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. M

    Plotting magnetic field lines between two adjacent NS poles

    This question is regarding the magnetic field lines around two abutting alternating poles. Take two axially magnetised disc magnets and place them next to each other (like tangent circles), so on each side the adjacent or neighboring magnet is of the opposite pole. By sprinkling iron filings...
  2. 1

    Finding the magnetic field of a loop at far distances

    Homework Statement Loop of current ##I## sitting in the xy plane. Current goes in counter clockwise direction as seen from positive z axis. Find: a) the magnetic dipole moment b) the approximate magnetic field at points far from the origin c) show that, for points on the z axis, your answer is...
  3. C

    Motion of an electron in a nonuniform magnetic field

    Homework Statement An electron is shot towards an infinitely long wire with high current flowing througuh it. Please, look at my "sketch" in the attachment. How will its trajectory be affected? What curve will it be? 2. The attempt at a solution I thought about circular motion, but the fact...
  4. S

    Vector potential from magnetic field

    <<Mentor note: Moved from non-homework forum>> If a uniform magnetic field ##{\bf{B}}=B_{z}{\bf{\hat{z}}}## exists in a hollow cylinder (with the top and bottom open) with a radius ##R## and axis pointing in the ##z##-direction, then the vector potential...
  5. O

    Find magnetic field at a distance from wire

    Homework Statement A wire with radius R= .01 m carries a current with uniform density. At a distance r1 =1.25m from the wire, the magnetic field has a magnitude of 2.55 μT. Calculate the magnitude of the magnetic field r2=.0065m from the wire. Homework Equations B= (μ0I)/ 2πr The Attempt at...
  6. R

    Off center hole in a current-carrying wire - magnetic field?

    Homework Statement A long copper rod 8 cm in diameter has an off-center cylindrical hole 4 cm in diameter down its full length. This conductor carries a current of 900 amps flowing in the direction “into the paper.” What is the direction, and strength in tesla, of the magnetic field at the...
  7. A

    Magnetic field around a finite wire with different diameter

    In my simulation I have a wire with a fixed current flowing, I observed if I change the diameter of the wire the magnetic field (B) in a fixed point of the space also changes, is it correct?
  8. O

    Find current given magnetic field

    Homework Statement Suppose a straight 1.90 mm diameter copper wire could just "float" horizontally in air because of the force due to the Earth's magnetic field [PLAIN]http://www.webassign.net/images/boldB.gif, which is horizontal, perpendicular to the wire, and of magnitude 4 ✕ 10-5 T. What...
  9. FelixTheWhale

    I Simulation of magnetic field

    Hello, i want to draw the vector field and see the difference between propagation of field inside the body (with permeability μ>>1) and vacuum (μ=1). For the picture above i used Ampere's law, ∇xB=J and it illustrates only situation in vacuum. How to implement a contribution for example of iron...
  10. H

    B How could we "reactivate" Mars' magnetic field?

    Teenager just curious to see possible ideas.
  11. S

    Magnetic Field produced by moving charges

    Homework Statement I have two related questions here. 1. A positive point charge is moving directly toward P. The magnetic field that the point charge produces at P is? 2. Two positive point charges move side by side in the same direction with the same velocity. What is the direction of the...
  12. N

    A Would a larger Martian moon create a stronger magnetic field

    I have read a previous forum discussing the possibility of creating a stronger magnetic field on Mars using tidal forces by putting a larger moon in orbit around Mars. My question is how large of an object would it have to be compared to Mars and how distant would its orbit need to be from the...
  13. S

    Magnetic field of moving charges

    Hi! I wonder if there was any experimental measurement of magnetic field produced by mechanically moving charges. In principle the equation is well known. (1) But is there any experimental proof of this equation? I know it can be reformulated into this. (2) My question is "Is there any...
  14. N

    Why a conductive shield doesn't block the magnetic field?

    Hi While studying the shielded wires, i noticed that the magnetic field of the inner conductor can penetrate the shield conductor (can be calculated in the region 3). However, the boundary condition of the magnetic field at the surface (between dielectric and perfect conductor) of a perfect...
  15. N

    The magnetic field within cylindrical hollow conductor

    Hi, While studying the coaxial cable, i noticed that the magnetic field of the inner conductor can pass through the hollow conductor (can be calculated in the region 3). However, the boundary condition of the magnetic field at the surface (between dielectric and perfect conductor) of a perfect...
  16. Jezza

    Magnetic field due to a spinning sphere

    Homework Statement We consider a sphere of radius R which carries a uniform surface charge density \sigma and spins with angular velocity \omega around a diameter. We use spherical coordinates (r, \theta, \phi) with origin at the centre of the sphere and the z-axis along the rotation axis...
  17. S

