The wire of resistance R 1 and R 2 have temperature coefficient of resistance - 1 and - 2 respectively- These are joined in series- The effective temperature coefficient of resistance is

Two resistors with temperature coefficients of resistance $α_{1}$ and $α_{2}$ have resistances $R_{1}$ and $R_{2}$ at $0^{\circ} C$ . What is the temperature coefficient of the compound resistor consisting of the two resistors connected in parallel?

Two resistance $R_{1}$ and $R_{2}$ are made of different materials. The temperature coefficient of the material of $R_{1}$ is $α$ and that of the material of $R_{2}$ is $β$ . The resistance of the series combination of $R_{2}$ and $R_{1}$ does not change with temperature, then the ratio of resistances of the two wires at $0^{o}$ will be:

Join BYJU'S Learning Program

The wire of resistance R1 and R2 have temperature coefficient of resistance α1 and α2 respectively. These are joined in series. The effective temperature coefficient of resistance is

The correct option is C α1R1+α2R2R1+R2R=R0[1+αΔT]Requ=R1+R2ΔRequ=ΔR1+ΔR2R0equαequΔT=R1α1ΔT+R2α2ΔT,asΔ=R0αΔT.αequ=R1α1+R2α2R0equ=R1α1+R2α2R1+R2

The wire of resistance $R_{1}$ and $R_{2}$ have temperature coefficient of resistance $α_{1}$ and $α_{2}$ respectively. These are joined in series. The effective temperature coefficient of resistance is