Q $2$: Problem statement: The following circuit network connects two types of DC sources. Among them two are voltage sources and another is a current source. Consider the value of $\backslash (\backslash$mathbf$\{$E$\}\backslash )$ is $\backslash (\backslash$mathrm$\{$ZZ$\}\backslash$mathrm$\{$V$\},\backslash$mathbf$\{$R$\}\_\{\backslash$mathbf$\{1\}\}\backslash )$ is $\backslash (\backslash$mathrm$\{$XX$\}\backslash$Omega $\backslash )$ and $\backslash (\backslash$mathbf$\{$R$\}\_\{\backslash$mathbf$\{2\}\}\backslash )$ is $\backslash (\backslash$mathrm$\{$YY$\}\backslash$Omega $\backslash )($Any value comes $\text{'}00\text{'}$ need to consider $\text{'}66\text{'}).$ Here, $\backslash (\backslash$mathrm$\{$YY$\}=23,\backslash$mathrm$\{$ZZ$\}=54,\backslash$mathrm$\{$XX$\}=59\backslash )$

Figure $2$: The circuit diagram for Question No$.2$

$($a$)$ Applying the Thevenin theorem for the network external to the resistor $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$L$\}\}\backslash )$ :

i$)$ Determine the Thevenin equivalent voltage and resistance $($full calculation$)$

ii$)$ Illustrate the Thevenin equivalent circuit for the network

$($b$)$ Applying the Norton theorem for the network external to the resistor $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$L$\}\}\backslash )$ :

i$)$ Determine the Norton equivalent current and resistance $($full calculation$)$

ii$)$ Illustrate the Norton equivalent circuit for the network

$($c$)$ Applying the Maximum Power Transfer theorem for the network external to the resistor $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$L$\}\}\backslash )$ :

i$)$ Calculate the value of load resistance $\backslash ($ R$\_\{$L$\}\backslash )$ to receive the maximum power

ii$)$ Determine the maximum power to $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$L$\}\}\backslash )($for both theorems$)$