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Answer»

Intial resistance of nichrome wire R1 = 230 / 3.2 = 71.875 ohm

final resistance R2 = 82.142857 ohm

Change in resistance = 82.142857 - 71.875 = 10.267 ohm

We know that change in resistance is directly proportional to the initial resistance and on the change in temperature

Let's denote the change by dR, the temperature coefficient A = 1.7 x 10^-4

dR = R1 x A x dT

dT = dR / A x R1 = 10.267 / 1.7 x 10^-4 x 71.875

dt = 840 C

Final steady temperature of the wire

840 + 27 = 867 C



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