A high-voltage power transmission line is 200 km long, and is constructed of aluminium cable of diameter 30 mm. What is the resistance of this length of cable? (Resistivity of aluminium is 2.8x108 2m.)

A high-voltage power transmission line is 200 km long, and is constructed of aluminium cable of diameter 30 mm. What is the resistance of this length of cable? (Resistivity of aluminium is 2.8x108 2m.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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: The resistance of a thin silver wire is 1.0 32 at 0°C. The wire is placed in a liquid bath and its…

A: Resistance is a measure of the opposition to current flow in an electrical circuit. Here,we…

Q: A 1.3-m long copper wire (resistivity 1.68x108 Q-m) has a resistance of 7 Q. What is the diameter…

Q: What is the resistance (in Ohms) of a wire made of a material with a resistivity of 4.6× 10-8Ω⋅ m if…

A: Given The resistivity of the wire is Ꝭ = 4.6×10-8 Ω.m. The length of the wire is l = 2.9 m. The…

Q: Calculate the ratio of the resistance of 15.0 m of aluminum wire 2.3 mm in diameter, to 30.0 m of…

A: Given: Length of aluminum wire, La=15 m Diameter of aluminum wire, d=2.3 mm…

Q: A taser sends about 1100 V through the human body, resulting in an average current of 2.5 mA. From…

A: Human body acts as an electrical resistance when voltage is applied through it. Because of the…

Q: The length of a 200 m lead wire has a resistance of 1.7 Ω. If the cross section of this wire is 3.0…

A: Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is…

Q: A piece of Nichrome wire has a radius of 5.0x 104 m. It is used in a laboratory to make a heater…

A: Given, For a Nichrome wire the radius of the wire is a=5×10-4m Power dissipates is P=4×102W voltage…

Q: wire 6.60 m long with diameter of 2.05 mm has a resistance of 0.0290 Ohm. What material is the wire…

Q: A certain light bulb has a tungsten filament with a resistance of 13.0 Ω when cold ( 20.0°C ) and…

A: Consider the given data as below. Resistance of the filament, Ro=13.0 Ω Reference temperature,…

Q: A platinum wire has a resistance of 79.6 ohms at 28oC. At what temperature will the resistance of…

A: initial temperature = t1 = 280 c initial resistance = R1 = 79.6 Ohms final temperature = t2 = ?…

Q: The resistivity of silver ρ = 1.61 x 10-8 Ω.m. If you have a length of silver wire that is 3.15 m…

A: the radius of the wire is 241 micro meter.the resistance of the wire is,

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

Q: A wire 6.80 m long with diameter of 2.05 mm has a resistance of 0.0250 Ω. Find the resistivity of…

Q: Two copper wires (call them A and B) both have length 19.0 m but wire A has a radius 7.045 mm and…

Q: A piece of wire has resistance of 1.25 2. The wire is made of a material with resistivity 8.2x10-7…

Q: Calculate the current through a 10.0 m long nichrome wire with a diameter of 0.642 mm if it is…

A: Given data *The length of the nichrome wire is l = 10.0 m *The diameter of the wire is d = 0.642 mm…

Q: What is the resistance of a 3.9 m length of copper wire 1.3 mm in diameter? The resistivity of…

A: The resistance of a wire is given by, R = ρlA Here, ρ is the resiticvity of the…

Q: A wire with resistivity 1.8 x 10-7 Ω m has a resistance of 0.45 Ω and a length of 2.0 m. What is the…

A: Given data: The given resistivity of wire is = 1.8×10-7 ohm-m The value of resistance is R = 0.45…

Q: Two wires have the same resistance and diameter. If the wires are made of silver and copper with…

Q: lông L tungster re if it has a diam 0.137 × 10-3 m and a resistance of 3.41 k2? The resistivity of…

A: GivenDiameter of wire (d)=0.137×10-3 mResistance(R)=3.41×103 ohm Resistivity of Tungsten…

Q: If 1.8 miles of 24-gauge copper wire has a resistance of 0.18 kΩ and the resistivity of copper is…

Q: The temperature coefficient of resistivity for the metal gold is 0.0034 (C°)-1, and for tungsten it…

A: Given αgold=0.0034 (C0)-1 αtungsten=0.0045 (C0)-1∆RRgold=7.9%

Q: resistance of a 25 cm

Q: A conductor having a resistance of 50 ohms has temperature coefficient of resistivity of 4.143x10^-3…

A: According to question we need to find --- What is its resistance when the temperature drops to 20…

Q: High-voltage power lines are a familiar sight throughout the country. The aluminum (resistivity =…

Q: How long is a tungsten wire if it has a diameter of 0.195 x 10-3 m and a resistance of 3.33 k2? The…

Q: A copper wire has a length of 34.0 m and a resistance of 5.00 Q at 20.0°c. Assuming a circular…

A: Given- Length of copper wire l=34 m Resistance R=5Ω The resistivity of copper ρ=1.7×10-8 Ω-m

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

Q: A high voltage wire for transmission of electricity across the country is made of 10 aluminium wires…

Q: The Resistance of a copper wire is 4.32 ohms when it is cross-sectional area is 4.68x10^-7 m². What…

A: Given data: Resistance of copper wire (R) = 4.32 ohms Cross-sectional area (A) = 4.68 × 10-7 m2…

