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. L

    Jackson's 6.4 - Uniformly magnetized conducting sphere

    Homework Statement A uniformly magnetized and conducting sphere of radius R and total magnetic moment m = 4\pi MR^3/3 rotates about its magnetization axis with angular speed \omega. In the steady state no current flows in the conductor. The motion is nonrelativistic; the sphere has no excess...
  2. V

    How do you determine the sign of a magnetic field?

    Homework Statement Two long fixed parallel wires, A and B, are 10 cm apart in air and carry 40 A and 20 A, respectively, in opposite directions. Determine the resultant field (a) on a line midway between the wires and parallel to them and (b) on a line 8.0 cm from wire A and 18 cm from wire B...
  3. V

    Hamilton - Jacobi method for a particle in a magnetic field

    Homework Statement Hamiltonian of charged particle in magnetic field in 2D is ##H(x,y,p_x,p_y)=\frac{(p_x-ky)^2+(p_y+kx)^2}{2m}## where ##k## and ##m## are constant parameters. For separation of this system use ##S=U(x)+W(y)+kxy+S_t(t)##. Solve Hamilton - Jacobi equation to get ##x(t), y(t)## ...
  4. S

    Formula confusion for magnetic field inside capacitor

    Homework Statement Uploaded question(the formula in c part) And can you tell me in which all cases that formula is used. Homework Equations Just want to know where the formula in c part has come from. The Attempt at a Solution Sum of magnetic fields due to circular plates calculated and added...
  5. J

    Particle defined "at rest" compared to a magnetic field?

    I am trying to understanding magnetism and I've been running into this thought problem A particle a in a magnetic field B responds with Force F=|q|v x B. frame S: The field is B1, caused by a moving charge/s - current at speed v. the particle is at rest, F=0. frame S' moves with speed v/2...
  6. yrjosmiel

    Magnetic field of running current in a wire

    Why are they circular? You know, like this: Why not straight toward the wire?
  7. P

    Nonuniform magnetic field and stationary conductor

    Situation is this, consider a conductor moves perpendicular to the direction of magnetic field. But magnetic field is not uniform through out the conductor movement( but magnet is stationary and flux lines are in same direction and magic field doesn't change with time but changes with space...
  8. J

    Angle between electric and magnetic field

    1. Homework Statement Hi. This is my first question on PF so please forgive me if something's not right So I'm stuck at this question in EMT In frame1, E and B are parallel and related by E=cB. We are required to find the cosine of the angle between electric field E' and magnetic field B' in...
  9. O

    Can we produce magnetic field from stationary charge?

    Dear all, I know the sources of magnetic field are moving charges or varying electric field. I also know that subatomic particles(even neutron) have their own magnetic moment due to its quark and spin and their magnetic moment is explained by invoking quantum mechanics(though I don't know how...
  10. V

    Why does paramagnetic liquid rise in a magnetic field?

    When a magnetic field is applied across the left part of the tube , it's level rises as shown . I would be grateful if someone could help me understand why this happens . Thanks .
  11. Pushoam

    Direction of magnetic field due to a toroid

    Homework Statement To find the direction of magnetic field due to a toroid. Homework EquationsThe Attempt at a Solution Taking the cross - sectional shape of toroid circular, the toroid could be turned into a solenoid. A solenoid's magnetic field is along its axis. When the solenoid gets...
  12. Pushoam

    Deciding the direction of magnetic field of a solenoid

    Homework Statement Decide the direction of Magnetic field of a very long solenoid consisting of n turns per unit length on a cylinder with current I flowing through. Homework EquationsThe Attempt at a Solution Deciding direction of the magnetic field: Considering cylindrical coordinates with...
  13. Y

    ANSOFT Maxwell getting the radial component of the B-Vector

    Hi Guys, I am modelling a simple Magnetic field in ANSOFT Maxwell 15.0. My geometry is a linear array of ring magnets (NdFe30) and spacers (iron) (OD-25mm, ID-13mm). they are arranged in a co-axial fashion and in alternating order (spacer-magnet-spacer-magnet-spacer ect.) and the magnets are...
  14. rumborak

    Magnetic field = electric field in some reference frame?

    This Wikipedia article https://en.m.wikipedia.org/wiki/Relativistic_electromagnetism seems (to me) imply that there is always a frame of reference in which a magnetic field can be rather viewed as an electric field modified by relativistic considerations. Is that always true? That is...
  15. A

    Draw field lines for both magnetic fields

    Homework Statement Homework Equations N/A The Attempt at a Solution Im not sure if I've done this right because it seems too little for 6 marks. I have arrows coming from the north to the south end for the magnet's magnetic field. I have arrows going counter clockwise around the conductor...
  16. C

    How will the magnetic field change if I rotate the solenoid?

