Question

In the network shown in figure, each resistant is $1\Omega$. The effective resistance between the points A and B is

• A. $\frac{4}{3}\Omega$
• B. $\frac{3}{2}\Omega$
• C. $7\Omega$
• D. $\frac{8}{7}\Omega$

Answer 1

The correct option is D $\frac{8}{7}\Omega$

$\begin{array}{c}Hence,\\ R_{eq}=\frac{1}{\frac{1}{1+1+\frac{2}{3}}+\frac{1}{1+1}}\\ =\frac{1}{\frac{3}{8}+\frac{1}{2}}\\ =\frac{8}{3+4}\\ =\frac{8}{7}.\end{array}$

Hence, option $D$ is the correct answer.