NSE 508 EM Lecture #3 2 Differential form of Ampere’s Law00CSenclSB dlB dsIJ ds•Applying Stokes’s theorem to Ampere’s Law•Because the above must hold for any surface S, we must have 0BJDifferential form of Ampere’s Law
NSE 508 EM Lecture #3 3 Divergence of B-Field •The B-field is solenoidal, i.e. the divergence of the B-field is identically equal to zero: •From gauss theorem field lines are closed. •Physically, this means that magnetic charges (monopoles) do not exist. •A magnetic charge can be viewed as an isolated magnetic pole. 0BVSdivAdVA n ds
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