A frame is made of thin homogeneous wire (as shown in figure). Assuming that the number of successively embedded equilateral triangles (with sides decreasing by half) tends to infinity, where side $\mathrm{AB}$ is equal to $A,$ and the resistance of unit length of the wire is $\rho ,$ the resistance $R_{\mathrm{AB}}$ between points $\mathrm{A}$ and $\mathrm{B}$ is

The current in the $1 \mathrm{\Omega }$ resistor shown in the circuit is,

The equivalent resistance between points $A$ and $B$ is

Find equivalent resistance between the points $A$ and $B$ ?

In given circuit, all resistances are of $10 \mathrm{\Omega }$. Current flowing through ammeter is

Calculate the effective resistance between $A$ and $B$ in the following network.