The resistance of the sample is [tex]682.5\Omega[/tex]
Explanation:
The relationship between resistance of a material and temperature is given by the equation
[tex]R(T)=R_0(1+\alpha (T-T_0))[/tex]
where
[tex]R_0[/tex] is the resistance at the temperature [tex]T_0[/tex]
[tex]\alpha[/tex] is the temperature coefficient of resistance
For the sample of nickel in this problem, we have:
[tex]R_0 = 525 \Omega[/tex] when the temperature is [tex]T_0 = 20^{\circ}C[/tex]
While the temperature coefficient of resistance of nickel is
[tex]\alpha = 0.006/^{\circ}C[/tex]
Therefore, the resistance of the sample when its temperature is
[tex]T=70^{\circ}C[/tex]
is
[tex]R=(525)(1+0.006(70-20))=682.5 \Omega[/tex]
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