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. E

    How Does a Positron's Kinetic Energy Change with Magnetic Field Strength?

    Homework Statement A positron moves in a circular path of radius R due to a uniform magnetic field of strength B applied perpendicular to the plane of the circle. If B is varied, which of the following best represents a graph of the kinetic energy of the positron as a function of B so that the...
  2. EddieP

    Estimating magnetic field based on pull force

    I am trying estimate the approximate value in gauss of the magnetic field of a magnet I have based on its pull force, and I am wondering if anyone can comment on the validity of my method. I have tested the pull force of my magnet by weighing the heaviest object it can hold. I have also found...
  3. S

    Magnetic field change for induced current

    Homework Statement A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 10 cm formed from wire of diameter 2.5 mm and resistivity 8.5×10-8 Ω·m. At what rate must the magnitude of the magnetic field change to induce a 10 A current in the loop? Homework Equations...
  4. Adeel Ahmad

    Magnetic Field in a Semi-Infinite Wire

    Homework Statement Homework Equations B = μi / 4πR is the equation for a semi-infinite straight wire The Attempt at a Solution I know that for each situation in a,b, and c I would use the equation I listed above, but I am not sure what I would plug in for R for each situation.
  5. S

    Magnetic field outside of a solenoid conceptual

    How come the magnetic field outside a solenoid is practically zero? I've read reasons along the lines of: -The magnetic field cancels out on the outside. Of course the net force cancels out, but what if you have an object placed on just one spot? The force on that object clearly is not 0...
  6. S

    Magnetic field strength for circular loop

    When deriving the magnetic field strength due to a circular loop at some distance away from it's center (using Biot-Savart's law), why is the angle between ds and r 90 degrees? This is a youtube video with the derivation, see 5:55
  7. V

    Two movable wires in Magnetic Field

    Homework Statement Homework Equations EMF induced in a moving wire =Bvl The Attempt at a Solution When right wire is given a velocity v , an initial emf Bvl is induced in right wire due to which current starts flowing in the loop . Initial current i = Bvl/(2R) The left wire experiences a...
  8. I

    A Lagrangian of a monopole (Einstein notation is used)

    Hi everyone, I am trying to calculate the equation of motion of a charged particle in the field of a monopole. The magnetic field of a monopole of strength g is given by: \textbf{B} = g \frac{\textbf{r}}{r^3} And the Lagrangian by: \mathcal{L} = \frac{m\dot{\textbf{r}}^2}{2} +...
  9. A

    Where does the magnetic field go for the electron?

    Homework Statement **Question** Is the magnetic field directed into the page or out of the page?Homework Equations Right Hand Rule The Attempt at a Solution My index finger is pointing downwards, and since the magnetic force is towards the right and this is an electron (negative) my thumb...
  10. A

    Current in a solenoid (conceptual)

    Homework Statement There is a simple set up with a cylindrical solenoid that is connected to a battery. Suppose the solenoid has a total resistance of 0.2 ohms. If the battery were attached to a regular resistor of R=0.2 ohms instead of a solenoid, the current in the circuit would...
  11. UMath1

    Solenoid Magnetic Field calculation

    I am confused about how the magnetic field of a solenoid is calculated in this image. Why is only the current going into the page included in calculating the magnetic field? Shouldn't the field be twice the amount calculated because there is a magnetic field generated by the part of the turns...
  12. A

    B Magnetic field at relativistic speed

    I am trying to understand magnetism and its relation to electricity: Suppose there are two electrons traveling side by side in deep space at 1 cm distance at .99 c In this article http://academic.mu.edu/phys/matthysd/web004/l0220.htm it is said that the ratio $F_B/F_E$ is $v^2/c^2$ for v <<...
  13. D

    Magnetic field on charged cloud

    An electron beam can be curved into a loop using a magnetic field with flux lines at right angles to the electron beam. These electrons have a high kinetic energy leaving the electron gun. My question is how would a magnetic field effect motionless charged particles for example a cloud of...
  14. ZX.Liang

    B Does a magnetic field accompany Jupiter's Great Red Spot?

