The phasor voltage $\backslash (\backslash$mathbf$\{$V$\}\_\{\backslash$mathrm$\{$ab$\}\}\backslash )$ in the circuit shown in $($Figure $1)$ is $\backslash (450\backslash$angle $0^\{\backslash$circ$\}\backslash$mathrm$\{$V$\}\backslash )($rms$)$ when no external load is connected to the terminals $\backslash (\backslash$mathbf$\{$a$\}\backslash$cdot $\backslash$mathbf$\{$b$\}\backslash ).$ When a load having a resistance of $\backslash (100\backslash$Omega $\backslash )$ is connected across $\backslash (\backslash$mathbf$\{$a$\}.\backslash$mathbf$\{$b$\}\backslash ).$ the value of $\backslash (\backslash$mathbf$\{$V$\}\_\{\backslash$mathrm$\{$ab$\}\}\backslash )$ is $\backslash (225-$j $75\backslash$mathrm$\{$~V$\}\backslash )($rms$).$

Part A

Find the impedance that should be connected across a$,$ b for maximum average power transfer.

Express your answer in ohms to three significant figures in rectangular form.

View Available Hint$($s$)$

Correct

Here we learn how to find the impedance of the circuit in the case of maximum average power transfer using the Thevenin equivalent.

Part B

Find the maximum average power transferred to the load of Part $\backslash ($ A $\backslash ).$

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

for Fert for Part

$8$ Afdo for Part redo folPert B respor Part B keyboard shortcuts for Part B help for Part B $\backslash ($ P$=\backslash )$