Question

At room temperature 27•0 °c the resistance of a hearing element is 100♎️ what is the temperature of element if the resistance is found to be 117 ♎give that the temperature coefficient of the material of the resistor is 1• 70 × 10-4 °c-1.

Answer 1

Answer:

Explanation:

Room temperature, T = 27°C

Resistance of the heating element at T, R = 100 Ω

Let T1 is the increased temperature of the filament.

Resistance of the heating element at T1, R1 = 117 Ω

Temperature co-efficient of the material of the filament,

Therefore, at 1027°C, the resistance of the element is 117Ω.

Answer 2

AnswEr:-

• The temperature of the element is 1027° C

Explanation:-

Room T = 27° C

Resistance of thr heating element at T, R = 100Ω

Let T2 is the increased temperature of the filament. Resistance of the heating element at T1 , R2= 117Ω .

Temperature co efficient of the material of the filament.

→ a= 1.70 × 10-⁴ C-¹

→ a = R1-R / R(T1- T)

→ T1- T = R1- R/ Ra

→ T1- 27 = 117-100/100(1.7×10-⁴)

→ T1- 27 = 1000

→ T1 = 1027° C

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