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Problem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T = 14°C and the other end is held at T2 = 240°C. The temperature L T T2 increases linearly between the two ends of the cylinder. dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, X Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =

Problem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T = 14°C and the other end is held at T2 = 240°C. The temperature L T T2 increases linearly between the two ends of the cylinder. dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, X Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =

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Problem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T1 = 14°C and the other end is held at T2 = 240°C. The temperature increases linearly between the two ends of the cylinder. L T2 dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, x Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =
Transcribed Image Text:Problem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T1 = 14°C and the other end is held at T2 = 240°C. The temperature increases linearly between the two ends of the cylinder. L T2 dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, x Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =
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