Question

In the following circuit$,AB$ is a long resistance wire of $300\Omega$. It is tapped at one third distance and is connected as shown in Fig. The equivalent resistance between $X$ and $Y$ will be:

• A. $20\Omega$
• B. $32\Omega$
• C. $60\Omega$
• D. $noneofabove$

Answer 1

The correct option is B $32\Omega$

Consider the equivalent circuit of given circuit as shown in figure.
The equivalent resistance between $X$ and $Y$ from figure $\left(c\right)$ is
$R_{XY}=\frac{40\times 160}{160+40}$
$R_{XY}=\frac{6400}{200}$
$R_{XY}=32\Omega$