$A$ battery of $e.m.f.$ $10\, V$ and internal resistance $0.5\, \Omega$ is connected across a variable resistance $R$. The value of $R$ for which the power delivered in it is maximum is given by ......... $\Omega$.

If the power dissipated in the $3\,\Omega$ resistor is $27\,W$,then what is the power dissipated in the $2\,\Omega$ resistor (in $,W$)?

Two resistors of $6\,\Omega$ and $9\,\Omega$ are connected in series to a $120\,V$ source. The power consumed by the $6\,\Omega$ resistor is ........... $W$.

The current $(I)$ drawn from the battery in the given circuit is (in $A$)

In the given circuit,find the maximum power consumed by the variable load resistance $R_L$.

In the circuit shown,$n$-identical resistors $R$ are connected in parallel $(n > 1)$ and the combination is connected in series to another resistor $R_0$. In the adjoining circuit,$n$ resistors of resistance $R$ are all connected in series along with $R_0$. The batteries in both circuits are identical and the net power dissipated in the $n$ resistors in both circuits is the same. The ratio $R_0 / R$ is