Two cities separated by 10,000 ft is connected by telephone wires whose thermal coefficient of resistance at 25°C is 0.003/CO . If the resistance of the wire at 57°C is 602 Q, what would be its resistance at 25°C?

Two cities separated by 10,000 ft is connected by telephone wires whose thermal coefficient of resistance at 25°C is 0.003/CO . If the resistance of the wire at 57°C is 602 Q, what would be its resistance at 25°C?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 49P: A copper wire has a resistance of 0.500 at 20.0°C and an iron wire has a resistance of 0.525 at the...

See similar textbooks

Related questions

Q: A gold resistance thermometer has a resistance Ro = 70.0Ω at To = 20°C. The temperature coefficient…

A: SOlution: given that Ro = 70.0Ω To = 20°C Temperature coefficient of resistance is 3.4x10-3°C R…

Q: 1.5. The resistance of a platinum wire is found to be 11.000 2 at the ice point, 15.247 N at the…

Q: A wire of diameter 2 mm and conductivity 5x (10) ^7 S/m if an electric field of 4 mV/m is applied.…

Q: It is proposed to have a water heater that consists of an insulated pipe of 7.5-cm diameter and an…

A: The given values are,

Q: A thermometer made of Platinum has a resistance of 50 N at 20 C, what is the measured temperature…

A: Given data: Reference resistance Ro = 50 Ω Reference temperature To = 20 °C Resistance at…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 3.70 A. Assuming the…

A: Write the expression for the time required to bring the water to a boil. Here, Q represents the…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 7.70 A. Assuming the…

Q: A CONDUCTING WIRE OF CROSS-SECTION 0.1 MM^2 CARRIES A CURRENT OF 5A PRODUCED BY AN ELECTRIC FIELD AT…

A: Given data: - The cross-sectional area of the conducting wire is A = 0.1 mm2. The current carried…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 6.2-V battery has a resistance of…

A: Resistance,

Q: The resistance of a wire that is 105 cm long is 20.5 Q. After the temperature change, its resistance…

A: Information Given:- Length of the wire is l=105 cm Initial resistance of the wire is R0=20.5 Ω…

Q: A plane brick wall (k = 0.7 W/m⋅K) is 10 cm thick. The thermal resistance of this wall per unit of…

Q: A cylindrical copper wire has a diameter 4 mm and length 10 cm with a conductivity 5x107 S/m. If an…

Q: A rectangular bar of iron is 2.0 cm by 2.0 cm in cross-section and 40 cm long. Calculate its…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 5.0-V battery has a resistance of…

A: The variation of resistance with temperature is given by,

Q: At 20°C, the carbon resistor in an electric circuit connected to a 5-V battery has a resistance of 2…

A: The resistance of the circuit is

Q: If a 60 W electric heater has a current of 4 A at 20°C, how much resistance will be increase if the…

Q: Resistivity (A-m) 2.65 x 10 Material Aluminum Соpper Gold Iron | 1.68 x 10 244 x 10 9.71 x 10…

Q: Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α…

Q: A toaster has a Nichrome (a-4.5x104 C) heating element that has a resistance of Ro= 80 N at a…

A: Given-Temperature coefficient α=4.5×10-40 C-1Resistance R0= 80 ΩInitial temperature T=200CFinal…

Q: A thermometer made of Platinum has a resistance of 50 N at 20 C, what is the measured temperature…

Q: A 4.5m length of copper wire at 25°C has a radius of 0.30mm if a potential difference of 12.0V is…

A: The resistance of a conductor depends on temperature and is given by the relation R = Ro[1 + αΔT]…

Q: A thermometer made of Platinum has a resistance of 50 2 at 20 C, what is the measured temperature…

A: Given, Resistance (R1)= 50 ohms at 20 degrees Resistance (R2)=78.5 ohms Temperature coefficient of…

Q: 10. An aluminum wire (resistivity at 20°C of 2.65x10-8 2m, temperature coefficient of 0.00429/°C) is…

Q: What is the resistance (in units of Q) of a wire made of a material with a resistivity of 3.2 x 10-8…

A: Given: The resistivity is ρ=3.2×10-8 Ωm. The length is L=10.6 m. The diameter is d=0.50 mm. The…

Q: What is the resistivity (in x 10^-8 ohm -meter) of a material with diameter of 0.70 mm and with…

A: Resistivity is the resistance of an object per unit length and per unit cross sectional area at a…

Q: 1.5. The resistance of a platinum wire is found to be 11.000 N at the ice point, 15.247 2 at the…

A: Given data: R'=R0'1+aθ+bθ2

Q: Which wire will conduct electricity with lesser resistance? a. shorter in length b. larger…

Q: How much would you have to raise the temperature of a copper wire (originally at 20C) to increase…

Q: If a conductor with a current of 500mA passing through it converts 40J of electrical energy into…

Q: When a metal rod is heated, not only its resistance but also its length and cross-sectional area…

A: The linear expansion,

Q: Given the following: Material: -copper Coefficient a (1/°C): -3.9x10^-3 Material: Constantan (Cu,…

Q: A metallic wire with resistance 8Q, cross-sectional area 8.2x10 m, and conductivity a- 5.81x10 o'mis…

A: Write the expression for the current.

