a. Two cylinders of radius R, whose axes are at a distance a from each other,
intersect, as shown in the figure. Currents with a density of ±j flow through
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the shaded areas along the axes in opposite directions. Find the magnetic
field induction in the region lying between the shaded areas.
b. Using the result of the previous problem and applying the limit transition
method, find for a → 0, j →∞ the distribution of the linear current density
on the surface of a cylinder of radius R, which gives a homogeneous magnetic
field of induction B inside the cylinder. How is the maximum linear current
0
density related to the field induction B ?
0