$($a$)$ Draw the graf to represent the ciresit ejiven in Figure $1.(b)$ obtain the fondameotal cut set and $($c$)$ fundamental loog equstions associated with the tree branches $\{1,2,3,4\}.$

For the circuit given is Figure $2,($a$)$ calculate inctiktoce matrix from KCL$.($b$)$ express the valtapes of all two$-$terminal circuit elements in terms of the sode mologes. $($c$)$ express the curronte of all two$-$terminal circuit elements in tesms of the mest currents.

For the circuit given in Flgore $3,$ dotain the copustion to analysis the circuit using Brand Voltags method such that unkown variable is $5.$