What is B field: Definition and 173 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. C

    Two parallel wires in plane. determine B field as f(x)

    Homework Statement Let two long parallel wires, a distance d apart, carry equal currents I in the same direction. One wire is a x=0 and the other is a x=d. Determine B along the x-axis between the wires as a function of X. Repeat problem if wire at x=0 is 2I and in the opposed direction...
  2. C

    Net Force on Loop in Changing Magnetic Field

    Homework Statement The figure shows a 3.00 meter by 7.00 meter rectangular loop of wire with resistivity 3.90x10-6 Ohm-m and a resistance of 25.0 Ohms. Initially, the magnetic field is zero everywhere. However, after t = 0, B increases at 1.00 T/s out of the page everywhere above the dotted...
  3. S

    Find V of a partical in B field :O

    Homework Statement A particle with a charge of 5.40nC is moving in a uniform magnetic field of B= -(1.20 )Tz^. The magnetic force on the particle is measured to be F=3.50×10−7N X^ + 7.60×10−7N Y^ . Calculate the y component of the velocity of the particle. Homework Equations...
  4. G

    Torque on a charged particle moving in a circle in a uniform B field

    Homework Statement A particle of charge q = e moves in a circle of radius = 0.44 m with speed v = 2.350×107 m/s. Treating the circular path as a current loop with constant current equal to its average current, find the maximum torque exerted on the loop by a uniform magnetic field of magnitude...
  5. S

    What is permanent magnet B field equation?

    I'm looking for an equation to calculate Tesla (B) between two permanent magnets with distance of 10mm. Magnets are located in front of each other; disk shape and intensity of each is 1.3T in its core, and 0.6T on surface, so I'm interested how to calculate the B between them in distance of...
  6. Q

    How Do Magnetic Fields Interact at Perpendicular Wire Intersections?

    Okay, this is a conceptual problem that I'm sure is easy, but is bugging me: I have two wires lying in the xy-plane. They're perpendicular, with one wire lying along the y-axis and on along the x-axis. The current in each wire points along the y and x axes, respectively. Now: What's the...
  7. T

    B Field in Semicircle Conductor

    Homework Statement Basically there is conductor shell which is in the shape of a semicircle. It extends to infinity. (Think of this as like half of a cylindrical conductor shell). The radius of this shell is A, and it carries a total current of X. The shell extends infinitely into the...
  8. T

    Radius of curvature of 1 MeV electron in 1 Tesla B field

    i need to calculate radius of curvature of 1 MeV KE electron in 1 Tesla magnetic field. r = mv / eB what is the (relativistic) speed, v, of the electron? (ans: 0.941 c ??) then i think you use p(rho) = mo. V / sqrt (1 - v^2 /c^2) = mv (ans: 7.59E-22 kg m/s) e = 1.6E-19 C B = 1...
  9. M

    H and B field at the midpoint inside of a magnet

    Homework Statement For a magnet of length l = 16 cm, cross-section .25 cm^2, and magnetization M = 7.8x10^5 A/m, estimate H and B at the midpoint.Homework Equations Unsure if any of these equations are relevant, but these are the ones that I've tried. q_m = MA B = \mu_0 M \mu_0 H = \mu_0 MThe...
  10. M

    How does increasing potential difference affect the magnetic force on electrons?

    1.Two long, straight, parallel conductors carry equal currents and are spaced 1.0 meter apart. If the current in each conductor is doubled, the magnitude o the magnetic force acting between the conductors will be 1)Doubled 4) quadrupled. I chose 2 because I used the formula is F=ILB, so if I...
  11. H

    B field created by a long straight current carrying wire.

