If s D i C j C k and f . ; ; / is continuous on R3 and vanis
Question and Solution
If s D i C j C k and f . ; ; / is continuous on R3 and vanishes outside a bounded region, show that, for any fixed r, ZZ
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If s D i C j C k and f . ; ; / is continuous on R3 and vanishes outside a bounded region, show that, for any fixed r, ZZZ R3 jf . ; ; /j jr ? sj d d d constant: This shows that the potentials for the electric and magnetic fields corresponding to continuous charge and current densities that vanish outside bounded regions exist everywhere in R3 . Hint: Without loss of generality you can assume r D 0 and use spherical coordinates.
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