Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :

In the electric network shown,when no current flows through the $4\, \Omega$ resistor in the arm $EB$,the potential difference between the points $A$ and $D$ will be ............... $V$.

In the adjacent circuit,a voltmeter of internal resistance $R$,when connected across $B$ and $C$,reads $\frac{100}{3} \ V$. Neglecting the internal resistance of the battery,the value of $R$ is ................. $k \Omega$.

$A$ uniform metallic wire having resistance $4 \ \Omega$ is bent to form a square loop $(ABCD)$ (see figure). $A$ resistance of $2 \ \Omega$ is connected between points $B$ and $D$ and a battery of $2 \ V$ is connected across points $A$ and $C$ as shown in the figure. Now the value of current $(I)$ is: (in $A$)

$A$ battery of $3.0 \ V$ is connected to a resistor dissipating $0.5 \ W$ of power. If the terminal voltage of the battery is $2.5 \ V$,the power dissipated within the internal resistance is $....... \ W$.

The potential difference across the $8 \ \Omega$ resistance is $48 \ V$ as shown in the figure. The value of the potential difference across points $X$ and $Y$ will be: (in $V$)