. A heating element using nichrome connected to a 230 V supply


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 1.7 x 10-4° C-1.

Best Answer

Solution:

  • Voltage supply is given as V = 230 V, initial current I= 3.2 A. 
  • Initial Resistance is,

Initial Resistance is

  • At steady state, current is I2 = 2.8 A and the resistance will be

steady state, current is

  • Temperature coefficient of resistance of nichrome, α is 1.7 x 10-4° C-1. And the formula for α is,

Temperature coefficient

Final answer:

Steady temperature of the heating element is T2 = 867.5 °C.

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