3-9 b Nested Inf. Cylinders, find E-Field with Gauss's Law, Surface Charge Density

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P.3-9 Two infinitely long coaxial cylindrical surfaces, r = a and r = h (b a), carry surface charge densities Psu and Psb• respectively.
a)
b)
Determine E everywhere.
What must be the relation between a and bin order that E vanishes for r b?

Cheng, Fundamentals of Engineering Electromagnetics (1992, Prentice-Hall)
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Why do we want to use the cylindrical conversion for dS that is perpendicular to r hat?

quornnugget