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.

View More On Wikipedia.org
  1. X

    Magnetic field outside the solenoid

    Homework Statement I found solution to problem 257 from "300 Creative Physics problems" hard to understand. In that problem we have very long solenoid with coil wounded in one layer. Data such as: density of turns, magnetic field at distance of 5 cm form the axis of solenoid and diameter (1 cm)...
  2. Titan97

    Work and Heat Transfer in a Magnetic Field: Conduction Rod on Conducting Rails

    Homework Statement A conduction rod (of mass ##m## and length ##l##) was placed on two smooth conducting rails rails connected by a resistor as shown: (the circuit is placed in ##XY##-plane A constant uniform magnetic field is switched on along ##-Z## direction with magnitude ##B## The rod is...
  3. Andrew Wang

    Cathode Ray Tube and magnetic field Question

    Homework Statement A cathode ray tube (CRT), consisting of an electron gun and a screen, is placed within a uniform constant magnetic field of magnitude B such that the magnetic field is parallel to the beam axis of the gun, as shown in figure...
  4. L

    Does time run slower or faster in a magnetic field?

    Does time run slower or faster in a magnetic field?
  5. B

    Does accretion reduce the magnetic field of a neutron star?

    When a large amount of plasma radiates greatly while accreting on a magnetized neutron star, where does the radiation ultimately get its energy from, the magnetic field and/or gravitational field? Without doing the numbers, if the magnetic field does the work against the gravitational field, and...
  6. Q

    Magnitude of magnetic field at distance from central axis

    Homework Statement A coaxial cable consists of an inner cylindrical conductor of radius R1 = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 = 0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current I1 = 4.4 A in one direction, and the outer...
  7. F

    A coil moves into a magnetic field

    Homework Statement A coil, made up of 1850 loops, is inserted in an electric circuit and has a resistance of 45,0Ω. The area of each loop is 4,70⋅10^(-4) m^(2). The coil moves from a region where there's no magnetic field, to a region where the magnetic field is present. The normal to the coil...
  8. C

    Zero Induced EMF: Find Rate of B Change for Problem 9

    Homework Statement Question I need help with: If wire AB of problem 9 moves with a velocity of 50.0 m/s to the right, at what rate should B change when the wire is at a distance of 5.00 cm from the left end of the loop, such that there will be no induced emf in the circuit? Answer: 300 T/s...
  9. A

    Current through Earth's center to produce magnetic field

    1. The field strength of the Earth is 5x10^-5 T at the surface. Space shuttles orbit the Earth at a speed of 7860 m/s . They orbit at an altitude of 322 km. If we assume that a single current loop at the Earth's radius is generating the magnetic field, then what is the current? Determine the...
  10. P

    Magnitude of the Magnetic Field at point P

    Homework Statement Two long wires (in cross section) that each carry a current ##i## directly out of the page. What is the magnitude of the field at point ##P##, which lies on the perpendicular bisector to the wires? Homework Equations ##B_{wire}=\frac{\mu_0 i}{2\pi r}## The Attempt at a...
  11. Titan97

    Magnetic field at the centre of current carrying spiral

    Homework Statement A thin insulated wire forms a plane spiral of N turns carrying a current ##i##. The inner radius is ##b## an outer radius is ##a##. Find magnetic field at centre of spiral Homework Equations $$B=\frac{n\mu_0i}{2R}$$ The Attempt at a Solution For an area of ##\pi(b^2-a^2)##...
  12. phys-student

    Finding B, M, and H for an infinite conducting slab

    Homework Statement We have an infinite slab of conducting material, parallel to the xy plane, between z = −a and z = +a, with magnetic susceptibility χm. It carries a free current with volume current density J = J0z/a in the x direction (positive for z > 0, negative for z < 0). The integrated...
  13. E

    Independent fields' components in Maxwell's equations

    In a source-free, isotropic, linear medium, Maxwell's equations can be rewritten as follows: \nabla \cdot \mathbf{E} = 0 \nabla \cdot \mathbf{H} = 0 \nabla \times \mathbf{E} = -j \omega \mu \mathbf{H} \nabla \times \mathbf{E} = j \omega \epsilon \mathbf{E} If we are looking for a wave...
  14. B

    Current carrying bar in a magnetic field

    Hello, I am having trouble seeing what is going on here and would really appreciate a discussion about the situation. 1. Homework Statement A bar of length ##L = 20 cm## and negliglible mass can slide over two conducting rails connected to a dc generator producing an emf ##V_0 = 6 V##...
  15. H

    Is this magnetic field equation correct in material as well?

