Calculate ∇ × E directly from Eq. 2.8, by the method of Sect. 2.2.2. Refer to Prob. 1.63...

Calculate ∇ × E directly from Eq. 2.8, by the method of Sect. 2.2.2. Refer to Prob. 1.63 if you get stuck.

Reference figure 2.8

Reference Prob. 1.63

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

b) Find the curl of Test your conclusion using Prob. 1.61b. [Answer:

equation 1.85