# At room temperatu

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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