3.8 A heating element using nichrome connected to a 230 V supply draws an initial current of 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 °C? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 × 10–4 °C–1.
3.8 A heating element using nichrome connected to a 230 V supply draws an initial current of 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 °C? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 × 10–4 °C–1.
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1 Answer
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3.8 Given
Supply voltage, V = 230 V
Initial current drawn, I= 3.2 A
Final current drawn, = 2.8 A
Room temperature, T = 27.0 °C
Steady temperature, = ?
From Ohm’s law, we get initial resistance, = = Ω = 71.875 Ω
Final resistance, = = Ω = 82.143 Ω
From the relation of α = , where α is the temperature coefficient of resistance, we get
1.7 =
840.34
Therefore the steady temperature of heating element required is
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