Question #306890

A copper wire has a resistance of šŸšŸ“. šŸŽĪ© at a temperature of 14ā„ƒ. After a




current passes through the windings, the resistance rose to šŸšŸ. šŸ“Ī©. To what




temperature was the wire heated?

Expert's answer

We know that

R=R0(1+α(T2āˆ’T1))R=R_0(1+\alpha(T_2-T_1))


15=12.5(1+3.93Ɨ10āˆ’3(14āˆ’T0))15=12.5(1+3.93\times10^{-3}(14-T_0))

1.2āˆ’1=3.93Ɨ10āˆ’3(14āˆ’T0)1.2-1=3.93\times10^{-3}(14-T_0)

50.89=T0āˆ’14T0=64.89°C50.89=T_0-14\\T_0=64.89°C


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