    Hi. I have a problem regarding a lab. experiment question. Homework Statement An alternating current is made to run through a long straight wire, thus creating a time varying B field in the region surrounding the wire. A small inductor coil is then placed near the wire. The voltage...
  12. P

    Calculating Induced EMF and Current in a Moving Rod in a Magnetic Field

    Homework Statement A conducting rod AB of length d = 1.8 m makes contact with the metal rails AD and BC as shown in the diagram. The apparatus is in a uniform magnetic field of flux density 680 mWb / m2, perpendicular to the plane of the diagram. 1) Find the magnitude of the induced emf...
  13. P

    Torque on a Current Loop in a B Field

    Homework Statement A 119 cm wire carries a current of 1.5 A. The wire is formed into a circular coil and placed in a B-field of intensity 1.9 T. 1) Find the maximum torque that can act on the loop. 2) How many turns must the coil have, so that the torque is maximized? Homework...
  14. U

    If E field points up, which way does B field point?

    Ok, dumb question, I know. But it's been bugging me, and I can't find a straight answer anywhere, so here it goes: In a classical electromagnetic wave, where the electric field points upward, will the magentic field point AT me or AWAY from me? I've seen textbooks depict them both ways -...
  15. P

    How Is Terminal Velocity Calculated for a Sliding Wire in a Magnetic Field?

    Homework Statement A U-shaped conducting rail that is oriented vertically in a horizontal magnetic field. The rail has no electric resistance and does not move. A slide wire with mass m = 10 g, L = 0.45 m, and resistance R = 0.10 Ω can slide up and down without friction while maintaining...
  16. J

    Calculate the pitch of eletron cyclotron in b field.

    Homework Statement The uniform 26.0 mT magnetic field in the figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 5.50E6 and at an angle of 30 deg. above the xy-plane. The problem defines the pitch to be the distance between the...
  17. C

    B field due to infinite wire

    Homework Statement I want the force on a finite conducting wire that is perpendicular to an infinite wire. Can I do it with this: F = I_f \int{\frac{\mu_0 I_i}{2\pi r}}{dr} where I_f, I_i are the currents in the finite and infinite wires.
  18. U

    What is the Hamiltonian operator for a spin 1/2 particle in a magnetic field?

    Homework Statement Consider a spin 1/2 particle placed in a magnetic field \vec{B_0} with components: B_x = \frac{1}{\sqrt{2}} B_0 B_y = 0 B_z = \frac{1}{\sqrt{2}} B_0 a) Calculate the matrix representing, in the {| + >, | - >} basis, the operator H, the Hamiltonian of the...
  19. L

    Permanent magnet B field equation

    hey how would I go about calculating the B field of a bar magnet? I've already managed to calculate the electric field between two charged particles etc and draw that, but I just can't see where to start with this one as its not just a point at north and south but a whole load of atoms...
  20. H

    Verifying Answer to Wave Equation and Associated B Field

    Hi, I have the following question on my problem sheet, and I just want to check that my answer to it is correct as I need to use the result in a later problem. If someone could confirm it is correct, or point out mistakes/erros that would be great. ======= Q. Derive the wave equation for E...
  21. S

    B field btwn two current carrying wires

    I just had a quick thing i wanted to clarify... The question was: If u have two horizontal parallel current carrying wires 196 cm apart, with the bottom wire carrying a current of 2.2 A to the west and the top 1.1 A to the west, what is the magnetic field at the point P? Point P being the...
  22. tandoorichicken

    Is the Emf in a Coil of 100 Turns 0 When B Field Decreases from 1.0 T?

    Please tell me if this is right: A coil contains 100 turns of wire in a loop 15cm in diameter. The loop is placed between the poles of a large electromagnet B= 1.0 T, with the plane of the loop perpendicular to the field. If the magnetic field is steadily reduced from 1.0 T to 0 in 16...
  23. S

    Does E field and B field has a 90 degree phase difference in EM wave

    A simple question. I though Maxwell said that : 1. The change of electric field generates magnetic field. 2. The change of Magnetic field generates Electric field. So, simple algorithm tells me there shall be a 90 degree of phase difference between the peaks of E field and B...
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