An electrical power line, having a total resistance of $2 \Omega$, delivers $1 \,kW$ at $220\, V$. The efficiency of the transmission line is approximately $.......\%$

Two electric bulbs ($60\,W$ and $100\,W$ respectively) are connected in series. The current passing through them is

A wire when connected to $220\,V$ mains supply has power dissipation ${P_1}$. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is ${P_2}$. Then ${P_2}:{P_1}$ is

Power dissipated across the $8\,\Omega $ resistor in the circuit shown here is $2\, watt$. The power dissipated in watt units across the $3\,\Omega $ resistor is

The electric current passing through a metallic wire produces heat because of

In the circuit shown the cells are ideal and of equal emfs, the capacitance of the capacitor is $C$ and the resistance of the resistor is $R. X$ is first joined to $Y$ and then to $Z$. After a long time, the total heat produced in the resistor will be