In the network shown in the following figure, each resistance is $1\,ohm.$ The effective resistance between $A$ and $B$ is
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$1\,\Omega  \,|| \,2\,\Omega  = \frac{{1 \times 2}}{{1 + 2}} = \frac{2}{3}$

$\frac{2 \times \frac{8}{3}}{2+\frac{8}{3}}=\frac{16}{14}=\frac{8}{7} \,\Omega$

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