On an identity for the volume integral of the square of a vector field
A proof is given of the vector identity proposed by Gubarev, Stodolsky and Zakarov that relates the volume integral of the square of a 3-vector field to non-local integrals of the curl and divergence of the field. The identity is applied to the case of the magnetic vector potential and magnetic field of a rotating charged shell. The latter provides a straightforward exercise in the use of the addition theorem of spherical harmonics.
|Collections||ANU Research Publications|
|Source:||American Journal of Physics|
|01_Stewart_On_an_identity_for_the_volume_2007.pdf||76.75 kB||Adobe PDF|
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