Question

A conductor has resistance of 15 ohm at 10degreeC and 18 ohm at 400 degree C
Find the temperature coefficient of resistance of material.

Answer 1

hair Alpha is the coefficient of temperature and all is the initial resistance

Answer 2

Given :

A conductor has resistance of 15 ohm at 10 degree C and 18 ohm at 400 degree C .

To Find :

The temperature coefficient of resistance of material .

Solution :

We know , variation of resistance with temperature is given by :

$R=R_o(1+\alpha(T_f-T_i))$

Here , $R_o=15\ \Omega$

Putting all vales in above equation , we get :

$18=15(1+\alpha(400-10))\\\\\alpha=\dfrac{1}{390}\times (\dfrac{18}{15}-1)\\\\\alpha=5.13\times 10^{-4}\ ^oC^{-1}$

Hence , this is the required solution .

Learn More :

Resistance

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