Question

Twelve equal wire each of resistance $R$ are joined so as to form a skeleton cube. Current events at one corner and leaves at the opposite corner of same face.Show that the equivalent resistance of the cube between these corner is $\frac{3}{4}R$:

Answer 1

In this circuit $E$ and $C$ $(F$ and $C)$ are equivalent. They are on the same potential.

So, from IMAGE 02

The total resistance between $A$ and $B$ becomes $=\frac{3}{4}R$