Question

Six identical resistors each of $10\Omega$ are connected as shown in the figure. The equivalent resistance between points $\text{X}$ and $\text{Y}$ is :

• A. $20\Omega$
• B. $5\Omega$
• C. $\frac{25}{3}\Omega$
• D. $10\Omega$

Answer 1

The correct option is B $5\Omega$


So, above circuit can be redrawn as shown below

Clearly, the above circuit resembles a balanced Wheatstone bridge, so we can remove the resistor in the arm $\text{AB}$

The circuit will further reduce as shown below,

$\Downarrow$


So, equivalent resistance across points $\text{X}$ and $\text{Y}$ will be

$\frac{1}{R_{eq}}=\frac{1}{20}+\frac{1}{20}+\frac{1}{10}=\frac{1}{5}$

$\therefore R_{eq}=5\Omega$

Hence, option $\left(b\right)$ is the correct answer.