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

$A$ resistor develops $500 \, J$ of thermal energy in $20 \, s$ when a current of $1.5 \, A$ is passed through it. If the current is increased from $1.5 \, A$ to $3 \, A$,what will be the energy (in $J$) developed in $20 \, s$?

If $2.2\,kW$ power is transmitted through a $100\,\Omega$ line at $22,000\,V,$ the power loss in the form of heat will be ............. $W$.

Heat is produced at a rate given by $H$ in a resistor when it is connected across a supply of voltage $V$. If now the resistance of the resistor is doubled and the supply voltage is made $V / 3$, then the rate of production of heat in the resistor will be

Find the number of electrons flowing through the filament of a $120 \ V, 60 \ W$ electric lamp in one second.

Heat produced in a wire of resistance $R$ due to current flowing at constant potential difference is proportional to