B-field Definition and 106 Threads

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

    4 sides of the wire can produce a B-field

    http://upload.lsforum.net/users/public/m28175Untitledw43.jpg Q 21 why the is not downward?? it gains weight! Q22 why the direction is not out of paper, by right hand grip rule, 4 sides of the wire can produce a B-field which is out of paper!?
  2. A

    B-field at point P that is produced by the current in two wires

    1. The figure shows an end view of two long, parallel wires perpendicular to the xy-plane, each carrying a current I=5.00A but in opposite directions. What is the magnitude and direction of the B-field at point P that is produced by the current in the two wires? 2. B=(μo/4pi) integral...
  3. S

    Velocity(t), of rod moving in B-field

    Here's the question ------------------- Here's my attempt using energy approach. However, I'm kinda stuck. how do I solve this DE to get the expression for v(t)?
  4. M

    Finding B-field from Zeeman effect pattern

    Hey I have this problem Homework Statement A source which emits a line at 500nm is found to exhibit the normal Zeeman effect when placed in a magnetic field. Calculate the magnetic field given that the separation of adjacent components in the Zeeman pattern is 12.0pm...
  5. J

    Finding B-Field Of Solenoid Slightly Off Axis?

    If you have a solenoid positioned along the z axis... ...how would one find the b-field at slight deviations of x and y? I have been googling for hours and can't find anything other than the fact that it is very difficult! Thanks guys!
  6. H

    Solving coupled differential equations for spin-1/2 in a B-field

    Homework Statement (Sorry, I don't know how to use latex) Solve the TDSE for a spin half nucleus in a B-field where B_z = B0, B_y= B1 cos(ωt) and B_x = B1 sin(ωt). Use vector and matrix representation. You will get coupled differential equations for a and b, look for solutions of the form a =...
  7. M

    What is the Electromotive Force Induced in a Moving Coil in a B-field?

    Homework Statement A 25-turn coil has a radius of 1 cm and it is carrying a current of 1 A. The coil is in a constant B-field of 1 T (directed along the coil's axis). The coil is moving perpendicularly to the B-field at a speed of 1 m/s. a) Is there an Electromotive force induced in the...
  8. T

    Can the magnetic field from a single charge be converted into an electric field?

    Consider the following "classical" example: ^{}_{} A system Σ' moves away from a system Σ with relative velocity v in the direction of z'z axis (their origins concur at time t=t'=0). A charge q is located in the origin of Σ' and moves along with it, while an observer sits at (0,yo,0) in Σ. The...
  9. A

    Rotating Square Loop in Constant B-field

    [SOLVED] Rotating Square Loop in Constant B-field Homework Statement Homework Equations \epsilon = - \frac{d\Phi}{dt} \Phi = BAcos(\theta) = BAcos(\omegat) d\Phi = -BA\omegasin(\omegat) The Attempt at a Solution I'm trying to study for an exam and I've got this practice...
  10. N

    Can Mu-Metal Reflect Magnetic Fields?

    Hi I have a question regarding mu-metal, which I haven't beem able to find the answer to online. Say I have a current loop placed enclosed in a cylindrical magnetic shield made of mu-metal as shown in the attachment (red loop is the current loop). The shielding will prevent any B-field to...
  11. N

    Electromagnetism: Direction of B-field

    Homework Statement Hi I have a current loop (see attached), and I have found the expression for the B-field along the axis of the loop. A particle moves through the loop, as also shown in the attached picture. Using the right hand, I let current run through the loop counter-clockwise, shown as...
  12. W

    Induced current in conductor moving circularly in constant B-field

    Homework Statement A light bulb with resistance R is attached on a metal rod which is rotating around the point O on the figure. The metal rod is in contact with an electrical conductor which is a part of a circle with radius d. The metal rod and the circular electrical conductor is a closed...
  13. S

