R$\_(1)$ is uniformly charged with a

charge density $\backslash$rho $\_($E$).$ It is surrounded by a concentric cylindrical tube of inner radius R$\_(2)$ and

outer radius R$\_(3),$ and it too carries a uniform charge density $\backslash$rho $\_($E$).$ Determine the electric field

as a function of the distance r from the center of the cylinders for $($a$)$ r$>$R$\_(3)$R$\_(2),$ and $($d$)$ r$>$R$\_(3).$R$\_(1),$

$($c$)$ R$\_(2),$ and $($d$)$ r$>$R$\_(3)\mathrm{.}0,($b$)$ R$\_(1),$

$($c$)$ R$\_(2),$ and $($d$)$ r$>$R$\_(3).23.(1)$ How much energy is stored by the electric field between two square plates, $8\mathrm{.}0$ cm on a side, separated by a $1\mathrm{.}5$ mm air gap? The charges on the plates are equal and opposite and of magnitude $\backslash (420\backslash$mu $\backslash$mathrm$\{$C$\}\backslash ).(2)$ The magnetic field inside an air$-$filled solenoid $32\mathrm{.}0$ cm long and $2\mathrm{.}10$ cm in diameter is $0\mathrm{.}600$ T $.$ Approximately how much energy is stored in this field?