τ=μ×B where μ=IA First of all, what does μ stand for? How should I interpret the relationship between potential energy (U) and torque? Can someone explain this in terms of μ and B?
  45. B

    Berry phase of 1/2 spin in slowly rotating magnetic field

    Homework Statement Homework Equations This is the way to solve when magnetic field B is arbitrary direction one. The Attempt at a Solution I got a eigenvalue of this Hamiltonian and eigenstates. but i have no idea how to set a coordinate to value the gradient
  46. Z

    Does a moving charge posess a generated magnetic field?

    Hi all, This question has been bothering me for some time, so here it is. I know that moving a charged particle, like an electron, generates a magnetic field. I know that moving electric charges in a circle (a loop of wire) generates a magnetic field. The question is, will a charge moving in a...
  47. Lunct

    B How does the earth's magnetic field stop radiation?

    To my understanding, photons have no charge, so how does the magnetic field control them. Also side question - in the diagrams I see the photons seem to kind of curve around the magnetic field, does that mean they are accelerating?
  48. yrjosmiel

    Magnetic field of a single charged particle

    Let's say that there's nothing else in this universe except for 2 charged particles: q1 and q2. q1 is moving relative to q2, moving at velocity v. I've read that a magnetic field is made by a moving charge. In this case, the moving charge q1 is moving relative to q2. What would the magnetic...
  49. L

    Magnitude of the induced magnetic field in a circuit

    Homework Statement The circuit in Fig. 32-31 consists of switch S, a 12.0 V ideal battery, a 20.0 M resistor, and an air-filled capacitor. The capacitor has parallel circular plates of radius 5.00 cm, separated by 3.00mm. At time t=0, switch S is closed to begin charging the capacitor. The...
  50. M

    How can i measure high magnetic fields?

    Hello! I've made a lot of research about measurement of high magnetic fields - such us 1T - 2T and I can't find sensors for this range. I'm looking for a hall sensor with which I will be able to measure 1T magnetic field with good accuracy - about 0.1 mT. Do you know about anything like that...
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