Question

Six equal resistance, each $1\Omega$ are joined to form a network as shown in figure, Then the resistance between any two corners is.

• A. $0.5\Omega$
• B. $2\Omega$
• C. $1\Omega$
• D. $1.5\Omega$

Answer 1

The correct option is A $0.5\Omega$

Let us find the resistance between points B and C.

The circuit BACOB forms a balanced Wheatstone bridge. So no current will flow through AO.

Resistace of line BAC = 1 + 1 = 2 Ohm

Resistance of line BOC = 1 + 1 = 2 Ohm

Now lines BAC, BOC and BC are in parallel. So the equivalent resistance willl be $\frac{1}{R_{e}q}=\frac{1}{2}+\frac{1}{2}+\frac{1}{1}=2$

$R_{e}q=0.5Ohm$