Q: An aluminum wire has resistance of 80 ohms at 30 degree Celsius. And determine its resistance when…

A: Given: Initial Resistance of wire (R0) = 80 ohms. Initial Temperature of wire Ti= 300C Final…

Q: Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α…

A: we have ρ(T) =ρ0(1+α∆T)=ρ0(1+αT-20) (a) Also since the temperature on rod varies linearly, the…

Q: In an experiment, the following correspondence was found between temperature T (in °C) and…

Q: Two cities separated by 10,000 ft is connected by telephone wires whose thermal coefficient of…

Q: If 1.85 miles of 24-gauge copper wire has a resistance of 1.47 kΩ and the resistivity of copper is…

A: Given Data: The length of the copper wire is, L=1.85 miles The resistivity of the copper is,…

Q: Calculate the resistance of a copper wire with a diameter of 2.5968 mm having a length of 1000 m at…

A: The resistance of a conductor made of a certain material is directly proportional to the length of…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 7.70 A. Assuming the…

A: Given information: The voltage at which the coffee maker works (V) = 120 V The current it carries…

Q: A current of 44.7 mA flows in a silver wire of diameter 2.55 mm. Find the electric field strength…

Q: The diameter of 0-gauge copper wire is 8.252 mm. Find the resistance of a 1.00-km length of such…

A: Given that , The diameter d = 8.252 mm. Radius r =…

Q: Copper wire has a resistivity ρ = 1.7 × 10-8 Ω⋅m when at 20°C and it has a temperature coefficient α…

Q: If a 60 W electric heater has a current of 4 A at 20°C, what will be the resistance if its…

Q: A piece of resistance wire, 15.6 m long and of cross-sectional area 12 mm² 0 °C, passes a current of…

Q: Two cylindrical copper wires, W, and W, are held at the same temperature. W, is twice as long and…

Q: 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…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 6.0-V battery has a resistance of…

A: Given At 20° C , The voltage supply ,V = 6.0 V Resistance , R = 2.6*102 ohm At 73 ° C , the…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 5.7-V battery has a resistance of…

Q: What is the heat produced in a conductor in 4.3 minutes if there is a current of 1.8 A and a…

Concept explainers

Temperature Variance of Resistance

Electrical resistance or simply resistance is the property of a material that opposes the free flow of electrons through it. The total amount of resistance to the flow of charges (or current) is affected by many factors like the length of the conducting material, its cross-sectional area, resistivity, and temperature.

Question

100%

Two cities separated by 10,000 ft is connected
by telephone wires whose thermal coefficient
of resistance at 25°C is 0.003/CO . If the
resistance of the wire at 57°C is 602 Q, what
would be its resistance at 25°C?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

If the copper wire of an electromagnet has a resistance of 0.300 Ω when at roomtemperature (20 oC) with no current flowing, what is the temperature of the wire when thecurrent is turned on and the resistance increases to 0.347 Ω?
Given the temperature coefficient of resistivity of a certain wire to be 2 x10−3 (°C)−1.By what factor is the resistance of this wire changed when its temperature is increased from 20.0°C to 96.52 °C?
A light bulb, rated 12V drew 0.5A when it reached a temperature of 40 degrees Celsius. It was switched on at a temperature of 25 degree Celsius. What was the current drawn by the lamp at the moment of switching? (Consider the filament as Tungsten with a temp. coefficient of 0.0051 @ 25 degree Celsius). The total length of the filament is 12 inches and cross-sectional area is 100 CM.
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 light bulb, rated 12V drew .5A when it reached a temperature of 40 degrees celsius. It was switched on at a temperature of 25 deg. Celsius. What was the current drawn by the lamp at the moment of switching? (Consider the filament as Tungsten with a temp. coefficient of .0051 @ 25 deg. Celsius). The total length of the filament is 1.5 inches and cross-sectional area is 100 CM.
A copper wire has a resistance of 0.51 Ω at 20.0°C, and an iron wire has a resistance of 0.57 Ω at the same temperature. At what temperature, in degrees Celsius, are their resistances equal? The temperature coefficient of resistivity of copper is 3.9 × 10-3 (°C)-1, while that for iron is 5.0 × 10-3 (°C)-1.
What is the approximate take off latency recorded at 17 cm in a nerve fiber having a conduction velocity of 49 m/s?
By what factor is the resistance of a copper wire changed when its temperature is increased from 20°C to 120°C? The temperature coefficient of resistivity for copper = 3.9 x 10^-3 (°C)^-1.
Calculate the specific conductivity of the conductor in Mega(Ωm)-1 since the current passing through a conductor with a cross-section (1.00nm x 1.00µm), length of 10.00mm, is 1.00mA and the voltage value falling on it is 1.00V.
The wiring in a house must be thick enough so it does notbecome so hot as to start a fire. What diameter must acopper wire be if it is to carry a maximum current of 35 Aand produce no more than 1.5 W of heat per meter of length?
A rectangular block of copper has sides of length 10. cm, 20. cm,and 40. cm. If the block is connected to a 6.0 - V source acrosstwo of its opposite faces, what are (a) the maximum currentand (b) the minimum current the block can carry?
The resistance of a wire is given by R = Ro[1 + (T ? To)] where To= 20 C, Ro = 6 0:3 % is the resistance at 20 C, = 0:004/ C1 % is the temperature coecient of resistance, and the temperatureof the wire is T = 301 C. Determine (a) the normal resistance of thewire and (b) the uncertainty in the resistance of the wire, uR.