    Calculating magnetic force on semicircle conductor

    Homework Statement Given the figure below[/B] I need to calculate the total magnetic force on the semicircle section of the conductor. Current is I, Radius is R, and the Magnetic Field is B. Homework Equations d\vec{F} = Id\vec{l} \times \vec{B}[/B] The Attempt at a Solution [/B] dl is...
  18. G

    I have a question about force exerted by magnetic field

    Homework Statement Homework EquationsThe Attempt at a Solution I uploaded the problem which I want to solve. Getting a general expression for magnetic field created by plane is difficult, I solve it another method. X is still larger than W, we can think palne current as just a infinite wire...
  19. moenste

    EMF between the rim and centre of the disc

    Homework Statement A copper disc of radius 10 cm is situated in a uniform field of magnetic flux density 1.0 * 10-2 T with its plane perpendicular to the field. The disc is rotated about an axis through its centre parallel to the field at 3.0 * 103 rev min-1. Calculate the EMF between the rim...
  20. Aafia

    What is induced magnetic field?

    What is emf in the coil? As far as I know about emf is that it is potential difference between two terminals of a source but what if it is induced in coil by changing flux linkage. What exactly happen when emf is induced?
  21. weezy

    Calculating displacement current and magnetic field.

    1. The problem statement, A capacitor is there in free space consisting of 2 circular plates of radius ##r## separated by a distance ##z## which is a function of time. ##z(t) = z_0 + z_1 cos (\omega t)##; ##z_0(<<r)## and ##z_1(<z_0)## are constants. The separation ##z(t)## is varied in such a...
  22. FelixTheWhale

    Magnetic Field of Current loop around the Core

    Hello friends, I am trying to find how calculate the magnetic field created by current loop considering that there is a some geometry of material that can enhance the magnetic field. I thought it can be solved by multipling by permeability μ but realized that the iron core changes the picture of...
  23. K

    Equation of magnetic field produced by a solenoid

    Homework Statement For a lab we need the equation of the magnetic field strength produced by a solenoid a distance r away from it (outside of it). I tried looking online and couldn't find one that didn't involve a bunch of cross products or similar. Wonder if anyone knows the formula? I know...
  24. moenste

    Find direction of current in a magnetic field

    Homework Statement The diagram shows a uniform magnetic flux density B in the plane of the paper. Q and R mark the points where two long, straight and parallel wires carry the same current, I, in the same direction and perpendicular to the paper. The line through QR is at right angles to the...
  25. moenste

    The balance reading when direction of mag. field changes

    Homework Statement The diagram shows a rigid conducting wire loop connected to a 6.0 V battery through a 6.0 V, 3.0 W lamp. The circuit is standing on a top-pan balance. A uniform horizontal magnetic field of strength 50 mT acts at right angles to the straight top part of the conducting wire in...
  26. S

    Distance of compass to wire based on magnetic field strength

    Homework Statement As shown in Figure 1 below, a long, straight conducting wire is stretched horizontally directly above a magnetic compass, both of which are separated by distance d. When electrical current is not flowing through the wire, the compass needle points in a direction parallel with...
  27. moenste

    Magnetic field pattern in a hor. plane, wire force direction

    Homework Statement A current of 3 A flows down each of two long vertical wires, which are mounted side by side 5 cm apart. Show on a diagram the magnetic field pattern in a horizontal plane, indicating clearly the direction of the magnetic field at any point. What is the magnitude and direction...
  28. C

    Calculating Magnetic Field of Two Coils on a Common Axis

    Homework Statement Two thin coils of radius R = 3 cm are d = 13 cm apart and concentric with a common axis. Both coils contain 10 turns of wire with a conventional current of I = 3 amperes that runs counter-clockwise as viewed from the right side (see the figure). (a) What is the magnitude...
  29. hsdrop

    B The path of particles in the L.H.C. pics

    I was looking at the diagrams from the lhc of the path of particles and notice that the path of the particles always craved parabolically not traveled strat outward from the point of impact. Why does this happen explachely when the particles are traveling at near light speeds thank you ahead...
  30. M

    How electrons get deflected in magnetic field while moving?

    I don't understand why electron moves this way... e.g. A light object (crampled paper) going down until gets hit by the wind will go parallel (at least a few seconds) to the wind direction ... why not with electron?
  31. RoboNerd

    Multiple choice question on finding magnetic field

    Homework Statement E is the "right answer" Homework Equations B around a long wire = mu * I / [2 * pi * r] The Attempt at a SolutionOK. I know that the magnetic field lines will travel in a clockwise direction around the wire from the viewer's orientation with the current going away from...
  32. D

    Determine the direction of magnetic field from Maxwell eqs?

