Question

Nine resistors each of resistance R are connected in the circuit as shown in figure. The effective resistance between A and B is

• A. $\frac{7}{6}R$
• B. $R$
• C. $\frac{3}{5}R$
• D. $\frac{2}{9}R$

Answer 1

The correct option is D $\frac{2}{9}R$


$R^1=\frac{\frac{R}{3}\times \frac{2R}{3}}{\frac{R}{3}+\frac{2R}{3}}=\frac{\frac{2R^2}{9}}{R}=\frac{2}{9}R$