    If yes, could you please give me a reference documentation? I am an astrophysical amateur. We have published a paper on the frozen-in field lines concept (http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0136936), and are trying to explain the origin of the magnetic field of the...
  15. W

    Non-Solar Power Station in Space

    I have read about Japan's solar power plant in space. Would it not be easier to build a plant similar to the huge circular spinning space stations you see in movies that create their own gravity/downward force? Once something that large is spinning in space could you not use the motion to...
  16. R

    Calculating Magnetic Field at a Point Near a Long Wire

    Homework Statement Calculate the magnitude of the magnetic field at a point 100cm from a long, thin conductor carrying a current of 1A. Homework Equations B = ui/2pi(a) The Attempt at a Solution My question is why is this modeled after a problem with an infinite wire? When I first read it I...
  17. H

    What Causes Charged Particles to Spiral in a Magnetic Field?

    Homework Statement Hi! How does a charged particle spiral around a magnetic field lines? Is it because the overal magnetic field interracts with the individual magnetic field of the particle? For example if a piece of metal is put inside magnetic field, the electrons will interract with the...
  18. H

    Acceleration of a Particle Due to Magnetic Field

    Homework Statement A particle (mass = 2.0 mg, charge = -6.0 μC) moves in the positive direction along the x-axis with a velocity of 3.0 km/s. It enters a magnetic field of (2i + 3j + 4k) mT. What is the acceleration of the particle in component form? Homework Equations F = q(vXB) F = ma The...
  19. P

    Magnetic Field Induced Current

    Homework Statement A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 18 cm formed from wire of diameter5.0 mm and resistivity 1.69 ✕ 10−8 Ω · m. At what rate must the magnitude of change to induce a 10 A current in the loop Homework Equations Φ = ∫ B ⋅ dA...
  20. B

    Determine voltage from a conductor in magnetic field

    Hi, I would like to know how to get the potential difference due to a constant local magnetic field acting on a wire moving at a constant speed perpendicular to the field. What is the link between F = q v ∧ B and the actual difference of potential in the circuit ? How to determine the induced...
  21. K

    Charged particles moving through a magnetic field

    Homework Statement A collection of charged particles move through a magnetic field at an angle to the field lines. Calculate the velocity of the particle if it is an electron moving at 30 degrees to the magnetic field of strength 3.4mT, causing it to experience a force of 4.7x106-18N Homework...
  22. E

    The magnetic field induced by a current loop

    A square loop of wire in the x-y plane, centred on the origin, is made up of four straight segments, each of length 2d=10cm. A current I =10A flows in the wire in the direction shown. Find the magnetic field at z=d on the z-axis. (See "Diagram" for the diagram of the problem) Here is the...
  23. M

    Magnetic Field of a current distribution

    Homework Statement A magnetic lens is made by placing four long, thin current carrying conducting sheets of width ##2a## on the sides of a square, as shown in the figure. The currents in the conducting sheets are distributed uniformly over the sheets, and are directed either into or out of the...
  24. Silverado

    How Can I Use Magnetic Field Protractor to Solve for Magnetic Flux?

    Homework Statement [/B] Homework Equations R = ρ (l/A) I = ε/R s = rθ Magnetic flux = Integral(B ⋅ dA) The Attempt at a Solution [/B] I managed to solve parts (a) and (b) independently. Here is my work for those two parts: My real issue is with part (c) which uses the answers from (a)...
  25. S

    Homework help -- magnetic field from a wire causing compass deflection....

    Homework Statement A current 2A flows in a wire. Value of horizontal component of Earth magnetic field in the region is 2x10^-5T. Small compass placed 5cm due north of the wire. Calculate the angle through which the needle deflects due to the current flowing in the wire. Assume u0= 4pi x 10^-7...
  26. E

    I Direction of magnetic field measured by 2 coherent electrons

    According to the article: http://physicsworld.com/cws/article/news/2016/apr/07/birds-measure-magnetic-fields-using-long-lived-quantum-coherence : Is it possible simply to explain mechanism, how two coherent spins of electrons measure direction of magnetic field. I think that this explanation...
  27. T

    Skin effect and magnetic field of a flattened conductor?

