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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 ×

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Supply voltage, V = 230 V Initial current drawn, I1 = 3.2 A Initial resistance = R1, which is given by the relation, Steady state value of the current, I2 = 2.8 A Resistance at the steady state = R2, which is given as Temperature co-efficient of nichrome, α = 1.70 × 10−4 °C −1 Initial...
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Supply voltage,V= 230 V Initial current drawn,I1= 3.2 A Initial resistance =R1, which is given by the relation, Steady state value of the current,I2= 2.8 A Resistance at the steady state =R2, which is given as Temperature co-efficient of nichrome,α= 1.70 × 10−4°C−1 Initial temperature of nichrome,T1= 27.0°C Study state temperature reached by nichrome =T2 T2can be obtained by the relation forα, Therefore, the steady temperature of the heating element is 867.5°C read less
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