Question

The resistance of a wire is 5Ω at 50℃ and 6 Ω at 100℃. Then find the resistance of the

wire at 0℃ and also find temperature coefficient of resistance of the material of the wire.​

Answer 1

Resistance of the wire must vary linearly with temperature.

Hence

R=aT+b (let T be in degree scale)

Using R(50)=5.

R(100)=6

We get b = 4,

and a=

50

1

Hence,

R=

50

T

+4

Putting R(0) for resistance at 0

∘

we get R(0) =4 ohm