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

Answer: (A)

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