FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 26, Problem 4P
The (United States) National Electric Code, which sets maximum safe currents for insulated copper wires of various diameters, is given (in part) in the table. Plot the safe current density as a function of diameter. Which wire gauge has the maximum safe current density? (“Gauge” is a way of identifying wire diameters, and 1 mil = 10−3 in.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Wire gauge is a measure of the the cross-sectional area of a wire. A 14 gauge
speaker wire made of copper has a diameter of 0.06408 inches. Calculate the
resistance of a 8.8 ft speaker wire, with at least 2 significant digits. The resistivity of
copper is 1.68E-8 Q - m.
Answer:
An 18 gauge copper wire (diameter 1.02 mm) carries a current with a current density of 2.90×10^6 A/m2. The density of free electrons for copper is 8.5×10^28 electrons per cubic meter.
Calculate the current in the wire.
Express your answer with the appropriate units.
Calculate the magnitude of the drift velocity of electrons in the wire.
Express your answer with the appropriate units.
A copper wire with 4mm diameter, 2.0m length carries 6.0 ampere of current. Free electron density of copper is 8.5x10^28(1/m^3), resistivity of copper is ρ=1.6x10^-6 Ωcm.
Find followings,
A- Current density,
B- Electrical field,
C- Free electron drift velocity,
D- Wasted energy as heat.
Chapter 26 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 26 - The following table give the lengths of three...Ch. 26 - Three wires, of the same diameter, are connected...Ch. 26 - During the 4.0 min a 5.0 A current is set up in a...Ch. 26 - An isolated conducting sphere has a 10 cm radius....Ch. 26 - A charged belt, 50 cm wide, travels at 30 m/s...Ch. 26 - The United States National Electric Code, which...Ch. 26 - SSM WWW A beam contains 2.0 108 doubly charged...Ch. 26 - A fuse in an electric circuit is a wire that is...Ch. 26 - Prob. 8PCh. 26 - The magnitude Jr of the current density in a...
Ch. 26 - The magnitude J of the current density in a...Ch. 26 - What is the current in a wire of radius R = 3.40...Ch. 26 - Near Earth, the density of protons in the solar...Ch. 26 - Prob. 13PCh. 26 - A human being can be electrocuted if a current as...Ch. 26 - SSM A coil is formed by winding 250 turns of...Ch. 26 - Copper and aluminium are being considered for a...Ch. 26 - Prob. 17PCh. 26 - SSM What is the resistivity of a wire of 1.0 mm...Ch. 26 - Prob. 20PCh. 26 - ILW A common flashlight bulb is rated at 0.30 A...Ch. 26 - Kiting during a storm. The legend that Benjamin...Ch. 26 - Prob. 23PCh. 26 - SSM ILW A wire with a resistance of 6.0 is drawn...Ch. 26 - SSM WWW Two conductors are made of the same...Ch. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 33PCh. 26 - A certain brand of hot-dog cooker works by...Ch. 26 - Thermal energy is produced in a resistor at a rate...Ch. 26 - SSM A 1220 V potential difference is applied to a...Ch. 26 - ILW An unknown resistor is connected between the...Ch. 26 - A student kept his 6.0 V, 7.0 W radio turned on at...Ch. 26 - SSM ILW A 1250 W radiant heater is constructed to...Ch. 26 - A copper wire of cross-sectional area 2.00 106 m2...Ch. 26 - A heating element is made by maintaining a...Ch. 26 - Exploding shoes. The rain-soaked shoes of a person...Ch. 26 - A 100 W lightbulb is plugged into a standard 120 V...Ch. 26 - GO The current-density magnitude in a certain...Ch. 26 - A 120 V potential difference is applied to a space...Ch. 26 - SSM A Nichrome heater dissipates 500 W when the...Ch. 26 - Prob. 56PCh. 26 - An 18.0 W device has 9.00 V across it. How much...Ch. 26 - An aluminum rod with a square cross section is 1.3...Ch. 26 - A cylindrical metal rod is 1.60 m long and 5.50 mm...Ch. 26 - The chocolate crumb mystery. This story begins...Ch. 26 - SSM A steady beam of alpha particles q = 2e...Ch. 26 - A resistor with a potential difference of 200 V...Ch. 26 - A 2.0 kW heater element from a dryer has a length...Ch. 26 - cylindrical resistor of radius 5.0 mm and length...Ch. 26 - A potential difference V is applied to a wire of...Ch. 26 - The headlights of a moving car require about 10 A...Ch. 26 - A 500 W heating unit is designed to operate with...Ch. 26 - How much electrical energy is transferred to...Ch. 26 - A caterpillar of length 4.0 cm crawls in the...Ch. 26 - A steel trolley-car rail has a cross-sectional...Ch. 26 - A coil of current-carrying Nichrome wire is...Ch. 26 - Prob. 74PCh. 26 - A certain x-ray tube operates at a current of 7.00...Ch. 26 - A current is established in a gas discharge tube...
Additional Science Textbook Solutions
Find more solutions based on key concepts
(II) Suppose in Fig. 24–23 that C1 = C2 = C3 = 16.0 μF and C4 = 28.5 μF. If the charge on C2 is Q2 = 12.4 μC, d...
Physics for Scientists and Engineers with Modern Physics
Fill in the algebraic steps to derive the Sackur-Tetrode equation (2.49)
An Introduction to Thermal Physics
The changes in clear water when a drop of green ink falls into it. Also mention about its entropy.
