I'm studying principle of Langmuir probe and got several questions.
1st, the textbook suddenly tells that ion density within sheath is
ni(x) = nis(Vs/V(x))1/2
where nis, Vs are ion density and plasma potential at sheath edge.
I found some document which shows that it is obtained by...
I have that ∇2∅ = 0 everywhere. ∅ is a scalar potential and must be finite everywhere.
Why is it that ∅ must be a constant?
I'm trying to understand magnetic field B in terms of the Debye potentials: B = Lψ+Lχ+∇∅. I get this from C.G.Gray, Am. J. Phys. 46 (1978) page 169. Here they found that...