Part I: Thevenin's Theorem

Objectives:

$1.$ Analyze complex networks.

$2.$ Reduce the number of components to establish the same characteristics at the output terminals R $.$

$3.$ Investigate the effect of changing a particular component on the behavior of a network without having to analyze the entire network after each change.

$4.$ Using the same reduced circuit and manipulate with the $\backslash (\backslash$underline$\{$R$\}\backslash )$ to investigate at what resistivity the maximum power is achieved.

$5.$ Using NI Multisim simulator to enhance your skills of optimized outcome.

Instrument and components

$-$ Resistors: $\backslash (\backslash$mathrm$\{$R$\}\_\{1\}=3\backslash$Omega$,\backslash$mathrm$\{$R$\}\_\{2\}=8\backslash$Omega$,\backslash$mathrm$\{$R$\}\backslash )$ is the same as $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$L$\}\}=\backslash$mathbf$\{15\backslash$Omega$\}\backslash )$

$-$ NI MultiSIM

Procedures

Construct the following circuit to find the Thevenin's equivalent circuit to the resistor R shown in Figure $1\mathrm{.}1$

a$.$ Use various $\backslash (\backslash$mathrm$\{$E$\}\_\{1\}\backslash )$ and $\backslash (\backslash$mathrm$\{$E$\}\_\{2\}\backslash )$ provided in Table $1\mathrm{.}1$ below.

b$.$ Use the space provided here to include your methodology of circuit reductions then find $\backslash (\backslash$mathrm$\{$E$\}\_\{\backslash$mathrm$\{$TH$\}\}\backslash )$ and $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$TH$\}\}\backslash ),$ last draw your equivalent circuit using NI MultiSIM.$|$

Remember: $\backslash ($ I$\_\{$L$\}\backslash )$ is always found at $\backslash ($ R$\_\{$L$\}\backslash )$ which in this case is called $"\backslash ($ R $\backslash )"$

Question $(1)$:

a$.$ Screenshot your own circuit created on MultiSIM make sure your name and ID is embedded into the circuit drawings. $20$ MARK

DATA TABLE $1\mathrm{.}1$

$(3$ Marks$)$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline NO$.$ & E$1$ & E$2$ & $$ & I. & $\backslash (\backslash$mathrm$\{$R$\}\_\{\backslash$mathrm$\{$TH$\}\}\backslash )\backslash \backslash$

$\backslash$hline $1.$ & $20$ & $16$ & & & $\backslash$multirow$\{3\}\{*\}\{.............\}\backslash \backslash$

$\backslash$hline $2.$ & $18$ & $12$ & & & $\backslash \backslash$

$\backslash$hline $3.$ & $10$ & $6$ & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

b$.$ Show your calculation to solve Thevenin's Theorem shown in Figure $1\mathrm{.}1.$

$(6$ Marks$)$