$($a$)$ A stationary charged particle at the origin creates an electric flux of $478$ N $$ m$2/$C through any closed surface surrounding the charge. Find the electric field it creates in the empty space around it as a function of radial distance r away from the particle.

$($b$)$ A small source at the origin emits an electromagnetic wave with a single frequency into vacuum, equally in all directions, with power $26\mathrm{.}9$ W$.$ Find the electric field amplitude as a function of radial distance away from the source. $($Use the following as necessary: r$.)$