Problem $5\mathrm{.}33$ After having been in position $1$ for a long time, the switch in the

circuit of Fig. P$5\mathrm{.}33$ was moved to position $2$ at t$=0.$ Given that V$\_(0)=12$V$,$

R$\_(1)=30$k$\backslash$Omega $,$R$\_(2)=120$k$\backslash$Omega $,$R$\_(3)=60$k$\backslash$Omega $,$ and C$=100\backslash$mu F$,$ determine:

$($a$)$ i$\_($C$)(0^(-))$and v$\_($C$)(0^(-))$

$($b$)$ i$\_($C$)(0)$ and v$\_($C$)(0)$

$($c$)$ i$\_($C$)(\backslash$infty $)$ and v$\_($C$)(\backslash$infty $)$

$($d$)$ v$\_($C$)($t$)$ for t$>=0$

$($e$)$ i$\_($C$)($t$)$ for t$>=0$

Figure PS$\mathrm{.}55$ Circuit tor Problem $5\mathrm{.}55.$