In the following star circuit diagram, the equivalent resistance between the points $A$ and $H$ will be ..............$r$.

$A$ ring is made of a wire having a resistance $R_0 = 12\,\Omega$. Find the positions of points $A$ and $B$ such that the equivalent resistance of the circuit shown is $8/3\,\Omega$.

$A$ wire has a resistance of $24\,\Omega$ and is bent into the shape shown in the figure. The effective resistance between $A$ and $B$ is .............. $\Omega$.

The current $I_{1}$ (in $A$) flowing through the $1\; \Omega$ resistor in the following circuit is:

$6 \Omega$ and $12 \Omega$ resistors are connected in parallel. This combination is connected in series with a $10 \text{ V}$ battery and a $6 \Omega$ resistor. What is the potential difference between the terminals of the $12 \Omega$ resistor (in $\text{ V}$)?

The total resistance between $x$ and $y$ is ...... $\Omega$.