Question
What is the equivalent resistance between the points $X$ and $Y$ for the given network?
✓
Answer
An equivalent circuit for the combination
$\frac{1}{ R }=\frac{1}{ R _1}+\frac{1}{ R _2}+\frac{1}{ R _3}$
$R_1 = 5 + 3 = 8 \Omega$
$R_2 = 8 \Omega$
$R_3 = 1 + 3 = 4 \Omega$
$\frac{1}{ R }=\frac{1}{8}+\frac{1}{8}+\frac{1}{4}$
$\frac{1}{R}=\frac{1+1+2}{8}$
$=\frac{4}{8}=\frac{1}{2}$
$R = 2 \Omega$
$\frac{1}{ R }=\frac{1}{ R _1}+\frac{1}{ R _2}+\frac{1}{ R _3}$
$R_1 = 5 + 3 = 8 \Omega$
$R_2 = 8 \Omega$
$R_3 = 1 + 3 = 4 \Omega$
$\frac{1}{ R }=\frac{1}{8}+\frac{1}{8}+\frac{1}{4}$
$\frac{1}{R}=\frac{1+1+2}{8}$
$=\frac{4}{8}=\frac{1}{2}$
$R = 2 \Omega$
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