    If I do the x-axis rotation for a solenoid, how will the magnetic field change? Would it also rotate along x axis?
  17. M

    Are Particles Responsible for Magnetic Field Frequencies?

    So are there photons "flowing" from one end of a permanent magnet to the other? If so what determines the frequency?
  18. S

    Magnetic Field of a Rectangular Loop at Point P

    Homework Statement Find the magnetic field at the point distance R outside a rectangular loop of sides 2R, 4R carrying current I as shown in the attached diagram Homework Equations Biot-Savart Law The Attempt at a Solution Could I just break this up into 4 separate lines and then calculate...
  19. sergiokapone

    Electrictric field due to changing uniform magnetic field

    How does look like electric field lines due to change of the uniform magnetic field? Suppose we have a magnetic field between two infunite plates with surface current $i$ which is lineary change with time. Then B-filel is (x - perpendicular to plates, z and y along plates) \begin{equation} B_z =...
  20. Y

    What force does the current carrying coil feel?

    Homework Statement What direction does the force that the current carrying coil feel point to when a magnetic field is turned on? A magnetic field is turned on and points from bottom to top and passes through a current carrying coil that has current passing through it CCW. Here is a diagram...
  21. C

    Direction of Magnetic Field with Current and Motion in Same Direction?

    Homework Statement Homework EquationsThe Attempt at a Solution using the left hand rule, second finger points the direction of current, thumb points direction of motion and first finger the direction of magnetic field. But If direction of current and motion is the same, what do I do? Thanks~
  22. C

    Direction of the magnetic field

    Homework Statement Homework EquationsThe Attempt at a Solution I know if the currents are going the same direction they attract. So the top 2 attract each other and the bottom two attraction each other? And then the top repel the bottom... I'm stuck, please help~
  23. C

    Comparing Magnetic Field Strengths with Vectors

    Homework Statement Homework EquationsThe Attempt at a Solution Shouldn't they be the same? Does one being above the current and the other being below make any difference? I know when there is a higher density of magnetic field lines, the magnetic field strength is greater, but in this case...
  24. chopnhack

    Force on an electron in a magnetic field

    Homework Statement What is the force on an electron with a velocity v = (2i – 3j) Mms-1 in a magnetic field B = (0.8i + 0.6j – 0.4k) T Homework Equations F=qvBsinθ The Attempt at a Solution using cross product I got: (1.92i + 1.28j + 5.77k)10^-13 N which is the listed correct answer. My...
  25. K

    Can anyone help with this magnetism problem?

    A 2.53*10^(-6) C charged particle with kinetic energy of 0.0929 J is fired into a uniform magnetic field of magnitude 0.147 T. If the particle moves in a circular path of radius 3.38 m, determine its mass in kg. (answer should be within 2*10^-14 kg) The formula r=mv/qb comes to mind where r is...
  26. L

    Magnetic Field of a Line between two wires

    Homework Statement Two wires with the same intensity but with opposite directions. The magnetic field of the middle line between the two wires is: a) (X) b) (o) c) Parallel between the two wires d) Null e) Non of the above. Homework Equations N/A The Attempt at a Solution Knowing that they...
  27. O

    What moves in a magnetic field?

    So if you have a permanent magnet what is moving along the magnetic field lines? Electrons? Photons?
  28. P

    Rotor magnetic field and stator magnetic field

    This is one of the big confusions i have. When rotor magnetic field is 90 degrees with respect to stator magnetic field we get maximum torque. In field oriented control the a, b, c axis is converted to d and q axis. So making d axis to 0 and q axis to torque and running through pi loop does...
  29. anonyaway

    Rotating disc in a rotating magnetic field

    Homework Statement :A metallic disc of radius R is placed perpendicular to a magnetic field B.Both the magnetic field and the disc rotate with an angular velocity w about the axis of the disc.Find the induced EMF between the center and the circumference[/B]Homework Equations Motional Emf=Bvl...
  30. F

    Group of particles in a magnetic field

    Homework Statement A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25 x ##10^{-16}##N in the +y-direction, and an electron moving at 4.75 km/s in the -z-direction...
  31. F

    Direction of magnetic field and moving particle

    Homework Statement A particle of mass 0.195 g carries a charge of -2.50 x 10-8C. The particle is given an initial horizontal velocity that is due north and has magnitude 4.00 x 104 m/s. What are the magnitude and direction of the minimum magnetic field that will keep the particle moving in the...
  32. A

    What is a magnetic field "made" of?

    I have looked this up on several occassions and never satisfied. It seems that either the answer keeps repeating magnetic or electromagnetic field over and over. Or the answer discuss the properties of electromagnetism. Is the field a wave/particle like a photon ? Is it emitted like a photon...
  33. A

    What if Earth was exposed to a huge magnetic field?

