Problem $2$

$5\mathrm{.}34$A sphere of radius b $$and dielectric constant lonr $$is centered at the origin in free space. An electric field E$=$E$0$ax $$is incident from free space onto the sphere surface. E$0$is a constant. $($a$)$Find the electric field in the sphere interior and express the result in rectangular components. $($b$)$Specialize your result from part a for the case in which $=$$.($c$)$Specialize your result from part a for the case in which $=$$2.$Compare both results $($parts b $$and c$)$to the answer to Problem $5\mathrm{.}31.$