In the figure shown the current flowing through $2 R$ is :

 

Find the current through the $10 \mathrm{\Omega }$ resistor shown in figure

Two coils connected in series have resistances $600 \mathrm{\Omega }$ and $300 \mathrm{\Omega }$ at $20°\mathrm{C}$ and temperature coefficient of resistivity $0.001{ \mathrm{K}}^{-1}$ and $0.004{ \mathrm{K}}^{-1}$ respectively.

(a) The resistance of the combination at temperature $50°\mathrm{C}$ is

Two coils connected in series have resistances $600 \mathrm{\Omega }$ and $300 \mathrm{\Omega }$ at $20°\mathrm{C}$ and temperature coefficient of resistivity $0.001{ \mathrm{K}}^{-1}$ and $0.004{ \mathrm{K}}^{-1}$ respectively.

(b) The effective temperature coefficient of the combination is

In the ladder network shown, current through the resistor $3 \mathrm{\Omega }$ is $0.25 \mathrm{A}$. The input voltage $‘\mathrm{V}’$ is equal to

If $2$ bulbs rated $2.5 \mathrm{W} – 110 \mathrm{V}$ and $100 \mathrm{W} – 110 \mathrm{V}$ are connected in series to a $220 \mathrm{V}$ supply then

In the figure shown each resistor is of $20 \mathrm{\Omega }$ and the cell has emf $10 \mathrm{volt}$ with negligible internal resistance. Then rate of joule heating in the circuit is (in watts)

Arrange the order of power dissipated in the given circuits, if the same current is passing through the system. The resistance of each resistor is $r$.

i 

ii 

iii 

iv