Unformatted text preview: not zero (Ampere’s lawMonday), but it is Gauss’s law that tells us that the divergence of B is zero, . = ⋅ ∇ B Show the vector identity ) ( = × ∇ ⋅ ∇ A and hence conclude that B can be written as the curl of a magnetic vector potential . ), ( A B where r A × ∇ = The physical significance of this magnetic vector potential is not as straightforward to understand as the electric scalar potential, but you will see this again in more advanced E&M courses so it helps to be aware of this concept....
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 Fall '07
 Evrard
 Vector Calculus, Electrostatics, Magnetic Field, Ampere, magnetic vector potential

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