If the copper wire used to carry telegraph signals has a resistance of 10 ohms for every mile of wire, then what is the diameter of the wire. (Given: 1609 m = 1 mile. Resistivity of Cu = 1.7 x 10-8 ohm•m )

If the copper wire used to carry telegraph signals has a resistance of 10 ohms for every mile of wire, then what is the diameter of the wire. (Given: 1609 m = 1 mile. Resistivity of Cu = 1.7 x 10-8 ohm•m )

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter17: Current And Resistance

Section: Chapter Questions

Problem 21P

See similar textbooks

Related questions

Q: If the 0.185 mm diameter tungsten filament in a light bulb is to have a resistance of 0.103 Ω at…

A: Given data: Diameter (d) = 0.185 mm = 0.185×10-3 m Resistance (R) = 0.103 Ω Resistivity (ρ) =…

Q: When measuring a potential difference of 10 volts, how much current is drawn by a voltmeter with 10…

A: Formula of current drawn by a voltmeter is as follows; I=VRv…

Q: Gold is the most ductile of all metals. For example, one gramof gold can be drawn into a wire 2.40…

A: The density of the gold,

Q: A 200-m length of copper wire has a resistance of 2.0 ohms and a resistivity of 1.72 x 10-8…

A: Length of copper wire L = 200 m Resistance of copper wire R = 2 Ω Resistivity of copper wire ρ =…

Q: The length per unit resistance of copper wire has a value of 7.63 mm per ohm for a diameter of 1,450…

A: Given that length of the copper wire is 7.63mm and diameter of the copper wire is 1.450mm and…

Q: Calculate the resistivity of a wire 16 m long, if its cross–sectional area is 1.6 mm2 and its…

Q: Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.38…

A: The volume of a material is calculated by using the formula V=mρ , where m=0.001 kg is the mass and…

Q: Calculate the resistance of 100-m wire having a cross-sectional area of 0.1mm^2 and made of manganin…

Q: tungsten filament of a lamp has a cross-sectional area of 5 x 10−9?2 , how long must it be

A: This question is based on 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: You touch a defective appliance while standing on the ground, and you feel the tingle of a 2.5-mA…

Q: Calculate the length of a certain metal wire of diameter 0.15mm is needed for the wire to have a…

A: The resistance of the material of the conductor is

Q: The length and area of a wire is given 0.2m and 0.5 m^2 respectively. The resistance of heat wire is…

A: Given data, Resistance (R)=3 Ω Length (L)=0.2 m Area (A)=0.5 m2

Q: A given copper wire has a resistance of 5.14 2 at 20.0°C while a tungsten wire of the same diameter…

A: Write the expression for resistance for tungsten and copper and equate to find the temperature at…

Q: - 44. What is the resistance of an aluminum wire of length 10 m and cross-sectional area of 0.002 m²…

A: length = l = 10 m area = A = 0.002 m2 resistivity = 2.65X10-8X 100.002= 2.65 x 10-8 ohm-m

Q: A copper wire has a resistance of 0.500 Ω at 20.0ºC , and an iron wire has a resistance of 0.525 Ω…

A: Given that, Resistance of copper wire is Rc=0.500 Ω at T0 = 20 oC Resistance of iron wire is…

Q: Find the resistance(in the unit of Ohm) of a Nichrome rod of diameter d=5 mm and has a length L=8 m…

Q: A certain laboratory experiment requires an aluminum wireof length of 32.0 m and a resistance of…

Q: When measuring a potential difference of 10 volts, how much current is drawn by a voltmeter with 10…

Q: At 20° C, 33 meters of copper wire has a resistance of 0.639 ohms. What is the resistance of 165…

A: resistance R ρ = Resistivity L = length A = Cross sectional Area

Q: What is the resistance (in units of N) of a wire made of a material with a resistivity of 3.2 x 102.…

Q: The resistivity of copper ρ = 1.69 x 10-8 Ω.m. What length of copper in a cylinder of diameter of…

A: Write the expression for resistance.

Q: Find the cross-sectional area of the copper wire that has a resistance of 2.15 mQ and 250 m long…

Q: Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.35…

Q: If the 0.130 mm diameter tungsten filament in a light bulb is to have a resistance of 0.100 Ω at…

Q: Find the resistance of a cubic centimetre of copper (i) when it is drawn into a wire of diameter…

A: The resistance of a wire of length l, cross-sectional area A, and specific resistance ρ, is given…

Q: A coil of copper wire has a resistance of 62 Ω at room temperature of 24 °C. What will be its…

Q: If the 0.180 mm diameter tungsten filament in a light bulb is to have a resistance of 0.176 Ω at…

Q: A certain lightbulb has a tungsten filament with a resistance of 21.7 2 when at 20.0°C and 144 2…

A: Given : resistance of tungsten filament at 20 °C, R20 = 21.7 Ω Resistance of tungsten filament at…

Q: Given that copper's temperature coefficient of resistivity is about 3.9 × 10-3 °C-', to what…

A: Answer Temperature = 256.41 No

Q: What is the temperature coeeficient of resistance of a piece of wire having a resistance of 11.56…

