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$$
\begin{array}{l}{\text { A } 32-\Omega \text { resistor and a } 20-\Omega \text { resistor are connected in par- }} \\ {\text { allel, and the combination is connected across a } 240-\mathrm{V} \text { de line. }} \\ {\text { (a) What is the resistance of the parallel combination? (b) What is }} \\ {\text { the total current through the parallel combination? (c) What is the }} \\ {\text { current through each resistor? }}\end{array}
$$

$$
\frac{1}{R q}=\frac{1}{R_{1}}+\frac{1}{R_{2}}
$$

(a) $$
R q=\left(\frac{1}{32}+\frac{1}{20}\right)^{-1}=12.3 \Omega
$$

(b) $$
V = L R \rightarrow I=\frac{V}{R}
$$

$$
I=\frac{240}{12.3}=19.5 \mathrm{A}
$$

(c) $$
I_{32}=\frac{V}{R}=\frac{240}{32}=7.5 A
$$

$$
I_{20}=\frac{V}{R}=\frac{240}{20}=12 A
$$

$$
I_{32}+I_{20}=I
$$

$$
7 \cdot 5+12=14.5 A
$$

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