Question

Twelve resistors each of resistance $18\Omega$ are connected in a circuit as shown. The net resistance between $\text{AB}$ is

• A. $3.5\Omega$
• B. $4.5\Omega$
• C. $4\Omega$
• D. $5\Omega$

Answer 1

The correct option is B $4.5\Omega$

Given, the resistance of each resistor is $R=18\Omega$

We can redraw the given circuit as,




The equivalent resistance between $\text{AB}$ is,

$R_{AB}=\frac{18\times 6}{18+6}=\frac{18\times 6}{24}$

$R_{AB}=\frac{18}{4}=4.5\Omega$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(B\right)$ is the correct answer.