Q$1$:

For the circuit shown in Fig. $1,$

a$)$ Use node voltage method to calculate $\backslash ($ i$\_\{$o$\}\backslash )$ and $\backslash ($ v$\_\{$o$\}\backslash )[10].$

b$)$ Calculate the current in each branch $[5].$

c$)$ Show that the magnitude of the total power generated equals to the total power absorbed $[5].$

Fig. $1$