    What would happen if the entire Earth was somehow exposed to a massive magnetic field, such as those found near magnetars, like 10^10 teslas, for about 1 second? Would everyone instantly die? What would be the impact of a moving magnetic field vs a stationary magnetic field be? How much time...
  34. Decimal

    Magnetic field from a wire at a point

    Homework Statement Picture of the problem: I first need to calculate the magnetic field in point P caused by the piece of wire at z = R (so the top wire parallel to the y-axis). Homework Equations [/B] Biot-Savart law for magnetic fields: ##\vec {dB} = \frac {μ0*I} {4*π} * \frac {\vec {dl}...
  35. A

    Textbooks for Electromagnetics, Dielectrics, Magnetic field and Polarisation

    I am a Graduate student in Electrical Engineering. I have to work on Electromagnetic, Dielectric, Magnetic field and Polarization for my project. But my problem is I do not have a good background in this course. Now, I really need it in graduate level. My question is, can you guys introduce me a...
  36. I

    Question about making a coaxial magnetic field in a pipe

    Hi, for a particular project, I would like to create a 1~2 Tesla magnetic field in a stainless steel pipe along the z axis. I was wondering if my concept would work, or if anyone had better ideas. Here's my concept. Fig1. So I got a few pipes about 1 inch in diameter. I would like to have a...
  37. P

    3 phase motor net magnetic field

    I am trying to understand the basics of bldc motor. My question is if i am driving the 3 phase motor with sinusoidal waveform. The magnetic field is produced for each phase or it will add together to generate net magnetic field? How to get the net magnetic field.
  38. E

    About magnetic field attraction

    We know a magnet has field with direction from North to South. Why when a piece of iron come close to the magnet can either be attracted and from both sites and not for example from one pole?
  39. V

    Magnetic compass and Earth's magnetic field

    Hello , I am having a slight confusion while reading the chapter on Earth's magnetism . If we place a magnetic compass on the floor I.e on Earth's surface , the North (red) of the compass needle points towards magnetic north of Earth . But would it be correct to say that "the compass needle...
  40. Arshavsky

    Net force on a Halbach Array in a uniform magnetic field

    I have been unable to determine whether a Halbach Array of permanent magnets would experience a net force in a uniform magnetic field.
  41. A

    How can the neutral outer core generate a magnetic field?

    Even if the outer core is convecting and conductive it is still charge neutral, so how can a Magnetic field be generated? Maxwells Equation say there needs to be net charge moving for a Magnetic field to be generated.
  42. M

    Magnetic field of a finite wire increasing with distance?

    I am computing magnetic field around a thick conductor to do railgun force modeling. I am currently re-examining my magnetic field computation, and I have found some confusing results stemming from a fairly simple use of the Biot-Savart Law. The main issue is that the more nuanced application of...
  43. Asmaa Mohammad

    The average EMF in a coil rotating in a magnetic field

    Homework Statement [/B] Homework EquationsThe Attempt at a Solution Solution for Q1: Solution for Q2: Solution for Q3: Are they correct?
  44. Asmaa Mohammad

    The rate of change in the magnetic field linkage in a coil

    Hi, I would appreciate it if someone explains the difference between these two phases regarding a coil rotates in a uniform magnetic field. 1. The rate with which the coil intercepts the lines of magnetic field in the dynamo is maximum when the plane of the coil is parallel to the lines of the...
  45. K

    I Muons magnetic field time dilation

    muons mean lifetime of 2.2 µs muons in a strong gravitational field or traveling at relativistic speeds experience time dilation would a muon in a strong magnetic field, say near a magnetar experience additional time dilation more than a muon in an non-magnetic field with the same...
  46. Cecilie Glittum

    I Spin and magnetic field of a photon

    Is the spin of a photon pointing in the same direction as the magnetic field of the photon?
  47. W

    Force due changing magnetic field

    Homework Statement Uniform magnetic field ##= Bt## exist in cylindrical region of radius ##R## is pointing into the plane of figure (as shown in figure). A frictionless groove of length ##L## is fixed symmetrically from the centre O at a distance of ##\frac{L}{2}## .A charged particle of mass...
  48. M

    Magnetic Field Computation from Thick Rectangular Conductor

    Hello, and thanks in advance for taking a look at my question. Generally, I am trying to make a railgun force model. Since railguns depend on the magnetic field created around the rails (and the resulting Lorentz force) I need to model the magnetic field created by the current that flows...
  49. N

    What direction does a compass point to in a magnetic field?

    Hello Today we did a lab and one of the activities was having a compass underneath a wire while the current was off. The wire was straight so that it was directly aligned to be with the needle of the compass. One the current was flowing, the compass arranged itself in that it was not exactly 90...
  50. T

    Magnetic field behind “invisible barrier”

    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...
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