consider the circuit shown below. a$)$ write the equation for Kirchhoff's Loop Rule for the left loop b$)$ Find I$2.$ c$)$ write the equation for Kirchhoff's loop rule for the right lope d$)$ Find I$3.$ V$1=10\mathrm{.}67$V$,$ V$2=8\mathrm{.}0$V$,$ R$1=1$ Q$,$ R$2=3$Q$,$ R$3=5$Q$,$ R$4=1$Q$,$ R$5=12$ Q I$1=2\mathrm{.}0$A

Rule for the left loop, b$)$ Find $\backslash (\backslash$mathrm$\{$I$\}\_\{2\}\backslash ).$ C$)$ Write the equation for Kirchotr's Loop flule tor the right

toop. d$)$ Find $\backslash (1,-2\mathrm{.}0\backslash$mathrm$\{$~A$\}\backslash ).$

$4.(19$ pts$.)$ Calculate the equivalent resistance of the circuit shown below.