Question

A metallic wire has a resistance 1.1 ohm at 20 degree Celsius and a resistance 1.7 ohm at 100 degree Celsius find the temperature coefficient

Answer 1

Answer:

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Answer 2

The temperature coefficient of the resistance of the wire is $0.0075 ^0C^-^1$.

Explanation:

Given the resistance of the metalic wire r = 1.1 ohm at temperatute,

$t = 20 ^0C$.

and a resistance R = 1.7 ohm  at temperature, $T = 100 ^0C$.

Now to calculate the temperature coefficient, use the formula as,

$R=r(1+\alpha\Delta T)$

Here, $\alpha$ is temperature coefficient of resistance of the wire.

substitute the values, we get

$1.7\Omega=1.1\Omega[1+\alpha(100-20)]$

$1.6-1=\alpha80 ^0C$

$\alpha=\frac{0.6}{80} =0.0075 ^0C^-^1$.

Thus, the temperature coefficient of the resistance of the wire is $0.0075 ^0C^-^1$.

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