The potential difference between the points $P$ and $Q$ is nearly: (in $V$)

In the circuit shown in the figure,the power dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit? ................ $\Omega$

Two bulbs of equal wattage,one having a carbon filament and the other having a tungsten filament,are connected in series to the mains. Then:

Calculate the amount of charge flowing in $2$ minutes in a wire of resistance $10\,\Omega$ when a potential difference of $20\,V$ is applied between its ends.

Six resistors of $3 \; \Omega$ each are connected along the sides of a hexagon and three resistors of $6 \; \Omega$ each are connected along $AC$, $AD$, and $AE$ as shown in the figure. The equivalent resistance between $A$ and $B$ is equal to

The battery in the diagram is to be charged by the generator $G$. The generator has a terminal voltage of $120 \ V$ when the charging current is $10 \ A$. The battery has an $emf$ of $100 \ V$ and an internal resistance of $1 \ \Omega$. In order to charge the battery at $10 \ A$ charging current,the resistance $R$ should be set at ................ $\Omega$.