Q$4.1+5\mathrm{.}00\backslash$mu C uniformly distributed over its outer surface.

The outer sphere is a conducting shell that carries a net charge of $-8\mathrm{.}00\backslash$mu C$.$ No other charges are

present. The radii shown in the figure have the values R$\_(1)=10\mathrm{.}0$cm$,$R$\_(2)=20\mathrm{.}0$cm$,$ and R$\_(3)=$

$30\mathrm{.}0$cm$.($k$=8\mathrm{.}99\backslash$times $10^(9)($N$)*($m$^(2))/($C$\_(2)))$

$($a$)$ Find the total excess charge on the inner and outer surfaces of the conducting sphere.

$($b$)$ Find the magnitude and direction of the electric field at the following distances r from the

center of the inner sphere: $($i$)$ r$=9\mathrm{.}5$cm$,($ii$)$ r$=15\mathrm{.}0$cm$,($iii$)$ r$=27\mathrm{.}0$cm$,($iv$)$ r$=35\mathrm{.}0$cm$.$