Answer to Question #193666 in Electricity and Magnetism for laura

Question

find the divergence of of the field given by a=1/r in spherical coordinate q

Answer 1

$\nabla\vec A=\frac{1}{r^2}\frac{\partial(r^2A_r)}{\partial r}+\frac{1}{r\sin\theta}\frac{\partial}{\partial\theta}(A_\theta\sin\theta)+\frac{1}{r\sin\theta}\frac{\partial A_\varphi}{\partial\varphi} =\frac{1}{r}$