    Hi! My high school physics tells me using right hand grip rule to determine the direction of magnetic field induced by a current carrying wire, but I wonder whether I can deduce the direction merely from Maxwell's Equations? Suppose now we have a current density in cylindrical...
  33. R

    Falling loop in magnetic field

    Homework Statement This is a question regarding Problem 7.11 in Griffiths Electromagnetism book, which considers a falling square loop of aluminum through a uniform magnetic field pointing into the page with only part of the loop in the field at t=0 (see picture below). To solve this...
  34. DavideGenoa

    Magnetic field by ideal toroidal solenoid

    I am trying to calculate the magnetic field generated by an ideal toroidal solenoid by using the integral of the Biot-Savart law. I do not intend to use Ampère's circuital law. Let ##I## be the intensity of the current flowing in each of the ##N## loops of the solenoid, which I will consider an...
  35. M

    Why electrons move up if the Magnetic field is Horizontal?

    <--Why electrons move up if the Magnetic field is Horizontal? at 0:14 <-- the Magnetic field is Horizontal but the electrons are also moving horizontally...
  36. Z

    What is magnetic field made up of?

    Homework Statement A magnetic field is made up of A) positive and negative charges. B) magnetic domains. C) flux lines. D) magnetic poles. Homework EquationsThe Attempt at a Solution I thought magnetic field is made up of.. nothing ? Or does it mean 'What does magnetic field produced...
  37. Z

    What does magnetic field is made up of?

    Homework Statement A magnetic field is made up of A) positive and negative charges. B) magnetic domains. C) flux lines. D) magnetic poles. Homework EquationsThe Attempt at a Solution
  38. B

    Magnetic field strength over distance

    I want to know how does distance affect the magnetic field of a permanent magnet. I have read about the inverse square law and how it could apply to magnetic fields over growing distances, but doing so, I read about monopoles, which is a new concept to me. So, for the time being, I would like a...
  39. B

    A charged particle entering a magnetic field at an angle -- is work done?

    Hello PF's members I know a magnetic field doesn't work on charged particles if magnetic field being perpendicular to the velocity of the particles. also i know magnetic field doesn't work if a charged particle enters with right angle into the field. But suppose that a charged particle like...
  40. S

    Time-Varying Electric Field in Parallel Plate Capacitor

    Hi, A time-varying (sinusoidal) voltage source is applied to a parallel plate capacitor of length d. Then the E field will vary according to E(t) = V(t)/d. However, this suggests that, for any given time, the E field is constant with respect to spatial coordinates. Therefore, the curl of E is...
  41. A

    Moving a loop within a changing magnetic field

    Hello, Short description: In my country's physics olympics, if a loop of wire is moved in a changing magnetic field, the time derivative of the area (while calculating emf with lenz law) is the velocity of the loop (as if we're taking the time derivative of the AREA SWEPT). This has became an...
  42. Deebu R

    Torque in uniform magnetic field

    how can a rectangular coil placed in uniform magnetic field have torque? Isn't torque the force on an object while its rotating? Will the coil rotate in a magnetic field? I don't understand.
  43. A

    Magnetic field due to a current carrying loop

    Homework Statement The actual question was to somehow derive the expression for a magnetic field at the center of a current carrying loop. Homework Equations The Biot-Savart's law equation dB = (mu/4π)*(i dl x r)/r^3 (I'm not actually good at typing in the equations, so please just forgive...
  44. P

    Narrow external magnetic field poking through a disk magnet

    Let's say I have a disk magnet that is a centimeter thick and 1 meter in diameter. Now let's apply an external field confined to a cylinder of arbitrary position, angle, and length. Let's say it has a diameter of << 1 meter, so very, very narrow. Let's presume that the external field lines are...
  45. K

    B Can a Magnetic Field Affect the Path of a Photon?

    Electrons have spin 1/2 and interact with a magnetic field. Since photons have spin 1, I suppose they also feels a force on a magnetic field. So that means that light can be deviated from its original path by a magnetic field?
  46. Biker

    Faraday-Lenz Law: Self-Induction in Magnetic Fields

    A varying magnetic flux causes an induced voltage (according to Faraday-Lenz law) that generates a current that generates a magnetic field that generates another magnetic flux in the same circuit. Does the Faraday-Lenz law include this self induction? Or are they giving us a simplification in...
  47. Milind Chakraborty

    A Charged Particle moving in Uniform Magnetic Field

    Homework Statement Problem given in the image attached. Uniform Magnetic Field : B Positive Charge : q Uniform Velocity : v Mass : m Charged particle enters the magnetic field making an angle θ with the plane perpendicular to the magnetic field. Width of the region of Magnetic field : d d <...
  48. GhostLoveScore

    Does a conductor create magnetic field when moving?

    Magnetic field is created when electrons move in the conductor, as far as I know. In the electric circuit electrons move with a speed of few mm/s when the circuit is closed. So, if I took a piece of wire and moved it, would it generate magnetic field? I suspect not, but I am wondering what is...
  49. 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}...
  50. 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...
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