Question

The equivalent resistance between A and B is _________.

• A. $\frac{2}{3} \Omega$
• B. $\frac{3}{2} \Omega$
• C. $\frac{1}{3} \Omega$
• D. $\frac{1}{2} \Omega$

Answer 1

The Correct Option is A

The correct answer is (A) : $\frac{2}{3} \Omega$

The given figure can be rearranged as - 

$\frac{1}{R_{eq}}=\frac{1}{2}+\frac{1}{12}+\frac{1}{4}+\frac{1}{6}+\frac{1}{2}$
$=\frac{6+1+3+2+6}{12}=\frac{18}{12}=\frac{3}{2}$
$\Rightarrow R_{eq}=\frac{2}{3}\Omega$