Lamps used for household lighting are connected in

$3$ identical bulbs are connected in series and these together dissipate a power $P$. If now the bulbs are connected in parallel,then the power dissipated will be

An electrical bulb rated $220\,V, 100\,W$ is connected in series with another bulb rated $220\,V, 60\,W$. If the voltage across the combination is $220\,V$,the power consumed by the $100\,W$ bulb will be about $........... W$.

$A$ regular hexagon is formed by six wires each of resistance $r \Omega$ and the corners are joined to the centre by wires of the same resistance. If the current enters at one corner and leaves at the opposite corner,the equivalent resistance of the hexagon between the two opposite corners will be:

In the arrangement of resistances shown below,the effective resistance between points $A$ and $B$ is ............... $\Omega$.

$A$ wire of resistance $R$ is bent to form a square $ABCD$ as shown in the figure. The effective resistance between $E$ and $C$ is ( $E$ is the mid-point of arm $CD$ ).