Q. 54.1( 50 Votes )

At room temperatu

Answer :

Given: Temperature coefficient of filament,

α = 1.70 × 10-4 per °C


Let T1 be the temperature of element, R1 = 100Ω (Given: T1 = 27°C)


Let T2 be the temperature of element, R2 = 117Ω


To find T2 = ?


The formula is: R2 = R1[1 + α(T2-T1)]


R2 - R1 = R1α(T2 - T1)


R2 - R1 = R1α (T2 - T1)




T2-27°C = 1000°C


T2 = 1000°C + 27°C


Hence Temperature of element, T2 is 1027 °C.


Note: The temperature coefficient of resistance (α) gives the change in resistance per degree change in temperature. For pure metals, it is positive means- The resistance increases with temperature.


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