    Sliding conductor on a metal rail, with perpendicular B-field

    Homework Statement In the following diagram, the brown metallic conductor rod is given a slight push to the left. The black lines are all conducting wires, with the entire setup placed in a perpendicular B-field. Ignore friction. What will happen? 1) The rod slowly come to a stop? 2) The rod...
  14. B

    Maxwell's Equations: B-field induced from changing E-field

    Homework Statement Parallel plate capacitor with circular plates with radius of 26mm and a plate separation of 6mm. A sinusiodal potential difference is applied across the capacitors plates with Vmax = 170V at a frequency of 60Hz. 170sin(2*pi*60Hz*t) Homework Equations V = ∫E∙dl = El (l...
  15. F

    B-field question Lorentz's force

    Homework Statement http://img834.imageshack.us/img834/5598/46421047.th.png Uploaded with ImageShack.usThe Attempt at a Solution I think this problem is deeper than it looks. Here is my FBD http://img291.imageshack.us/img291/69/31024385.th.png Uploaded with ImageShack.us So I am assuming...
  16. H

    Angle between B-Field and X-axis

    Homework Statement Two long horizontal straight parallel wires are 3.18 cm apart and each carries a current of 9.25 A in the directions shown in the above figure. What is the magnitude of the B-field at point P, which is at a perpendicular distance of 2.25 cm from both wires? Homework...
  17. B

    Calculating Distance for Hall Effect Sensor Activation

    I have what I thought should be a relatively simple problem, but a quick trip around the Google makes me wonder. It might be easier to just ask some real humans for once... I'm working with Hall Effect sensors and neodymium (NIB) magnets. I basically know the strength of my magnets, and the...
  18. Q

    Plasma physics - single particle in time-varying B-field

    It's an intro plasma physics course, and already starting to get to me... I'm asked to derive an expression for the drift velocity of a particle in a constant uniform E-field, and a slowly time-varying B-field. I've looked at a few books to see if I can even find the final result, so I...
  19. C

    Z for classical particles in B-field

    Homework Statement Show that the free energy of classical particles with no internal magnetic moment is always independent of magnetic field. Hint: Write down Z for N classical particles. Let the particles interact by U which depends only on the positions of the interacting particles. Show...
  20. N

    Does an EM wave bend in a B-field?

    I read somewhere that Thomson (1897) concluded that the electron was not an EM wave because it bended in a magnetic field and that it had been proven that EM waves did not do this. Is this true?
  21. M

    How Do You Calculate E-Field and B-Field of a 10W Laser?

    1.Calculate the average E-Field and B-field produced by a laser with power 10W and radius 1mm 2.Not sure where to start with this one. Use equations of Flux perhaps? 3. So given the modest amount of infomation and the fact the question represents 1 mark, i assume the calculation is straight...
  22. Pengwuino

    How to Evaluate the Magnetic Field Using Jefimenko's Equations?

    I'm looking to evaluate the magnetic field using Jefimenko's equations. There is two parts to it but I'm just looking at the first. The approximation is r>>r' where r' is localized about the origin. The Jefimenko's equation for the magnetic field (the first term that I'm having trouble with)...
  23. T

    Why do the E-field and B-field have different units?

    Note this is more of a coursework theory question then a specific homework question. I am learning about E and B fields and electromagnetic waves. A common EM figure I find is the propagation of a photon where the E and B field propagate through space as seen in the following link...
  24. H

    B-Field between two ribbons problem

    Homework Statement Find the B-field between two ribbons with the current flowing in opposite directions on each. Homework Equations Biot-Savart equation The Attempt at a Solution In attempting to solve this I have found the B-field due to an infinite wire is B=...
  25. C

    B-Field at a Perpendicular Distance

    Two long horizontal straight parallel wires are 28.28 cm apart and each carries a current of 2.2 A in the same direction, namely, due south. What is the B-field at a point that is a perpendicular distance of 23 cm from both wires? Answer in microtesla. B= (u0*I)/(2Pi*r) u0= 4Pi*10^-7=...
  26. 0

    I am looking for the B-field of a real coil.

