Homework Statement
Consider the following in cylindrical coordinates \rho,\varphi,z. An electric current flows in an infinitely long straight cylindrical wire with the radius R. The magnetic field \mathbf{B} outside of the thread is...
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...