Chapter 6.6, Problem 324E

For the following exercises, consider the radial fields $\text{F}=\frac{\langle x,y,z\rangle }{{(x^2+y^2+z^2)}^{\frac{p}{2}}}=\frac{\text{r}}{|\text{r}{|}^{P\text{'}}}$ , where $\text{P}$ is a real number. Let $S$ consist of spheres A and B centered at the origin with radii $0<a<b$ . The total outward flux across $S$ consists of the outward flux across the outer sphere B less the flux into S across inner sphere A.

324. Find the total flux across $S$ with $P=0$ .