(a)Find the divergence of the function First compute it directly, a...

(a)Find the divergence of the function

First compute it directly, as in Eq. 1.84. Test your result using the divergence theorem as in Eq. 1.85. Is there a delta function at the origin, as there was for ˆr/r 2? What is the general formula for the divergence of r n ˆr?

unless n = −2, in which case it is 4πδ3(r); for n < −2, the divergence is ill-defined at the origin. ]

(b)Find the curl of r n ˆr. Test your conclusion using Prob. 1.61b.

Reference: Eq. 1.84.

Reference: Eq. 1.85

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