Question

Six resistors of each $2$ ohm are connected as shown in the figure. The resultant resistance between $A$ and $B$ is.

• A. $4\Omega$
• B. $2\Omega$
• C. $1\Omega$
• D. $10\Omega$

Answer 1

Answer: (C)

$1\Omega$

Simplified diagram is drawn as shown

By Wheatstone bridge condition branch

XY can be neglected

$\frac{1}{R_{AB}}=\frac{1}{4}+\frac{1}{4}+\frac{1}{2}$

$=\frac{1}{2}+\frac{1}{2}=1$

$\Rightarrow R_{AB}=1\Omega$