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A Metallic Wire Has a Resistance of 3.0 ω at 0°C and 4.8 ω at 150°C. Find the Temperature Coefficient of Resistance of Its Material. - Physics (Theory)

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Question

A metallic wire has a resistance of 3.0 Ω at 0°C and 4.8 Ω at 150°C. Find the temperature coefficient of resistance of its material.

Short Note

Solution

Here, R0 = 30 Ω , Rt = 4.8 Ω , t = 150° C , α = ?, where α is the temperature coefficient of resistance.

We know that 

R= R (1 + αt)

α = `("R"_"t" - "R"_0)/("R"_0 xx "t")`

`= (4.8 - 3.0)/(3xx150)`

`= 1.8/(3xx150)`

= 4 × 10-3° C-1 

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Temperature Dependence of Resistance
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2015-2016 (March) Set 1

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