    Homework Statement Or is it only valid in vacuum condition? Segment of straight wire carrying current I (at distance r) dB = u.Idl x r / 4pi . r^2 (I've came across it on a book about Maxwell's Equations.) Homework EquationsThe Attempt at a Solution Does correction have to be made for...
  16. C

    Find expression for electric field from magnetic field

    Homework Statement In a region of space, the magnetic field depends on the co-ordinate ##z## and is given by $$\mathbf{B} = \hat{\jmath} B_0 \cos \left(kz - \omega t \right)$$ where ##k## is the wave number, ##\omega## is the angular frequency, and ##B_0## is a constant. The Electric Field in...
  17. S

    Magnetic field of a circular loop

    Homework Statement A circular loop of radius R is on the xy plane and the center is at the origin, the current is flowing in a counter-clockwise manner. a) Let Q=(a,0,a) be a point such that a>>R. Find Br and Bθ at Q. b) Let Q=(ha,0,0) be a point on the x-axis such that h<1. Find the vector...
  18. C

    Torque of charged rotating disc in uniform magnetic field

    Hi, I'm having an issue with finding a starting point for the following problem. I've looked through my magnetism and electrodynamic notes but was unable to find a starting point. Could someone please help direct me on the correct path? Thank you. Homework Statement A thin circular disc of...
  19. S

    Magnetic field of a long solenoid

    Homework Statement A long solenoid has current I flowing through it, also denote N as the turns per unit length. Take its axis to be the z-axis, by symmetry the only component of the magnetic field inside is Bz. Find the magnetic field at the center of the solenoid (on the axis). Also, find the...
  20. W

    Calculate electric field given the magnetic field

    Homework Statement The B field depends on z and t so that ##B = j B_{0}cos(kz-\omega t)## where k is the wavenumber, ##\omega## is angular frequency and ##B_{0}## is constant. The electric field is ##E = E_{x}i + E_{y}j +E_{z}k##. Given ##E_{y}=E_{z}=0##, and ##E_{x}=\frac{\omega B_{0}}{k}## at...
  21. L

    What is the RMS magnetic field of light

    Homework Statement A window, 1.0m by 1.0m receives 27J of energy, from sunlight, in one minute. What is the Rms magnetic field of the light striking the window. Homework Equations E = cB I = (ErmsBrms) / μo The Attempt at a Solution Not sure if those equations are right when solving this...
  22. S

    Circle or polygon for charged particle in magnetic field....

    ...perpendicular to its path? OK; let's say you have any charged particle moving perpendicular to a magnetic field; does it describe a gigantic polygon or a perfect circle? I think it's a polygon; the particle absorbs a "quantum of force" from the magnetic field, so to speak, and changes...
  23. phys-student

    Approximating magnetic field as the field of magnetic dipole

    Homework Statement A square wire loop of size 2a by 2a lies in the x- y plane with its center at the origin and sides parallel to the x and y axes. A counterclockwise current I runs around the loop. (a) Find the magnetic field on the z axis. [Answer: Bz = 2μ0Ia2/[(a2 + z2)(2a2 + z2)0.5]] (b)...
  24. S

    Strength of magnetic field on "eBay electromagnets"?

    How strong, approximately, is the magnetic field, on a powerful electromagnet, that you buy on eBay, that can lift, say, a 100 kg?
  25. S

    Evolution of magnetic field in a Z-pinch?

