Physics

Problem

Two resistive wires are connected in series. The first wire has resistance

R_{1} = 100\,\Omega

0^{\circ}\text{C}

and temperature coefficient

\alpha_{1} = 0.005/^{\circ}\text{C}

. The second wire has resistance

R_{2}

0^{\circ}\text{C}

and temperature coefficient

\alpha_{2} = -0.002/^{\circ}\text{C}

. Find the value of

R_{2}

such that the combined resistance of the series combination does not change with temperature.