$2.$ We have a central uniformly charged insulating sphere of charge q and radius $70.$ It sits within a spherical cavity of inner radius $71,$ embedded in a metal wire of outer radius $72,$ height h$>>12.$ We want to discuss how the induced charge rearranges itself across the metal as a result of the static charge. $($a$)$ Grounded case. Assume r $=0$ starts at the base of the green arrow and co is in the direction of the green arrow. Furthermore, assume h $>>$ w$.$ Draw E$($r$),$ V$($r$),$ In V $($lnr$).$ Provide an expression for E$($r$)$ at r $>$ r$2.$ E E$($r$)=?$ r V In V To $7172$ r Inr $2$