    How does the magnetic field in a Z-pinch develop with time? Does it get stronger and stronger as the pinch contracts? How strong? Where can I read about it on an intermediate or perhaps advanced level? I'm looking for both books and articles. S.A.
  26. P

    Magnetic field from a square loop

    Homework Statement A wire is formed into the shape of a square of edge length L. Show that when the current in the loop is I, the magnetic field at point P a distance x from the center of the square along its axis is $$B=\frac{\mu_0 IL^2}{2\pi(x^2+L^2/4)\sqrt{x^2+L^2/2}}$$ Homework...
  27. K

    Magnetic field of a Spin-1/2-Particle

    Suppose we have a Spin-1/2-Particle with no charge, like a Silver Atom, fixed at the origin. The magnetic dipole moment is \mathbf{\mu}=\gamma\mathbf{S}, where \gamma ist the gyromagnetic ration and \mathbf{S} is the spin angular momentum. The magnetic moment creates the magnetic field...
  28. gokhul

    Polarisation of magnetic field

    Does magnetic field of lightgets polarised when electric field polarised when passed through a polariser
  29. W

    Magnetic field of a bent wire and Biot Savart law

    Homework Statement A straight wire carrying current I goes down the positive y-axis ( I is also in this direction) from infinite y to the origin. At the origin it changes direction 90 degrees and goes along positive x to infinity. Find B at (0,0,z). I'm given that ##\int_{0}^{\infty}...
  30. S

    Magnetic field in early universe

    Dear all, Can anyone give me a time scale/ redshift range as an estimate for the formation of magnetic fields in the universe?
  31. V

    Direction of current in a magnetic field when loop is square

    Homework Statement A flexible wire loop has a radius of r = 0.178 m and it is inside a uniform magnetic field of B = 0.332 T. The loop is grasped at points P and Q and stretched until its area is zero. It takes 0.146 s to close the loop. Homework Equations EMF = ∆Phi/∆t Phi = magnetic flux...
  32. C

    Why did we need a 8.3 T magnetic field in the LHC beam pipe?

    I tried to work backwards and verify the magnetic field required by the LHC beam pipes. A circumference of 27km implies a radius R=4300 m. The beam energy E is 7 TeV per proton beam. Considering approximation E approximately equal to pc to get momentum (ultra-relativistic case). Plugging into...
  33. B

    Plasma in a Vacuum Reacting to Magnetic Field

    So, assume you have a plasma in a vacuum made of an even distribution of 50% electrons and 50% protons all flowing in one direction with low collision frequency. Then you suddenly turn on an external magnetic field and watch what happens. How will the plasma react? Will the magnetic field...
  34. K

    Electric and Magnetic Field lines

    Homework Statement The figure shows crossed uniform electric and magnetic fields and, at a certain instant, the velocity vectors of the 10 charged particles listed in the table. (The vectors are not drawn to scale.) The speeds given in the table are either less than or greater than E/B (see...
  35. M

    How Do Bar Magnets Create Zero Magnetic Field at Point P?

    1. The magnetic field at point P due to a magnetic source S1 is represented by ==>. Can a bar magnet S2 be brought close to P so that the total magnetic field at P due to S1 and S2 is zero? Explain your answer.2. None3. Yes, this is possible if both fields at point P have the same magnitude but...
  36. C

    Nichrome and Copper Circuit w/ Electron Mobility

    Homework Statement In the circuit shown, two thick copper wires connect a 1.5 V battery to a Nichrome wire. Each copper wire has radius R = 0.009m and is L = 0.17m long. Copper has 8.4 \times 10^{28} mobile electrons/m^3 and an electron mobility of 4.4 \times 10^{-3}(m/s)/(V/m). The Nichrome...
  37. Z

    QM: commutator 2D particle magnetic field

    Homework Statement I was reading this textbook: https://books.google.com/books?id=sHJRFHz1rYsC&lpg=PA317&ots=RpEYQhecTX&dq=orbit%20center%20operators&pg=PA310#v=onepage&q=orbit%20center%20operators&f=false Homework Equations In the equation of the page (unlabeled), we have $$...
  38. C