A: The resistance and temperature relation is R2=R11+αT2-T1…

Q: The thermal coefficient of resistivity of iron is alpha = 5.0 x 10 ^ (- 3 / ° C), that of carbon is…

A: Given data The thermal coefficient of resistivity of iron αi=5×10-3/°C. The thermal coefficient of…

Q: f a certain silver wire has a resistance of 10.00 Ω at 15.0°C, what resistance will it have at…

A: Given- Resistance R0= 10.00 ΩTemperature difference ∆T =290C-150C=140CWe haveThe temperature…

Q: Three wires of cross sectional area 3mm2, 4mm2 and 5mm? are made up of the same material and have…

A: Electric resistance is the property of an electric component to oppose the current to pass through…

Q: A metal wire has a resistance of 10.0 l at a temperature of 20.0 ° C . If the same wire has a…

A: In the ques it is given that the resistance of wire is 10 Ω at 20°Cand 10.6 Ω at 90°C .

Q: Determine the overall resistance of a 100-meter length of 14 AWA (0.163 cm diameter) wire made of…

A: Given, Length of wire,L=100 m Diameter of wire,d=0.163 cm=1.63×10-3m…

Q: Gold is the most ductile of all metals. For example, 2 gram of gold can be drawn into a wire 2.4 km…

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

A: In this problem, resistance (R1) of the thermometer at temperature (T1) is given and temperature (T2…

Q: Find the resistancefin the unit of Ohm) of a Nichrome rod of diameter d-3 mm and has a length L-9m…

Q: Find the resistance(in the unit of Ohm) of a Nichrome rod of diameter d=3 mm and has a length L-9 m…

Q: What is the resistance of a 10.0-meter-long copper wire having a cross-sectional area of 1.50 x 10 6…

A: Given data: A copper wire Length (L) = 10.0 m Cross sectional area (A) = 1.50×10-6 m2 Temperature…

Q: Two wires of equal length, one of aluminium and the other of iron, have the same resistance. Which…

A: Since the relative density of aluminium is less than that of iron, the mass of aluminium wire of the…

Q: What is the resistance (in units of 0) of a wire made of a material with a resistivity of 3.2 x 10-8…

A: What is the resistance of a wire made of a material with a resistivity of 3.2* 10-8 m. if its…

Q: The resistance of a coil of copper wire is 3.35 Q at 0°C. What is its resistance at 50°C. For copper…

Q: If a certain silver wire has a resistance of 9.00 Ω at 40.0°C, what resistance will it have at…

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

A: Given data: Diameter of copper wire is, d=2.5968 mm=2.5968×10-3 m. Length of copper wire is, L=1000…

Q: If the 0.100-mm-diameter tungsten filament in a light bulb is to have a resistance of 0.200Ω at 20.0…

A: diameter of tungsten (d) = 0.10 mm Radius of the bulb (r) = 0.05 mmResistance of the bulb (R) =…

Q: Calculate the electric resistance of a gold wire 1.2 mm in diameter and 17 m long if its resistivity…

Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Equation to find the resistance.

VIEW

Calculation

VIEW

Trending now

This is a popular solution!

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

Calculate the resistivity of a wire 16 m long, if its cross–sectional area is 1.6 mm2 and its electric resistance is 1.25 Ω.
If the 0.145 mm diameter tungsten filament in a light bulb is to have a resistance of 0.185 Ω at 20.0°C, how long should it be? The resistivity of tungsten at 20.0°C is 5.60 10-8 Ω · m
Given the temperature coefficient of resistivity of a certain wire to be 3.1 x10−3 (°C)−1.By what factor is the resistance of this wire changed when its temperature is increased from 20.0°C to 79.48 °C?
The resistivity of copper ρ = 1.69 x 10-8 Ω.m. What length of copper in a cylinder of diameter of 523 μm would be required to give you a resistance of 10.0 Ω?
Calculate the resistance of a copper wire with a diameter of 2.5968 mm having a length of 1000 m at 20°C. The resistivity of copper is 1.7x10^-8 and the temperature coefficient of copper is 3.9x10^-3
A 200-m length of copper wire has a resistance of 2.0 ohms and a resistivity of 1.72 x 10-8 ohm-meter. Its cross-sectional area is
A piece of graphite has a cross-sectional area of 10 mm^2. If its resistance is 0.1 Ω and its resistivity 10×10^8 Ω m, its length is ________.
A copper wire has a resistance of 0.480 Ω at 20.0°C, and an iron wire has a resistance of 0.519 Ω at the same temperature. At what temperature are their resistances equal? The temperature coefficient of resistivity for copper is 3.90 10-3(°C)−1 and for iron it is 5.00 10-3(°C)−1. _____°C
Calculate the resistivity of a material of a wire 10 m long. 0.4 mm in diameter and having a resistance of 2.0 Q.
Gold is the most ductile of all metals. For example, one gramof gold can be drawn into a wire 2.40 km long. The density ofgold is 19.3 x 103 kg/m3, and its resistivity is 2.44 x 10-8 Ω ⋅ m.What is the resistance of such a wire at 20.0°C?
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 temperature coefficient of resistance of a piece of wire having a resistance of 11.56 Ω at 25°C and 10.22 Ω at 0°C? What will be its resistance at 50°C?