Question

Resistors each of value $1\Omega$ are arranged as shown in the figure. The equivalent resistance between points $A$ and $B$ is

• A. $\frac{1}{2}\Omega$
• B. $\frac{1}{5}\Omega$
• C. $\frac{5}{4}\Omega$
• D. $\frac{4}{5}\Omega$

Answer 1

Answer: (A)

The equivalent circuit diagram is shown in the figure.

Hence, the equivalent resistance between $A$ and $B$ is
$\frac{1}{R_{AB}}=\frac{1}{1}+\frac{1}{1}=\frac{2}{1}$ or $R_{AB}=\frac{1}{2}\Omega$