$A$ wire of resistance $R$ and length $L$ is cut into $5$ equal parts. If these parts are joined in parallel,then the resultant resistance will be:

You are given a resistance wire of length $50\, cm$ and a battery of negligible resistance. In which of the following cases is the largest amount of heat generated?

The equivalent resistance of a group of resistances is $R$. If another resistance is connected in parallel to the group,its new equivalent becomes $R_1$,and if it is connected in series to the group,its new equivalent becomes $R_2$. We have:

The effective resistance of two resistors in parallel is $\frac{12}{7} \ \Omega$. If one of the resistors is disconnected,the resistance becomes $4 \ \Omega$. The resistance of the other resistor is ............. $\Omega$.

Three electric bulbs of $200\,W, 200\,W$ and $400\,W$ are shown in the figure. The resultant power of the combination is ................ $W$.

$A$ current of $3 \, A$ flows through the $2 \, \Omega$ resistor shown in the circuit. The power dissipated in the $5 \, \Omega$ resistor is ................. $W$.