The heat produced by a $100\, watt$ heater in $2$ minute will be equal to
$12 \times {10^3}\,J$
$10 \times {10^3}\,J$
$6 \times {10^3}\,J$
$3 \times {10^3}\,J$
The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation.
Three bulbs of $40\,W$, $60\,W$ and $100\,W$ are arranged in series with $220\,V$. Which bulb has minimum resistance............... $W$
Three resistors of $4\,\Omega ,6\,\Omega $ and $12\,\Omega $ are connected in parallel and the combination is connected in series with a $1.5\, V$ battery of $1\,\Omega $ internal resistance. The rate of Joule heating in the $4\,\Omega $ resistor is ................ $W$
If power in external resistance $R$ is maximum then
$(i) R = r$ $(ii)$ Power in $R$ is $\frac{{{E^2}}}{{4R}}$
$(iii)$ Input power $\frac{{{E^2}}}{{2R}}$ $(iv)$Efficiency is $50\%$
Power $P$ is to be delivered to a device via transmission cables having resistance ${R_C}$. If $V$ is the voltage across $R$ and $I$ the current through it, find the power wasted and how can it be reduced.