Question

Resistance of each branch in the given figure is $1\Omega$. Equivalent resistance of circuit between points A and B is :

• A. $\frac{11}{13}$
• B. $\frac{22}{17}$
• C. $\frac{7}{9}$
• D. $\frac{22}{35}$

Answer 1

The correct option is D $\frac{22}{35}$

Using symmetry and series parallel combination, we get the following circuit:

All the resistances other than the marked ones will be $1\Omega$

So, the equivalent resistance between A and B will be:
$\frac{1}{R_{eq}}=\frac{6}{11}+\frac{1}{2}+\frac{6}{11}$
$\therefore \frac{1}{R_{eq}}=\frac{35}{22}$
which gives, $R_{eq}=\frac{22}{35}$