In: Electrical Engineering
Imagine a ball heated to a temperature T. This Ball
emits thermions with a current density at the surface given by C ,
which is proportional to AG(Richardson's constant) and proportional
to W(Work function) .
a) Using charge conservation,find the current density at any
distance 'r' from center.
b) Using continuity equation, find the charge density p(r,t) at
time 't' ; t > 0 and it is given that p(r,t=0) = 0.
c) By solving Maxwell's equations, also find the electric and
magnetic field vectors .