Magnetic Fields Lines - General Physics II - Lecture Notes | PHY 212, Study notes of Physics

Material Type: Notes; Class: General Physics II; Subject: Physics; University: Syracuse University; Term: Unknown 2008;

Typology: Study notes

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Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Lecture 11.

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Review of Last Lecture

Model of Magnetism:

  • Magnets• There is non magnetic monopole• Magnetic field exerts torque and force on magnets• Magnets (magnetic dipoles) creates magnetic field

moving charges

Biot-Savart Law:

Magnetic field by a straight current line:

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Magnetic Field Lines

Electric field can be represented by field lines:

charge.Field lines start from +charge, terminate at –

Field is tangent to field line everywhere

densityMagnitude of field is proportional to field line

lines:Magnetic field can also be represented by field

No magnetic monopole

must form closed loop.Hence magnetic field line can not stop. They

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Magnetic Gauss’ Law

surface.Flux: vector integral of field over a

field line piercing the surface.Flux measure the total number of

surface always vanishes.The magnetic flux through a closed

surface always vanishes.Integral of B field over a closed

  1. (Only work for static magnetic field) (monopole)that there is no magnetic chargeThis is equivalent to the statement

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Magnetic Dipoles

The magnetic dipole moment area of a current loop enclosing an A is defined as dipole moment are A mThe SI units of the magnetic 2

. The dipole ison-axis field of a magnetic

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Tactics: Evaluating line integrals

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Ampère’s law

Whenever total current I through by apasses through an area bounded closed curve, the line Ampère’s law:around the curve is given byintegral of the magnetic field

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Several Special Cases of Lorentz Force