The capacitor shown in fig. is in steady state. The energy stored in the capacitor is

In the circuit shown, the thermal power dissipated in $R_1$ is $P$. The thermal power dissipated in $R_2$ is

A heater is designed to operate with a power of $1000 \mathrm{~W}$ in a $100 \mathrm{~V}$ line. It is connected in combination with a resistance of $10 \Omega$ and a resistance $R$, to a $100 \mathrm{~V}$ mains as shown in figure. For the heater to operate at $62.5 \mathrm{~W}$, the value of $\mathrm{R}$ should be .................. $\Omega$.

In the following circuit, the battery has an emf of  $2\mathrm{V}$ and an internal resistance of $\frac{2}{3}\  \Omega$. The power consumption in the entire circuit is$..... W.$

The ratio of powers dissipatted respectively in $R$ and $3R$, as shown is:

If a $2\, kW$ boiler is used everyday for $1$ hour, then electrical energy consumed by boiler in thirty days is .......... $uint$