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

In the given circuit,the current $I_1$ is .............. $A$.

If the resistances are chosen for the circuit shown in the figure in such a way that no current flows through the battery with emf $E_1 = 2 \ V$,the voltage $V_2$ across $R_2$ and the current $I_3$ flowing through $R_3$ are respectively,

$A$ battery of $10 \;V$ and negligible internal resistance is connected across the diagonally opposite corners of a cubical network consisting of $12$ resistors each of resistance $1 \;\Omega$. Determine the equivalent resistance of the network and the current along each edge of the cube.

In the following electrical network,the value of $I$ is (in $A$)

In a Wheatstone network,$P=2 \Omega, Q=2 \Omega, R=2 \Omega$,and $S=3 \Omega$. The resistance with which $S$ is to be shunted so that the bridge may be balanced is: (in $\Omega$)