A heating element has a resistance of 100 $Ω$ at room temperature. When it is connected to a supply of 220V, a steady current of 2A passes in it and temperature is 500⁰C more than room temperature. What is the temperature coefficient of resistance of the heating element ?

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$0.5 \times 10^{- 4} ° C^{- 1}$

$2 \times 10^{- 4} ° C^{- 1}$

$5 \times 10^{- 4} ° C^{- 1}$

$1 \times 10^{- 4} ° C^{- 1}$

answer is D.

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Detailed Solution

So the resistance at 500^o C is 110 ohms.

we know, $R = R_{o} (1 + α ∆ T)$

here $R_{o} = 100 Ω, R = 110 Ω, ∆ T = 500$

on substituting the values we get $α = 2 x 10^{- 4 o} C^{- 1}$

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