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Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it...

Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α = 3.9 × 10-3 K-1. A solid cylinder of copper of length L = 85 cm and diameter D = 2.5 mm has one end held at T1 = 7°C and the other end is held at T2 = 210°C. The temperature increases linearly between the two ends of the cylinder.

Given that T= T1 + ( x/L ) ( T2 - T1 )

Determine the total resistance in milliohms.

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Answer #1

T = T + x 1 T2-T) e dR = 8 da A dR = So (1+2.7) de da felavi* «z (T_T), die (CRL [(+*+ < (6+)) da R = 2 . { i+J + FA L (5--T

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