Question

For the following circuit, the value of total resistance between $X$ and $Y$ in ohm is-

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

Answer 1

The correct option is C $\frac{4}{3}\Omega$

Circuit can be solved as,

$\begin{array}{c}\frac{1}{R_{eq}}=\frac{1}{4}+\frac{1}{12}+\frac{1}{6}+\frac{1}{4}\\ \Rightarrow \frac{1}{R_{eq}}=\frac{6+2+4+6}{24}\\ \Rightarrow R_{eq}=\frac{24}{18}=\frac{4}{3}\Omega \end{array}$

$\therefore$ Option $C$ is correct.