Two heaters designed for the same voltage $V$ have different power ratings. When connected individually across a source of voltage $V$, they produce $H$ amount of heat each in times $t_1$and $t_2$ respectively. When used together across the same source, they produce $H$ amount of heat in time $t$.

A resistor dissipates $192 \mathrm{J}$ of energy in $1 \mathrm{s}$ when a current of $4 \mathrm{A}$ is passed through it. Now, when the current is doubled, the amount of thermal energy dissipated in $5 \mathrm{s}$ is _____________ $\mathrm{J}.$

The heat developed across $6 \mathrm{\Omega }$ resistor second is $50 \mathrm{J}$. Calculate the heat developed per second across $2 \mathrm{\Omega }$ resistor in the given electric circuit.

$ADC$ source with internal resistance $R_0$ is connected to circuit as shown in the figure. The value of $R$ for which the power generated in the circuit is the maximum is

Two resistors $R_1$and $R_2$ of $4\Omega$ and $6\Omega$  are connected in parallel across a battery. The ratio of power dissipated in them, P1 : P2 will be

An electric bulb is rated as $250 \mathrm{V}, 750 \mathrm{W}$. Calculate the resistance of its filament.