Show that the flow v around a cylinder given in eq. (29.18)

has the same functional form as the magnetic field B around a long, straight wire (3.50) and therefore Maxwell?s equations imply that ? ? v = ? ? v = 0. (The radial coordinate in the plane is denoted ? in ?3.) Then use Stoke?s theorem (B.1.5) and/or direct integration to show that the circulation around any curve that surrounds the cylinder is ?₀.

Transcribed Image Text:

2nr