Determine the current (in $A$) drawn from a $12\; V$ supply with internal resistance $0.5\; \Omega$ by the infinite network shown in the figure. Each resistor has $1\; \Omega$ resistance.

In the figure given below,the current passing through the $6\,\Omega$ resistor is ........... $A$.

$A$ uniform wire of resistance $9 \, \Omega$ is cut into $3$ equal parts. They are connected in the form of an equilateral triangle $ABC$. $A$ cell of $e.m.f.$ $2 \, V$ and negligible internal resistance is connected across $B$ and $C$. The potential difference across $AB$ is ............... $V$.

In the given circuit,find the maximum power consumed by the variable load resistance $R_L$.

Find the current flowing through the resistance $R_2$ of the circuit shown in the figure,if the resistances are $R_1 = 20 \ \Omega, R_2 = 30 \ \Omega$ and $R_3 = 60 \ \Omega$,and the potentials of points $1, 2$ and $3$ are $V_1 = 20 \ V, V_2 = 30 \ V$ and $V_3 = 60 \ V$ respectively. (in $A$)

Find the current through the $2\,\Omega$ resistance in the given circuit. (in $A$)