A solid insulating cylinder of radius A is surrounded by a hollow, concentric conducting cylinder of inner radius A and outer radius B. The solid cylinder has a non-uniform charge density given by
\(\rho(r)= (\alpha/r) + \beta r\)
where %u03B1 and %u03B2 are constants. The conducting shell is uncharged.
a. What is the total charge on the solid cylinder?
b. What is the electric field everywhere (r < A, A < r < B, and r > B)?