    I am looking for the B-field of a real coil. So a straight piece of pipe with some current density. Is it correct that there is no analytical solution to this? It would be enough if I had the field of a current rotating in a cylinder obviously. I am working on some Biot-Savart but either I...
  27. X

    B-field Component of Electromagnetic Wave After Change in Time

    Homework Statement What is the y component of the magnetic field at point O at time 0.227*E-16 s? Given: Frequency: 2.20*E16 Hz Max value of B-field: 4.00*E-8T when t = 0 at point O Homework Equations I think the following two equations could potentially be applied to the problem: B =...
  28. S

    What Does the Gravitomagnetic B-Field Describe and What Are Its Units?

    Does the gravitomagnetic B-field (from the GEM equations) have units of frequency (1/s)? And if so, what exactly does the B field describe? I guess what I'm really trying to find out is whether the B field around say a rotating spherical object describes the rate of frame dragging, or does...
  29. R

    Find B-Field from E-Field: Correct Answer Revealed

    Homework Statement E = 20 cos(\omegat-50x) \widehat{y} find H in free space? Homework Equations I used (\nabla X E ) = -dB/dt , and then integrated that expression with respect to t , for some reason I am getting an incorrect answer ?! The Attempt at a Solution the correct answer is H =...
  30. S

    What B-field is required so that the protons are not deflected?

    Homework Statement A proton that is accelerated from rest through a potential of 20.0 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below. http://capa-new.colorado.edu/msuphysicslib/Graphics/Gtype61/prob09_velfilter.gif The E-field...
  31. P

    E&M Current Carrying Loop in B-field.

    Homework Statement Suppose that the magnetic field in some region has the form B=kz\hat{x} (k constant). Find the force on a square loop (side a) , lying in the yz plane and centered at origin if it carries current I flowing counterclockwise, when you look down the x-axis. Homework...
  32. H

    Energy of a single-domain particle in a B-field

    Homework Statement As seen here, http://homes.nano.aau.dk/ld/EOM15.pdf (last page): "Now a 1-domain paricle is placed in a magnetic field B in the z direction. The magnetization M of the particle points in a direction with an angle θ to the z-axis. The particle has volume V. Homework...
  33. J

    Force on a Particle in a B-field

    a.) What happens to the force on a particle in a b field if the angle between velocity and the b field is 90 degrees? b.) and 0 degrees?
  34. M

    Finding the B-field at a point outside ring of current IN Plane of ring

    Homework Statement Determine the B field at a point P with distance d from centre of current ring radius r (d>r ie outside ring of current) but IN the Plane of ring (i.e off the axis) Homework Equations Biot savart: db=(u.I/4pi.r^2).dl.sinx u=mu, I=current, x=angle made with...
  35. L

    E-field from Time Varying B-field of Current Loop

    I am trying to calculate the E-field from a varying B-field. The B-field is from a current loop. \vec{B}(\vec{r},t)=\vec{B_{0}}(\vec{r})Sin(\omega t) where \vec{B_{0}}= http://www.netdenizen.com/emagnet/offaxis/iloopoffaxis.htm" Now since B is varying with time there should be an electric...
  36. S

    B-field of ideal cylindrical solenoid, using Biot-Savart.

    Homework Statement Consider an ideal cylindrical solenoid of length L and radius a=L/2 on which a thin wire has been wrapped a total of N turns. A steady current I flows through the wire. Assume the wires are wound so tightly that the solenoid can be thought of as a collection of N parallel...
  37. O

    Calculating/estimating Eddy currents due to B-field

    Its been 15+ years since I have done any calcs like this and am very rusty, so even just a pointer in the right direction would be really appreciated... I need to calculate/estimate the magnitude/value (IF any!) of eddy currents that would/could be generated in an ultra high speed rotating...
  38. W

    Finding Total B-Field and Direction in a Wire-Magnet System

    Homework Statement A long, straight wire lies along the y-axis and carries a current I = 8.00 A in the -y-direction . In addition to the magnetic field due to the current in the wire, a uniform magnetic field with magnitude is in the +x-direction. What is the magnitude of the total...
  39. L

    Eigenstates, Charged Particle/Bead on a Loop in B-Field

    Problem A one dimensional particle of mass m and charge q moves on a circle of radius R. A magnetic field pierces the circle. The total magnetic flux through the circle is \Phi = B \pi R^{2}. Determine the ground state energy E_{0} (\Phi) and show that it is periodic with period \Phi_{0} =...
  40. W

    How can the charge of an ion be determined using the equation F = qv x B?

