-
If the resistance of a conductor is 5 Ω at 50ºC and 7Ω at 100ºC, then the mean temperature coefficient of resistance (of the material) is
-
- 0.001/ºC
- 0.004/ºC
- 0.006/ºC
- 0.008/ºC
Correct Option: A
As we know that resistance varies with temperature as
R = R0 [1 + αt]
Ist Case : 5 = R0 [1 + α(50)] ....(I)
IInd Case : 7 = R0 [1 + α(100)] .....(II)
Divided (I) by (II), | = | |||
7 | 1 + 100 α |
5 + 500α = 7 + 350α
150α = 2 ⇒ α - | 2 | - 0.001 /°C |
150 |