Resistance in metals increases with increasing temperature according to the equation, ρ(T) = ρo(1 + α(T - To)) where α is the temperature coefficient of resistivity and ρo is the resistivity at temperature To. For a particular wire α = 1.5 × 10-3 1/°C and the resistivity is ρo = 8.5 × 10-7 Ω⋅m at To = 125 °C.
Resistance in metals increases with increasing temperature according to the equation, ρ(T) = ρo(1 + α(T - To)) where α is the temperature coefficient of resistivity and ρo is the resistivity at temperature To. For a particular wire α = 1.5 × 10-3 1/°C and
The temperature coefficient of resistance α in equation R(T)=R0[1+α(T−T0)] equals the temperature coefficient of resistivity α in equation ρ(T)=ρ0[1+α(T−T0)] only if the coefficient of thermal expansion is small. A cylindrical column of mercury is in a vertical glass tube. At 20 ∘C, the length of the mercury column is 12.0 cm. The diameter of the mercury column is 1.6 mm and doesn't change with temperature because glass has a small coefficient of thermal expansion. The coefficient of volume expansion of...
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 )...
Copper wire has a resistivity ρ =1.7 x 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 = 55 cm and diameter D = 2.5 mm has one end held at T1 = 0℃ and the other end is held at T2 =220 ℃. The temperature increases linearly between the two ends of the cylinder. Part (a) Consider a thin slice of the copper cylinder of thickness...
Learning Goal: Examine the dependence of resistivity and resistance of a wire on temperature and how it affects the potential difference across the terminals of the wire. Introduction: A current of 65 milli-amperes (mA) flows through a wire of length L= 1.7 meters long and diameter of d= 1.15 millimeters at a temperature of T0= 20 °C; the wire's resistivity at this temperature is ρ0= 5.33×10−8 Ω ∙ m. The temperature coefficient of resistivity of the material is α= 4.6×10−3/C°....
The temperature coefficient of resistivity for the metal gold is 0.0034 (C°)-1, and for tungsten it is 0.0045 (C°)-1. The resistance of a gold wire increases by 7.2 percent due to an increase in temperature. For the same increase in temperature, what is the percentage increase in the resistance in a tungsten wire?
Please, no referring. A 100-W lightbulb has a resistance of about 12 Ω when cold (20 ∘C) and 136 Ω when on (hot). Estimate the temperature of the filament when hot assuming an average temperature coefficient of resistivity α=0.0045(C)−1.
(a) The resistance of a RTD, RT, at a given temperature T is given by the following equation: RT = R0 (1 + αT) where R0 is the resistance of the RTD at the reference temperature 0°C, α is the temperature coefficient at 0 °C. It is found that the resistance of the RTD are 130 Ω and 150 Ω at 10°C and at 50°C respectively. Calculate: (i) the temperature coefficient a, and (ii) the resistance of the RTD at 0°C, R0.(b) The RTD in part...
Now let’s see how temperature affects the resistance of copper wire. A length of 18 gauge copper wire with a diameter of 1.02 mm and a cross-sectional area of 8.20×10−7 m2 has a resistance of 1.02 Ω at a temperature of 20 ∘C. Find the resistance at 0 ∘C and at 100 ∘C. The temperature coefficient of resistivity of copper is 0.0039 (C∘)−1. On a hot summer day in Death Valley, the resistance is 1.15 Ω. What is the temperature?
13. The resistivity of aluminum at 25 'C has been measured to be 2.72 x 10-8 0 m. The thermal coefficient of resistivity of aluminum at 0 C is 4.29 x 10-3 K-1. Aluminum has a valency of 3, a density of 2.70 g cm3, and an atomic mass of 27 a. Calculate the resistivity of aluminum at-40°С. (Ans: 2.03 x 103 Ω m) b. What is the thermal coefficient of resistivity at-40'C? (Ans: 5.23x 103K c. Estimate the mean...
A 62.5 m length of insulated copper wire is wound to form a solenoid of radius 2.3 cm. The copper wire has a radius of 0.51mm. (Assume the resistivity of copper is ρ = 1.7 ✕ 10−8 Ω · m.) (a) What is the resistance of the wire? Ω (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? turns (c) How long is the resulting solenoid? m (d) What is...