Question 3: A platinum resistance thermometer is a device that allows us to determine the temperature by measuring the resistance of a piece of pure platinum wire. In the interval between the freezing point of water and 700.0°C, the relationship between the resistance and the Celsius temperature Tc is accurately captured by the formula R = Ro (1 + A Tc+ B (Tc)²) where A and B are constants determined by measurements at the ice point of water, the steam point of water, and the melting point of zinc (419.514°C). (a) If R equals 10.000 ohms at the freezing point of water, 13.946 ohms at the boiling point of water, and 24.174 ohms at the melting point of zinc, find RO, A, and B (b) If the resistance is measured to be 17.7 ohms, what is the temperature? (c) Plot R versus Tc in the range from 0°C to 700.0°C.

Copper wire has a resistivity p = 1.7 × 10-8 ∙m when at 20°C and it has a temperature coefficient a = 3.9 × 10-³ K-¹. A solid cylinder of copper of length L = 45 cm and diameter D = 1.5 mm has one end held at T₁ = 15°C and the other end is held at T2 = 280°C. The temperature increases linearly between the two ends of the cylinder. T₁ dx L T₂ 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. Determine the total resistance in milliohms.

Given the following: Material: -copper Coefficient a (1/°C): -3.9x10^-3 Material: Constantan (Cu, Ni, alloy) Coefficient a(1/°C): -0.002x10 Suppose you want to double a copper‘s wires resistance. To what temperature, in degrees Celsius, must you raise it if it is originally at 18°C, neglected any changes and dimensions?

A length of aluminum wire has a resistance of 30.0 Ωat 20.0°C. When the wire is warmed in an oven and reaches thermal equilibrium, the resistance of the wire increases to46.2 Ω. (a) Neglecting thermal expansion, find the temperatureof the oven. (b) Qualitatively, how would thermal expansionbe expected to affect the answer?

how is the answer e?

2.1 A piece of wire l cm long carries a current I when a voltage V is applied across its ends at a temperature of 0°C. If the resistivity of the material of which the wird is made varies as shown in the figure, what length of the same diameter wire is needed so that the same current flows when the same voltage is applied at temperature 400°C? 12 10 8. 2. 01 200 400 600 800 1000 Temperature ("C) Resistivity (10 2m)

The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law :R = Ro [1 + α (T – To )]The resistance is 101.6 Ω at the triple-point of water 273.16 K, and 165.5 Ω at the normal melting point of lead (600.5 K). What is the temperature when the resistance is 123.4 Ω?

A certain laboratory experiment requires an aluminum wire of length of 23.0 m and a resistance of 2.20 at 20.0°C. What diameter wire must be used? (The resistivity of aluminum at 20.0°C is 2.82 x 10-8. m.) Enter a number. differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm

An aluminum rod has a resistance of 1.585 2 at 23.0°C. Calculate the resistance of the rod at 136.00°C by accounting for the changes in both the resistivity and the dimensions of the rod. Round your answer to the nearest thousandth and write it in the answer section. For aluminum: Temperature resistance coeff. ¤f = 3.90 X 10-3 °C-1, length expansion coeff. a = 24.0 X 10-6 °C-1.

The resistance in a certain wire is R = 50.0+ 0.06072. If 7 is measured to be 50.3°F with a possible error of ±3°F, use differentials to find the approximate maximum error (in (2) and percentage error in R. (Round your answers to two decimal places.) maximum error percentage error Ω %