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?

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?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 46P: An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C...

See similar textbooks

Similar questions

An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C contains pure carbon resistors. By what factor does their resistance increase over this range?
Resistors are commonly rated at 18W,14W,12W ,1 W and 2 W for use in electrical circuits. If a current of1 = 2.00 A is accidentally passed through a R=1.00 resistor rated at 1 W, what would be the most probable outcome? Is there anything that can be done to prevent such an accident?
The resistance of a carbon resistor at 20°C is 18 Ω. What would be the resistance at 120o C? (The coefficient of variation of resistance with temperature for carbon is -5.10-4/oC)
A wire 3.00 m long and 0.450 mm2 in cross-sectional area has a resistance of 41.0 Ω at 20°C. If its resistance increases to 41.4 Ω at 29.0°C, what is the temperature coefficient of resistivity?
The temperature coefficient of platinum is 3.9×10-3/C°. If a platinum wire has a resistance of R at room temperature (25°C), to what temperature (in °F) must it be heated in order to double its resistance to 2R?
A copper wire whose resistivity is 0.0043/°C at 0°C has its resistance increases by 25% of its initial value at 20°C. What is the operating temperature?
A copper (resistivity = 1.72 EXP-8 Ω.m) conductor with a square cross section, 1.0 mm on a side is 100 m long and is initially 20oC. 1. If the temperature coefficient (a) of copper is 0.00393 per degree Celsius, what is the change in resistance of the copper conductor if the temperature is increased to 100 degrees Celsius? 2. What is the resistance of this conductor?
Resistivity in metals increases with temperature according to the equation: ρ(T) = ρ0[1 + α(T - T0)] where α is the temperature coeficcient of restivity, and ρ0 is the restivity at the reference temperature T0. For a particular wire, the temperature coeficcient of restivity is α = 3.83 X 10-3 °C-1, and the restivity is ρ0 = 7.71 X 10-7 Ωm at the reference temperature T0 = 297°C. Find an expression for the temperature T2, at which the resistance of a particular wire will be twice as high as it is at the reference temperature T0. (Both temperatures are in degrees Celsius) Use this expression to find the temperature in degrees Celsius for T2. If the wire has a length of 1.00m and it has a circular cross section with a radius of 1.00cm, what is the resistance in ohms, at a temperature which is twice the reference temperature, T = 2T0 ?
Suppose at 70°C the resistance of a platinum resistance thermometer is 170 Ω. When placed in aparticular solution, the resistance is 7+100 Ω. What is the temperature of this solution?Temperature Coefficient of resistivity for platinum is 3.93 x 10-3 1/ 0 C.
A conductor has a diameter of 2.59 mm. How many meters of this material are needed to yield a resistance of1Ω. The resistivity of the conductor is 1.77x10−8Ω.?.
If a current of 5A flows through a conductor with a resistance of 7 ohms for 3 minutes, how many electrons pass through any section of the conductor during this time? (Find the factor x10^21)
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 = 9.5 × 10-3 1/°C and the resistivity is ρo = 4.5 × 10-7 Ω⋅m at To = 154 °C. a). Input an expression for the temperature T2 at which the resistance of a wire will be twice as high as at T0. b). If the wire is L = 1 m long with a radius of r = 1 cm, what is its resistance R, in Ω, at 2To?