Question #306890

A copper wire has a resistance of 𝟏𝟓. 𝟎Ω at a temperature of 14℃. After a




current passes through the windings, the resistance rose to 𝟏𝟐. 𝟓Ω. To what




temperature was the wire heated?

1
Expert's answer
2022-03-07T12:43:37-0500

We know that

R=R0(1+α(T2T1))R=R_0(1+\alpha(T_2-T_1))


15=12.5(1+3.93×103(14T0))15=12.5(1+3.93\times10^{-3}(14-T_0))

1.21=3.93×103(14T0)1.2-1=3.93\times10^{-3}(14-T_0)

50.89=T014T0=64.89°C50.89=T_0-14\\T_0=64.89°C


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