Question

Twelve resistors each of 1$\Omega$ resistance are connected in the circuit shown in figure. Net resistance between points A and H would be

• A. $\frac{5}{3}\Omega$
• B. 1$\Omega$
• C. $\frac{3}{4}\Omega$
• D. $\frac{7}{6}\Omega$

Answer 1

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

the circuit has to be created as a balanced wheatstone bridge.

effective resistance is same as the resistance of a small square.

hence effective resistance = $\frac{(R+R+R)R}{(R+R)+[R+R]}$= $\frac{3R}{4R}$=$\frac{3}{4}$