$A$ battery with an internal resistance of $4\,\Omega$ is connected to a circuit as shown in the figure. For the circuit to receive maximum power,the value of $R$ should be ..... $\Omega$.

When two identical resistors are connected in series to an ideal cell,the current through each resistor is $2 \ A$. If the resistors are connected in parallel to the same cell,the current through each resistor is: (in $A$)

In the given figure,the equivalent resistance between the points $A$ and $B$ is ............ $\Omega$.

$A$ battery of internal resistance $4\,\Omega$ is connected to a network of resistors as shown in the figure. If maximum power is to be delivered to the network,the magnitude of $R$ in $\Omega$ should be:

The sliding contact $C$ is at one-fourth of the length of the potentiometer wire $(AB)$ from $A$ as shown in the circuit diagram. If the resistance of the wire $AB$ is $R_0$,then the potential drop $(V)$ across the resistor $R$ is

Find the current in the $6\,\Omega$ resistance.