Find the resistance of wire, Electrical Engineering

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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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