    Wire with current and field problem

    Homework Statement An electric current is uniformly distributed throughout a long, straight wire that has a diameter of 0.05m. If the current through the wire is 6.0A, calculate the magnitude of the magnetic field: a). 0.02m radially away from the wire center b). 0.05m radially away from the...
  39. JasonHathaway

    Electromagnetics: Moving loop in a static magnetic field

    Homework Statement A conducting square loop (L × L) moving with velocity vo ay m/s where the magnetic flux density is B=Bo ax Wb/m2 in 0 < y < 2L, and is equal to zero when 0 > y and y > L. Determine the current in the loop and plot its magnitude as a function in the loop's position in the...
  40. DrClaude

    Understanding Magnetic Field in Length Gauge

    I've having trouble understanding one of the consequences of using the length gauge. The length gauge is obtained by the gauge transformation ##\mathbf{A} \rightarrow \mathbf{A} + \nabla \chi## with ##\chi = - \mathbf{r} \cdot \mathbf{A}##. Starting from the Coulomb gauge, we have $$...
  41. C

    Question regarding current & magnetic field/force

    Homework Statement An electron moves in a straight line at a speed of 6.0 \times 10^7m/s. Calculate the magnitude and direction of the magnetic field at a position 0.005m behind the electron and 0.015m below its line of motion. Homework Equations F=qv \times B The Attempt at a Solution I'm...
  42. M

    I want to find the vector components of an MRI pixel -- How?

    I have a Dicom Image that is interpreted as an array. Each cell is a pixel. Each pixel has a value. I want to find the vector components (x,y,z) of a pixel. Specifically, I want to find magnetic field vectors for each pixel. The image is for H1 atoms. Freq = 297, B0 = 3. How would you do this...
  43. N

    Magnetic field intensity and density

    Hello folks, Can anyone explain to me what is the difference between magnetic field intensity H and magnetic field density B?
  44. J

    [Uni Physics 2] Inductance Problem

    Homework Statement Two identical long wires of radius a = 2.90 mm are parallel and carry identical currents of i = 5.00 A in opposite directions. Their center-to-center separation is W = 17.0 cm. Neglect the flux within the wires but consider the flux in the region between the wires. What is...
  45. B

    Calculating the magnitude of the electric field

    Homework Statement A uniform magnetic field pointing in the positive z-direction fills a cylindrical volume of space of radius R whose central axis is the z axis. Outside this region, there is no magnetic field. The magnitude of the magnetic field in changes with time as B = Bmax sin(ωt). a...
  46. C

    Magnetic field uniformity problem

    Homework Statement While at an engineering internship, you reminisce about the similarities between gravitational fields, electric fields, and magnetic fields. You know that two infinite sheets of opposite charge can be used to create a uniform electric field (for points between the two sheets)...
  47. E

    Electromagnetic wave incidence on interface

    Consider the problem shown in the "wave_incidence_1.png" attached image. An electro-magnetic wave is traveling towards an interface between its current medium and a new medium, which has a refractive index n_2 \neq n_1. The interface is represented by the (x,y) plane. The electric field...
  48. Anode

    Torque on a Disk in a Magnetic Field (E&M)

    Hi, I've been struggling on this homework problem for quite a few hours now and would really appreciate a pointing in the right direction. It's a fairly entertaining problem that I'm getting stuck on in several places. 1. Homework Statement The problem goes: "An erratic engineer, who lives in...
  49. D

    Magnetic field from free electrons

    Does a beam of free electrons create a magnetic field like that of a wire with current flowing through?
  50. B

    Magnetic field by moving plate capacitor ?

    1. Homework Statement A large parallel plate capacitor with uniform surface charge σ on upper plate and −σ on lower is moving with a constant speed v. Q1]Find the magnetic field between the plates and also above and below them. Homework EquationsThe Attempt at a Solution I know that above...
Back
Top