In the circuit, various resistances and five batteries are connected as shown in the figure. If point $O$ is earthed,

 

Inside a superconducting ring, six identical resistors each of resistance $R$ are connected as shown in figure. The equivalent resistance(s),

Inside a superconducting ring, six identical resistors each of resistance $R$ are connected as shown in figure. The equivalent resistance(s),

Inside a superconducting ring, six identical resistors each of resistance $R$ are connected as shown in figure.

In the circuit shown, the resistances are given in ohms and the battery is assumed ideal with emf equal to $3.0 \mathrm{V}$.

In the given arrangement of resistances, find the equivalent resistance (in $\mathrm{\Omega }$) between points $A$ and $B$ in the figure. Each resistance $R$, in magnitude, is equal to $10 \mathrm{\Omega }$.