College Physics: A Strategic Approach (3rd Edition)
How would Figure 10.13 change if the temperature of the gas were increased? FIGURE 10.13 The Maxwell velocity d...
MODERN PHYSICS (LOOSELEAF)
Description of Motion:
Tutorials in Introductory Physics
the gravitational potential energy of the textbook-Earth system relative to the floor.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
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
- Q.no.6: The (United States) National Electric Code, which sets maxi-mum safe currents for insulated copper wires of various diameters, is given (in part) in the table. Plot the safe current density as a function of diameter. Which wire gauge has the maximum safe current density? (“Gauge” is a way of identifying wire diameters, and 1 mil = 10–3in.)arrow_forwardA student woants to identify the Resistivity of a conducting wire of unknown material. Resistivity is a property of a material that quantifies how strongly it conducts electric current, and it is formulated as, of p= R4 where R is the Resistance (ohms), A cross-sectional area (meters-squared) and I is the length (meters) of the wire. The student runs an experiment on a cylindrical wire of a length l of 2 centimeters and the cross- sectional area A of the wire is 6.1 centimeters-squared. The measurements of the Current is as below Dataset Voltage (Applied, Volts) Current (Measured, Amperes)arrow_forwarda current 2A flows in a copper wire over a length of 3 km and 1,1 mm.known copper conductivity is 5.8×10^7 A/V defined the voltage drop in the missing wires and electrical chargearrow_forward
- A metal object having a length (10m), cross section area (0.5 mm²), and resistance (0.52) is connected to a potential difference source of 5V at room temperature. If the density of free electrons equals (8x1025 electron/m³), Calculate the current through the object.arrow_forwardQ1/ A piece of resistance wire, 15.6 m long and of cross-sectional area 12 mm? at temperature of 0°C, passes a current of 7.9 A when connected to d.c. supply at 240 V. Calculate (a) resistivity of the wire, (b) the current which will flow when the temperature rises to 55 °C. The temperature coefficient of the resistance wire is 0.00029 / °C.arrow_forwardsq 4. Maximum surface resistance. Consider a square sheet of side L, thickness d, and electrical resistivity p. The resistance measured between opposite edges of the sheet is called the surface resistance: R = pL/ Ld = p/d, which is independent of the area of the sheet. (R is called the resistance per square and is expected in ohms per square, because p/d has the dimensions of ohms.) If we express p by p=m/ne²t, then Rq=m/ndet. Suppose now that the minimum value of the collision time is determined by scattering from surfaces of the sheet, so that Td/v, where v is the Fermi velocity. Thus the maximum surface resistivity is Rmvp/nd²e². Show for a monatomic metal sheet one atom thickness that sq Rħ/e² = 4.1k, where lkn is 10³ ohms. sqarrow_forward
- An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.195 V/m imposed along its entire length. The temperature of the wire is 45.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in S2. m) of aluminum at this temperature. (b) What is the current density (in MA/m2) in the wire? MA/m2 (c) What is the total current (in mA) in the wire? I = mAarrow_forwardof 20.0°C and satisfies the equation p = Po[1 + a(T - T)], where po is the resistivity of = 20.0°C. Suppose the coefficients were given the symbol B and were based on a T, of 0°C, so that they satisfied the equation p = Po*[1+ B(T - 0°C)], The temperature coefficient of resistivity a is based on a reference temperature the material at To where is the resistivity of the material at 0°C. Obtain the value for the coefficient a from this table and then determine the value of the coefficient B for silver. Po (°C)-1 Need Help? Read Itarrow_forwardThe resistivity of gold at room temperature is 2.35 x 10-8 ohm-m. The temperature coefficient alpha = 3.98 x 10-3/K. What will be the resistivity of a piece of gold whose temperature is 150°C above room temperature?arrow_forward
- An 18 gauge copper wire (diameter 1.02 mm) carries a current with a current density of 2.30 x 10° A/m. The density of free electrons for copper is 8.5 x 10 electrons per cubic meter. Part A Calculate the current in the wire. Express your answer with the appropriate units. I= 1,88 A Prevlous Answers v Correct Part B Calculate the magnitude of the drift velocity of electrons in the wire. Express your answer with the appropriate units. ymbols undo redo keyboard shortcuts Help va = 2.30 • 10° Submit Prevlous Answers Request Anawer Provide Feedback O Type here to search 99+ hp 12 13 米 14 IOI t5 esc 24 & 4 8.arrow_forwardA busbar made out of copper has a length of 12 inches. Its surface dimension is 1 cm by 1 cm. If the material has free electron of 10^24 per cubic meter calculate the voltage magnitude in the material when a current of of 0.2 A produces mean time of collisions between electrons of 2.48 x 10 ^-14 seconds. (note: the mass of electron is 9.11 x 10^-31 kg). Your answerarrow_forwardProblem #3 is for Questions #4-5 Problem #3: A copper wire with cross-sectional diameter of 1.13 mm carries a current of 2 A. If the number of electrons per cubic meter is sx 1028, calculate the (a) current density, and (b) drift velocity Question #5: What is the drift velocity? 128 1.56 x 10-4 S 1.14 x 10-4 m 2 21 x 10-¹² O 1.97 x 10-4arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Circuits, Voltage, Resistance, Current - Physics 101 / AP Physics Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=q8X2gcPVwO0;License: Standard YouTube License, CC-BY