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3.2 A which settles after a few seconds to a steady value of 2.8 A. What is the steady temperature of the heating element if the room temperature is 27.0 oC ? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.710-4 oC-1 .
Question
Solution:
Voltage supply is given as V =230 V, initial current I1 = 3.2 A.
Initial Resistance is,
R1 = VI1 = 71.9 Ω
At steady state, current is I2 = 2.8 A and the resistance will be
R2 = VI2 = 82.14 Ω
Temperature coefficient of resistance of nichrome, α is 1.710-4 oC-1. And the formula for α is,
α = R2-R1R1T2-T1 ( T1 = 27 0C)
T2 = 867.5 oC
Final answer:
Steady temperature of the heating element is T2 = 867.5 oC.
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