The temperature coefficient of resistance of tungsten is $4.5\times {10}^{-3}{{}^{\circ }\mathrm{C}}^{-1}$ and that of germanium is $-5\times {10}^{-2}{{}^{\circ }\mathrm{C}}^{-1}.$ A tungsten wire of resistance $100 \mathrm{\Omega }$ is connected in series with a germanium wire of resistance $R.$ The value of $R$ for which the resistance of combination does not change with temperature is

Consider the ladder network shown in figure. What should be the value of resistance $R,$ so that effective resistance between $A \& B$ becomes independent of number of elements in the combination?

Effective resistance across $AB$ in the network shown in

Resistance across $AB$ as shown in figure is

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

In the circuit shown in figure, if ammeter and voltmeter are ideal, then the power consumed in $9 \mathrm{\Omega }$ resistor will be

In the network shown in figure, power dissipated in $3 \mathrm{\Omega }$ is $12 \mathrm{W}.$ Power dissipated in $4 \mathrm{\Omega }$ will be

Potential difference $V_A-V_B$ in the network shown is

Potential difference across $AB$ i.e., $V_A-V_B$ is