Q: A common flashlight bulb is rated at 0.25 A and 2.5 V (the values of the current and voltage under…

Q: A 25 m wire has a diameter of 1 mm. If the wire has a total resistance of 16 Ω, what is the wire’s…

Q: How long L is a tungsten wire if it has a diameter of 0.173 x 10- m and a resistance of 2.77 k? The…

A: Given that:- The diameter of the tungsten wire is d = 0.173 x 10-3 m. The resistance of the…

Q: A high-voltage power transmission line is 200 km long, and is constructed of aluminium cable of…

A: Given that, Length of the cable (l)= 200 km = 200000 m Diameter (d)= 30 mm = 30× 10-³ m So, radius…

Q: A coil of fine copper wire has a resistance of 6.4-Ω and a total mass is 15.1 g. What is the…

Q: A wire is made of a material with a resis- tivity of 2.97138 x 10-8 2 · m. It has length 2.16443 m…

Q: the 0.145 mm diameter tungsten filament in a light bulb is to have a resistance of 0.185 Ω at…

Q: 2. How long is a wire made from 100 cm' of copper if its resistance is 8.5 ohms? The resistivity of…

A: Given: Volume,V=100cm3=100×10-6m3Resistance,R=8.5ΩResistivity of copper,ρ=1.7×10-5Ωm Electrical…

Q: What is the resistivity of a wire of 5-gauge wire (A = 16.8 x¹0-6 m²), 5.00 m length, and 5.10 m…

A: Given :- Cross sectional area A= 16.8*10-6 m2 Length l = 5m Resistance of wire R = 5.10 mΩ

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 power transmission line is hung from metal towers with glass insulators having a resistance of…

A: Given that resistance is 1.00×109 Ω, and voltage is 200 kV.

Q: At 25°C, the resistance of a segment of gold wire is 59 N. When the wire is placed in a liquid bath,…

A: Given, At (T1)= 25°C resistance of wire is (R1)= 59 ohm. When wire placed in liquid bath( having…

Q: What is the resistance (in Ohms) of a wire made of a material with a resistivity of 4.6× 10-8Ω⋅ m if…

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

13)
A high-voltage power transmission line is 200 km long, and is constructed of aluminium
cable of diameter 30 mm. What is the resistance of this length of cable? (Resistivity of
aluminium is 2.8x10-8 2m.)

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

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

Aluminium is used to make long-distance power lines because it has a low resistivity and is relatively cheap. The resistivity of aluminium is 2.82 10–8 Ω m. What is the resistance (in Ω) per kilometre of aluminium line having a cross sectional area of 1.5 cm2 ?
The resistivity of aluminum is 2.82 X 10* -8 Ω. m. HINT (a) Find the resistance of an aluminum wire (in ohms) with a radius of 1.28 mm and a length of 1.03 m. (b) Calculate the volume (in m) of aluminum in the wire. m3 (c) Suppose that volume of aluminum is formed into a new wire with a length of 2.32 m. Find the new resistance of the wire (in ohms).
A wire 6.20 m long with a diameter of 2.05 mm has a resistance of 0.0290 ohms. What material is the wire most likely made of?
A 1 m long electrically conductive wire made of material X has electrical conductivity of 0.2x107(ohm-m)-1, and end-to-end resistance of 10 ohms. What is the diameter of the wire? 0.15 mm 0.20 mm 0.25 mm 0.30 mm
The resistivity of a 100 m long copper wire is 1.72 x 10-80m. If the cross sectional area of the wire is 6 x 10-6m2, what is its resistance? 0.30 30 30 300
Gold is the most ductile of all metals. For example, 2 gram of gold can be drawn into a wire 2.4 km long. The density of gold is 19.3 x 103 kg/m3, and its resistivity is 2.44 x 10-8 Vm. What is the resistance of such a wire at 20.0°C? 2984 Ohms 1356 Ohms 1356250 Ohms 565Ohms
A 19.5-g sample of nichrome with density 8.400 ✕ 103 kg/m3 is made into a wire 1.45 ✕ 103 m long. If the resistivity of nichrome is 1.000 ✕10−6 Ω · m, what is the resistance of this wire?
The resistance of a coil of copper wire is 3.35 Q at 0°C. What is the resistance at 50°? (copper, a = 4.3 x 10³/C°)
What is the resistivity of a wire of 5-gauge wire (A = 16.8 x10-6 m²), 5.00 m length, and 5.10 m resistance?
A wire of diameter 0.550 mm and length 45.0 m has a measured resistance of 2.80 Ω. What is the resistivity of the wire?
How long is a tungsten wire if it has a diameter of 0.179 x 10-3m and a resistance of 2.63 k2? The resistivity of tungsten is 5.62 x 10-* 2-m. length of the wire:
Whale and Kanmuro are two islands located in the Chimera archipelago. These two are separated by a distance of 20 miles. A power link is to be established between them. The power link delivers a maximum power of 546 megawatts at full capacity with an operating voltage of 443 kilovolts. Note that 1 mile is 1.6 kilometers. Solve for the resistivity (in ohm-micrometers) of the cable assuming a conductor diameter of 1.50 centimeters. Express Answer into FOUR decimal places.