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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