    A conductor with a large high frequency AC current causes a "Skin Effect" meaning that most of the current flows at the surface of the conductor. What does the skin effect look like if you have a conductor with one side flattened? And what does the resulting magnetic field look like? See...
  28. H

    Magnetic field strenght - confusion here

    I'm not sure how magnetic field strenghts and dipoles work. I know that the strenght decreases by 1/r^3, but - isn't magnetic field strenght a constant inherent to the magnet? - if it is not constant, what is? - how is all this related to magnetic damping force?
  29. tech99

    Is the Phase of a Magnetic Field Aligned with an Alternating Current?

    I should like to ask about the magnetic field of a wire carrying an alternating current (the dimensions of the experiment are too small for radiation to be significant). If I measure the phase of the magnetic field a distance from the surface of the wire, is it still in phase with the current? I...
  30. P

    How do inductors store energy as a magnetic field?

    My last lecture that I have had, was in inductors. My professor said that they resist changes in current, because they store energy inside the inductor as a magnetic field. I know that as soon as you shut off the energy between the inductor, it starts to dissipate, slowly, until it is completely...
  31. Titan97

    Heat generated due to motion of wire in magnetic field

    Homework Statement A wire is moved with constant velocity such that the motion is perpendicular to the length of the wire in a region containing magnetic field perpendicular to the plane of motion. The wire has a resistance R. Will thermel energy be generated in the wire? Homework Equations...
  32. S

    Using right hand rule 1 to find direction of magnetic field

    [Mentor's note: Thread moved from technical sections so no template shown] So the calculations all make sense. But for example to find the direction of B2= 1.33 X 10-5T I believe you should position your right hand like this: Because your thumb should point in the direction of the current...
  33. V

    Radius and period of charge in B field

    Homework Statement A doubly charged helium atom (mass = 6.68 x 10-27 kg) is accelerated through a potential difference of 4.00x 103 V. What will be the radius of curvature of the path of the atom if it is in a uniform 0.460 T magnetic field? Note: I hope this question is meant in advanced...
  34. J

    Magnetic fields -- Is the magnetic field through the strength increasing or decreasing?

    So the main reason I'm posting about this problem is that one of the teaching assistants helped me with this problem, but a buddy of mine got something different on part A and part B (Assess). So I wanted to post up here and see what you guys say. 1. Homework Statement The loop in the...
  35. B

    A magnetic dipole in a magnetic field

    Let's say we have a north south bar magnet and we place it in a uniform magnetic field such that the magnetic moment is perpendicular to the magnetic field. What happens to the orientation of the magnet? In my view, the magnet receives a torque pointing out of/in to the page that causes the...
  36. 1

    Radius of charged particle moving in magnetic field

    Homework Statement So, I got the problem from a friend who told me he copied it down in haste, so it's possible that my confusion stems from a missing variable, but I just want to be certain as my exam is in a few days. So the problem states that there's a +2 helium atom that was accelerated by...
  37. P

    Magnetic Field Force of a proton

    Homework Statement A proton moves through a uniform magnetic field given by = (10−25.3(j-hat) + 30(k-hat))mT. At time t1, the proton has a velocity given by = vx + vy(j-hat)+ (2.0 km/s)(k-hat) and the magnetic force on the proton is B = (4.46 ✕ 10−17 N) + (1.76 ✕ 10−17 N)(j-hat). At this...
  38. K

    Cylinder wrapped with wire on hill with magnetic field

    Homework Statement The figure shows a cylinder of mass 3.5kg, radius 4.4cm and length 10.2cm with 105turns of wire wrapped around it lengthwise, so that the plane of the wire loop contains the axis of the cylinder. What is the least current which while flowing through the loop will prevent the...
  39. It's me

    How does ∇ × J = 0 relate to B = 0 in Maxwell's equations?