    Homework Statement The problem can be found here; http://www.physics.uprm.edu/~mark/courses/FISI3172_I2007/PracticeExamIII.pdf Homework Equations Ok, ok. I made some reaserch, and I found that the; radius of an ion orbit on a mass spectrometer = mv / qB where m = mass, v =...
  41. Y

    Imperfectly conducting sphere spinning in a homogeneous B-field

    Homework Statement Link to assignment The fact that it is imperfectly conducting is supplied so that the charges in the sphere will move with the same angular velocity. The B-field induced by the moving charges will be disregarded. Homework Equations...
  42. B

    Find Speed of Particles in B-Field

    given is: http://img340.imageshack.us/img340/6684/oplosqa0.jpg So if you have a question with a B-field you need any speed given from the particles who entering in this field. Who can I find this speed? Thanks.
  43. P

    Equation for magnetic moment, E-field and B-field

    Hi! When a charge/current moves in a closed loop, a magnetic moment is generated. Is there any formula for connecting the magnetic moment to E-field and B-field? Patrick
  44. V

    Spin 1/2 in B-field polarization direction?

    spin 1/2 in B-field polarization direction?? Homework Statement A spin 1/2 particle with magnetic momnet mu=mnot*sigma is placed in uniform B-field, where the magnetic field is pointing in (theta,phi) direction in spherical coordinates At t=0, the particle is in the (1 0) state...
  45. S

    Magnetic alignment in a strong B-field

    Homework Statement The question is on the behavior of the magnetic and spin axes in a strong B-field (the Paschen-Back Effect, I believe it's called. Anyway...). I've got almost everything nailed down, except for one thing. In the example I've looked up...
  46. C

    Calculating Permeability of Free Space with Ampere's Law: B-Field Lab Help

    Hello all, Im trying to do this magnetic field lab and am having trouble with the very last question. It goes: "Assuming the equation (Ampere's Law: B=unI) applies for the solenoid, calculate the value and uncertainty of u (permeability of free space) using the graph of B vs. n. In this...
  47. C

    Calculate Current in B-Field Loop @t=8s

    A circular loop with radius a = 0.25 m and N = 17 turns lies in the plane of the page (x-y plane). The wire used in constructing the loop has a resistance per unit length of dR/dl = 0.11 W/m. A spatially uniform magnetic field points in the -z direction (into the page). In the interval...
  48. C

    What is the maximum B-field in the iron core?

    A student wishes to light a lamp rated 12V, yet he has only a 2V rms a.c supply with variable frequency. So he attempts to step up the voltage by means of a transformer. Given Ns:Np = 6:1, resistance in the primary circuit is 70 ohm, inductance of primary coil is 0.3H, frequency f is 50Hz a.)...
  49. L

    B-Field Phase: AC Voltage vs. AC Current

    Imagine I take a pair of helmholtz coils and apply a DC current, modulated by a much smaller AC current so that the B-field between the coils varies sinusoidally about some fixed value. Will the AC component of B be in phase with the AC voltage, or the AC current?
  50. A

    Average Induced EMF in Loop of Wire Rotated in B-Field

    A 7.2 cm diameter loop of wire is initially oriented perpendicular to a 1.3 T magnetic field. It is rotated so that its plane is parallel to the field direction in .20 s. What is the average induced emf in the loop? A = πr2 A = π*.001 = .004 m ФB = BA = (1.3T)(.004m) = 5.2E-3 Wb...
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