3.5 At room temperature (27.0 °C) the resistance of a heating element is 100 Ω. What is the temperature of the element if the resistance is found to be 117 Ω, given that the temperature coefficient of the material of the resistor is .
Given,
Temperature coefficient of filament, =
;
Let be the temperature of element,
(Positive means that the resistance increases with temperature. Hence we can deduce that will be greater than )
We know,
Hence, the temperature of the element is 1027 °C.