The resistance of a tungsten filament at 150C is 133 ohm.What will be its resistance at 500C?the temperature coefficient of resistance of tungsten is 0.0045 per c?

Question

Answer

Calculation of Resistance of Tungsten Filament

Given:

Temperature at which resistance of tungsten filament is measured, T1 = 150°C
Resistance of tungsten filament at T1, R1 = 133 Ω
Temperature at which resistance is to be calculated, T2 = 500°C
Temperature coefficient of resistance of tungsten, α = 0.0045 per °C

Formula:

R2 = R1 [1 + α(T2 - T1)]

Solution:

Substituting the given values in the above formula, we get:

R2 = 133 Ω [1 + 0.0045 (500°C - 150°C)]
R2 = 133 Ω [1 + 1.755]
R2 = 133 Ω x 2.755
R2 = 366.915 Ω

Therefore, the resistance of the tungsten filament at 500°C is 366.915 Ω. The increase in temperature causes an increase in the resistance of the tungsten filament due to the positive temperature coefficient of resistance of tungsten.

Answer

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