Two identical heaters rated $220\,V, 1000\,W$ are connected in series across a $220\,V$ supply. If the resistance does not change with temperature,the total power consumed by the combination is ............. $W$.

$A$ square-shaped wire with a resistance of $3\, \Omega$ for each side is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in units of $\Omega$ will be:

$6 \Omega$ 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 $\text{ V}$)?

$A$ circuit consists of five identical conductors,each of resistance $1 \ \Omega$,as shown in the figure. Two similar conductors are added as indicated by the dotted lines. The ratio of the equivalent resistances before and after the addition is:

The equivalent resistance between $A$ and $B$ for the mesh shown in the figure is ......... $\Omega$.

Three resistances of equal values $R$ are arranged in four different configurations as shown in the figure. The power dissipation in increasing order is: