Question

The equivalent resistance of network of three 2 $\Omega$ resistors can not be

• A. 0.67
• B. 2$\Omega$
• C. 3$\Omega$
• D. 6$\Omega$

Answer 1

The correct option is B 2$\Omega$

(i) : Equivalent resistance $R_i=2\parallel 2\parallel 2=\frac{2}{3}=0.67\Omega$

(ii) : Equivalent resistance $R_{ii}=(2\parallel 2)+2=1+2=3\Omega$

(iii) : Equivalent resistance $R_{iii}=2+2+2=6\Omega$

Thus an effective resistance of $2\Omega$ cannot be obtained.