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$$ \begin{array}{l}{\text { a) Find the value of } R_{L} \text { that results in maximum power being transferred to } R_{L} \text { . }} \\ {\text { b) Calculate the maximum power that can be delivered to } R_{L} .}\end{array} $$
(1)
$$ R_{t h}=\frac{150 * 30}{150+30}=25 \Omega $$
$$ R_{t h}=R_ L=25 \Omega $$
(2)
$$ V_{th}=\frac{150 * 360}{150+30} $$
$$ V_{th}=300 V $$
$$ P_{\max }=\frac{V_{th}^2} {4R_{l}} $$
$$ P_{max}=\frac{(300)^{2}}{4*25} $$
$$ P_{max}=900w $$
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$$
\begin{array}{l}{\text { a) Find the value of } R_{L} \text { that results in maximum power being transferred to } R_{L} \text { . }} \\ {\text { b) Calculate the maximum power that can be delivered to } R_{L} .}\end{array}
$$
(1)
$$
R_{t h}=\frac{150 * 30}{150+30}=25 \Omega
$$
$$
R_{t h}=R_ L=25 \Omega
$$
(2)
$$
V_{th}=\frac{150 * 360}{150+30}
$$
$$
V_{th}=300 V
$$
$$
P_{\max }=\frac{V_{th}^2} {4R_{l}}
$$
$$
P_{max}=\frac{(300)^{2}}{4*25}
$$
$$
P_{max}=900w
$$
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