chp33_4 - PHY2061 R. D. Field Ampere's Law Gauss' Law for...

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PHY2061 R. D. Field Department of Physics chp33_4.doc Univesity of Florida Ampere’s Law Gauss’ Law for Magnetism: The net magnetic flux emanating from a closed surface S is proportional to the amount of magnetic charge enclosed by the surface as follows: Φ B S enclosed Magnetic BdA Q =⋅ rr . However, there are no magnetic charges ( no magnetic monopoles ) so the net magnetic flux emanating from a closed surface S is always zero, Φ B S BdA = 0 which implies 0 = B r r Ampere’s Law: The line integral of the magnetic field around a closed loop ( circle ) of radius r around a current carrying wire is given by Bd l r Br k I I Loop ⋅= = = r 24
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