PHY2061 R. D. Field Department of Physics chp33_4.doc Univesity of Florida Ampere’s Law Gauss’ Law for Magnetism: The net magnetic fluxemanating from a closed surface Sis proportional to the amount of magnetic chargeenclosed by the surface as follows: ΦBSenclosedMagneticBdA Q=⋅∝∫rr. However, there are no magnetic charges(no magnetic monopoles) so the net magnetic fluxemanating from a closed surface Sis always zero, ΦBSBdA=∫0which implies 0=⋅∇BrrAmpere’s Law:The line integral of the magnetic field around a closed loop (circle) of radiusraround a current carrying wire is given by BdlrBrkIILoop⋅===∫r24
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