The equivalent resistance between $A$ and $B$ is $......$
A$\frac{2}{3} \Omega$
B$\frac{1}{2} \Omega$
C$\frac{3}{2} \Omega$
D$\frac{1}{3} \Omega$
JEE MAIN 2023, Medium
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A$\frac{2}{3} \Omega$
a $\frac{1}{ R _{ eq }}=\frac{1}{2}+\frac{1}{12}+\frac{1}{4}+\frac{1}{6}+\frac{1}{2}$
$=\frac{6+1+3+2+6}{12}=\frac{18}{12}=\frac{3}{2}$
$\Rightarrow \quad R_{ eq }=\frac{2}{3}\,\Omega$
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