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Imagine a ball heated to a temperature T. This Ball emits thermions with a current density...

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Electrical Engineering

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

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