For ensuring dissipation of same energy in all three resistors $({R_1},\,{R_2},\,{R_3})$ connected as shown in figure, their values must be related as 

An electric kettle takes $4\, A$ current at $220\,V.$ How much time will it take to boil $1\,\, kg$ of water circuits are consequences of from temperature $20\,^o C\, ?$ The temperature of $(a)$ conservation of energy and electric charge boiling water is $100\,^o C.$ ............... $min$

In the circuit shown below, the power developed in the $6$ $\Omega$ resistor is $6\, watt$. The power in watts developed in the $4$ $ \Omega$ resistor is

If a wire of resistance $20\,\Omega $ is covered with ice and a voltage of $210\, V$ is applied across the wire, then the rate of melting of ice is .................. $g/s$

Four lamps are connected in the way shown in the figure. When switch $S_2$ is open and switch $S_1$ is on position $-2$ , lamp $-b$ is the brightest, and lamp $-c$ and lamp $-d$ are the dimmest and are of the same brightness. Now $S_2$ is closed and $S_1$ is on position $-1$ , the sequence in brightness of the lamps is (with the first in the sequence being the brightest)

A cable of resistance $10\,\Omega $ carries electric power from a generator producing $250\, kW$ at $10000\, volt$. The current in the cable is ............. $A$