# A resistor is made from a material that

A resistor is made from a material that has a temperature coefficient of resistivity of $2.0×{10}^{-3}{/}^{\circ }C$. Its resistance is at ${20}^{\circ }C$. At what temperature is its resistance equal to ?
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hottchevymanzm
Write the given values with suitable variables.

Here, $\alpha ,{R}_{0},{T}_{0}$, and R are the coefficient of resistivity, initial resistance, initial temperature, and final resistance.
The final resistance of the material can be expressed as
$R={R}_{0}\left(1+\alpha \left(T-{T}_{0}\right)\right)\phantom{\rule{0ex}{0ex}}\left(33\mathrm{\Omega }\right)=\left(30\mathrm{\Omega }\right)\left(1+\left(2×{10}^{-3}{/}^{\circ }C\right)\left(T-{20}^{\circ }C\right)\right)\phantom{\rule{0ex}{0ex}}T={70}^{\circ }C$