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The resistance of a wire is 60 ? at 25oC and 65? at 75oC. Find the resistance of wire at 0oC and value of temperature co-efficient at 0o C.
Ans:
Given R25 = 60 ? and R75 = 65 ?
Rt = R= (1 + α t)
Rt = RO (1 + αO t)
R25= RO (1 + αO 25) -----------------(1)
R75= RO (1 + αO 75) ------------------(2)
Divide (1) with (2)
(R25/ R75) = (RO (1 + αO 25))/(RO (1 + αO 75))
60/65 = (1 + αO 25)/( 1 + αO 75)
60 + 4500 αO = 65 + 1625 αO
2875 αO = 5
αO = 5 / 2875 = 0.001739 / 0C
R25 = RO (1 + 0.001739 X 25)
RO = 60 / 1.04348 = 57.49 ?
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