PHYSICS:F/SCI.+ENGRS.,V.1
PHYSICS:F/SCI.+ENGRS.,V.1
10th Edition
ISBN: 9781337553575
Author: SERWAY
Publisher: CENGAGE L
bartleby

Concept explainers

Question
100%
Book Icon
Chapter 26, Problem 1P
To determine

The number of years does one electron takes to travel the full length of the cable.

Expert Solution & Answer
Check Mark

Answer to Problem 1P

The number of years that takes one electron to travel the full length of the cable is 27.0yr .

Explanation of Solution

Given information: Length of the high voltage transmission line is 200km , diameter of the transmission line is 2.00cm , steady current is 1000A , the number of electrons per unit volume is 8.50×1028electrons/m3 .

Explanation:

Write the expression for the area of cross section of a conductor.

A=π4d2

Here,

A is the area of cross section of a conductor.

d is the diameter of the transmission line.

Substitute 2.00cm for d in equation (1) to find A ,

A=π4(2.00cm×1m100cm)2=3.14×104m2

Thus, the area of cross section of a conductor is 3.14×104m2 .

Formula to calculate the drift velocity of a conductor.

I=neAVdVd=IneA (2)

Here,

Vd is the drift velocity of a conductor.

n is the number of electrons per unit volume.

I is the steady current.

e is the charge of one electron.

The value of charge of one electron is 1.6×1019C .

Substitute 1000A for I , 8.50×1028electrons/m3 for n , 1.6×1019C for e , 3.14×104m2 for A in equation (2) to find Vd ,

Vd=1000A(8.50×1028electrons/m3)×(1.6×1019C)×(3.14×104m2)=2.34×104m/s

Thus, the drift velocity of a conductor is 2.34×104m/s .

Formula to calculate the number of years that takes one electron to travel the full length of the cable.

T=DVd (3)

Here,

T is the number of years that takes one electron to travel the full length of the cable.

D is the length of the high voltage transmission line.

Substitute 200km for D , 2.34×104m/s for Vd in equation (3) to find T ,

T=200km×1000m1km2.34×104m/s=8.54×108s×1yr(365×24×60×60)s=27.0yr

Thus, the number of years that takes one electron to travel the full length of the cable is 27.0yr .

Conclusion:

Therefore, the number of years that takes one electron to travel the full length of the cable is 27.0yr .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A golf club hits a golf ball and the golf ball’s flight reaches a maximum height of 5.48 m. Calculate the momentum of the golf ball at the maximum height if the mass of the golf ball is 0.459 kg.
• Superposition Theorem • Thevenin's and Norton's Theorem 1. Find the unknown voltage V₁, unknown resistances R1 and R2, and currents flowing through R1 and R2 for the circuit shown below using Superposition Theorem. 40 V + R₁₂ w B C ♥16A 10A www 4A F ww 2 E Ꭰ 2. Use Thevenin's Theorem to find the current flowing in 3-ohm resistor and its power dissipation from the circuit shown in the right. + 3. Use Norton's Theorem for the same instruction as for No. 2. 8 V A www 202 B wwww 20 Ω 10 V + 302 202 www C - 12 V 502 www.
Fill in blanks

Chapter 26 Solutions

PHYSICS:F/SCI.+ENGRS.,V.1

Ch. 26 - The quantity of charge q (in coulombs) that has...Ch. 26 - A Van de Graaff generator (see Problem 24)...Ch. 26 - An electric current in a conductor varies with...Ch. 26 - Prob. 10PCh. 26 - An electric heater carries a current of 13.5 A...Ch. 26 - You are working at a company that manufactures...Ch. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - An aluminum wire with a diameter of 0.100 mm has a...Ch. 26 - Plethysmographs are devices used for measuring...Ch. 26 - At what temperature will aluminum have a...Ch. 26 - You are working in a laboratory that studies the...Ch. 26 - Assume that global lightning on the Earth...Ch. 26 - The Van de Graaff generator, diagrammed in Figure...Ch. 26 - A 100-W lightbulb connected to a 120-V source...Ch. 26 - The potential difference across a resting neuron...Ch. 26 - The cost of energy delivered to residences by...Ch. 26 - Residential building codes typically require the...Ch. 26 - Assuming the cost of energy from the electric...Ch. 26 - An 11.0-W energy-efficient fluorescent lightbulb...Ch. 26 - A 500-W heating coil designed to operate from 110...Ch. 26 - Why is the following situation impossible? A...Ch. 26 - Make an order-of-magnitude estimate of the cost of...Ch. 26 - Lightbulb A is marked 25 W 120 V, and lightbulb B...Ch. 26 - One wire in a high-voltage transmission line...Ch. 26 - You are working with an oceanographer who is...Ch. 26 - A charge Q is placed on a capacitor of capacitance...Ch. 26 - An experiment is conducted to measure the...Ch. 26 - Prob. 39APCh. 26 - Prob. 40APCh. 26 - Review. An office worker uses an immersion heater...Ch. 26 - The strain in a wire can be monitored and computed...Ch. 26 - A close analogy exists between the flow of energy...Ch. 26 - The dielectric material between the plates of a...Ch. 26 - Review. A parallel-plate capacitor consists of...Ch. 26 - Prob. 46APCh. 26 - Why is the following situation impossible? An...Ch. 26 - Prob. 48CPCh. 26 - A spherical shell with inner radius ra and outer...Ch. 26 - Material with uniform resistivity is formed into...
Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
University Physics Volume 2
Physics
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Text book image
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning