2. A straight filament carries current I upwards along the symmetry axis
of a hollow cylindrical can of radius R and length L, as shown in Figure
1. The return current flows radially outward along the top flat surface,
downwards along the cylindrical surface, and radially inwards over the
bottom flat surface. Calculate B(s, 2) at every point in space, where
(s. 2) are the cylinderical coordinates. Find the surface current density
K at every point. Show that Bout Bin = Mo K x ñ, where ñ is the
unit vector pointing upwards from the top of the flat surface.
L
Figure 1:
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