    Homework Statement Prove that a current density J(r, t) such that ∇ × J = 0 implies the magnetic field B = 0.Homework Equations Maxwell's equations, vector calculus The Attempt at a Solution I've played around with Maxwell's equations and with the properties of vector calculus but I can't...
  40. S

    Electromagnet magnetic field strength

    Homework Statement Homework Equations ##\oint_{C} Bd\ell = \mu I_{enc}, B_{normal}## continuous across boundary, ##H_{parallel}## continuous across boundary The Attempt at a Solution $$\oint_{C} Bd\ell = \mu I_{enc} \rightarrow B = \frac{\mu NI}{2\pi r}$$ Any help much appreciated. How...
  41. A

    Magnetic field modeling software?

    Does anyone know a good program, even a demo for modelling how magnetic fields influence each other? I'd like to run thru some exercises with actual numbers on wjhat kind of field patterns can be made by arranging magnets of same or different strength in different configurations. I should...
  42. K

    Magnetic Field Strength Calculation for Electron in Uniform Field

    Homework Statement The boundary shown is that of a uniform magnetic field directed in the positive z direction. An electron enters the magnetic field with a velocity pointing along the x-axis and exits 0.63 μs later at point A. What is the magnitude of the magnetic field? Homework Equations...
  43. Z

    Find the induction of the magnetic field at the point O

    Homework Statement In a wire passes the current I=21A. A part of the wire is bent to form three consecutive sides of a square with sides 40 cm. Find the induction of the magnetic field in the point O which is the center of the square. Homework Equations B=I*μ0*/2*pi*d The Attempt at a Solution...
  44. Z

    Find the force that the magnetic field applies on the wire

    Homework Statement Find the force that the magnetic field with B=10^-2 T applies on the wire with length 20 cm when it forms with the force the angle 30 grades when in it passes the intensity 5A. Homework Equations F=B*I(intensity)*l(length)*sin alpha The Attempt at a Solution...
  45. A

    How to Calculate Time Dependent Magnetic Field with Faraday's Law

    Homework Statement See attached photo. It has question and answers. Homework Equations Maybe integral of B.dL=Mo i ? I'm not sure The Attempt at a Solution I tried using the above equation and solved for i but it gives i with respect to time and the answer is 10A. I'm not sure how to get an...
  46. C

    Magnetic field of a ferromagnetic cylinder

    Homework Statement We have a very long ferromagnetic cylinder with square cross section, with side length a. Cylinder is homogeneosly magnetized over his volume so that the magnetization vector is parallel to the axis of cylinder. Cylinder is in vacuum. Find the current appeared in the cylinder...
  47. LaneRendell

    Is the Right-Hand Rule Applied Correctly in Determining Magnetic Forces?

    Homework Statement Homework Equations The Right-Hand Rule The Attempt at a Solution I'm having some issues with the right-hand rule to find the direction of magnetic force, and I'm doing a homework problem. The answers I got are (letters are vector directions): A: -j B: i C: j D: i E:-i...
  48. Elvis 123456789

    Magnetic Field at the center of a square loop

    Homework Statement A square wire loop 12.0 cm on each side carries a clockwise current of 15.0 A Find the magnitude of the magnetic field at its center due to the four 1.30 −mm wire segments at the midpoint of each side. Homework Equations B = (μ0*I)/(4π)*(2a)/(x√(x^2+a^2)) The Attempt at a...
  49. Elvis 123456789

    Magnetic Field at center of a Square loop

    Homework Statement A square wire loop 12.0 cm on each side carries a clockwise current of 15.0 A Find the magnitude of the magnetic field at its center due to the four 1.30 −mm wire segments at the midpoint of each side. Homework Equations B = (μ0*I)/(4π)*(2a)/(x√(x^2+a^2)) The Attempt at a...
  50. E

    Show that the equipotential lines are circles

    Homework Statement In a specific area of the space, an electrical potential is given as: \begin{equation} V(x,y,z) = A(2x^2 - 3y^2 - 3z^2) \end{equation} where A is a constant. a.) Determine the electrical field E for any given point in the area. A test charge q_0 is moved from the point...
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