Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 26, Problem 49CP
A spherical shell with inner radius ra and outer radius rb is formed from a material of resistivity ρ. It carries current radially, with uniform density in all directions. Show that its resistance is
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A block in the shape of a rectangular solid has a crosssectional area of 3.50 cm2 across its width, a front-to-rear length of 15.8 cm, and a resistance of 935 . The block’s material contains 5.33 * 10^22 conduction electrons/m3. A potential difference of 35.8 V is maintained between its front and rear faces. (a) What is the current in the block? (b) If the current density is uniform, what is its magnitude? What are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block?
A cylindrical conducting wire which is
173.67cm long, 45.65mm thick and
resistivity of 7.70.m,
(a) has the resistance of R =
If current | = 25.41A is generated by
flowing of 890 electrons/m³3 via a
conductor, Then the electrons
through this conductor
(b) have a density J =
A/mm2 and
(c) are drifting at a speed of Vp =
m/s?
In a 100-m-long conductor of cylindrical cross-section (radius ro = 5 mm), the axial current density
is J= î2 A/m². The conductivity is o=
5.8.107 S/m. Find
a) the current flowing through the conductor,
b) the voltage across the entire length of the conductor,
c) the overall resistance of the conductor.
Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26.1 - Consider positive and negative charges of equal...Ch. 26.2 - Prob. 26.2QQCh. 26.2 - Prob. 26.3QQCh. 26.4 - When does an incandescent lightbulb carry more...Ch. 26 - Prob. 1PCh. 26 - A small sphere that carries a charge q is whirled...Ch. 26 - In the Bohr model of the hydrogen atom (which will...Ch. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Figure P26.6 represents a section of a conductor...
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
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
- Suppose you have a rod of pure silicon with a diameter of 2.79cm and a length of 20.6cm. These rods are often used in experiments, such as the Large Hadron Collider in France/Switzerland to detect high-energy particles, and they have a very high resistivity of 2300Ω⋅m. What current, in amperes, flows through the rod when a potential difference of 1.23* 10^3 V is applied between its ends ?arrow_forwardAt room temperature, what is the strength of the electric field in a 12 gauge copper wire (diameter 2.05 mm) that is needed to cause a 3.90 A current to flow? Use the resistivity at room temperature for copper ρ = 1.72×10−8 Ω⋅m. Express your answer with the appropriate units. What field would be needed if the wire were made of silver instead? Use the resistivity at room temperature for silver ρ = 1.47×10−8 Ω⋅m. Express your answer with the appropriate units.arrow_forwardA high voltage transmission line of diameter 2.55 cm and length 3.42167 km carries a steady current of 2 x103 A. If the conductor is copper with a free charge density of 7 x 1028 electrons/m3, how long (in seconds ) does it take one electron to travel the full length of the cable? (e = 1.6 x 10−19 C).For this problem use scientific/exponential notation to represent your answer.arrow_forward
- Determine the drift speed if given a cylindrical conductor of radius 1.50 mm with current density 2.50 A/m2 and free-electron density of 8.00×1028 m−3.arrow_forwardConsider a resistor of resistivity 3.96 × 10-8 Ω • m. If an electric field of 12 V/m is applied across the resistor and the electron volume concetration in the conductor is 5.16 × 1028 per m3, determine the drift velocity, in mm/s, of the free electron constituting the current.arrow_forwardA straight, cylindrical wire lying along the x axis has a length of 0.854 m and a diameter of 0.78 mm. It is made of a material described by Ohm's law with a resistivity of ρ = 4.68 ✕ 10−8Ω· m. Assume a potential of 4.18 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.854 m. Find the current density (in A/m2) in the wire.arrow_forward
- An infinite non-uniform cylindrical conductor is made up of different materials that causes the conductor to have different current densities depending on the radius. The overall radius of the conductor is 17.26 meters. For the region where the radius ρ less than 2.63 meters, the current density is 13.43 amperes per square meter. For the region where the radius ρ from 2.63 meters to 6.39 meters, the current density is -27.63 amperes per square meter. Finally, for the region in the conductor where radius ρ is greater than 6.39 meters, the current density is 39.19 amperes per square meter. Find the magnetic field intensity, in ampere-turns per meter, at a distance 13.86 meters from the axis of the conductor.arrow_forwardA straight, cylindrical wire lying along the x axis has a length of 0.376 m and a diameter of 0.68 mm. It is made of a material described by Ohm's law with a resistivity of ρ = 4.86 ✕ 10−8Ω· m. Assume a potential of 4.143 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.376 m. Find the current density (in A/m2) in the wire. Use scientific/exponential notation to represent your answer to this problem. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed.arrow_forwardA block in the shape of a rectangular solid has a cross-sectional area of 3.63 cm² across its width, a front-to-rear length of 19.4 cm, and a resistance of 1240 Q. The block's material contains 6.92 x 1022 conduction electrons/m³. A potential difference of 41.5 V is maintained between its front and rear faces. (a) What is the current in the block? (b) If the current density is uniform, what is its magnitude? What are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Unitsarrow_forward
- Calculate the drift velocity (in ×10-6 m/s) of electrons in a silver cylindrical conductor with a diameter of 2.0 cm carrying 5.0 A current, given there is one free electron per silver atom. ρsilver = 10490 kg/m3 atomic mass of silver = 107.9 g/mol Avogadro's number = 6.02×1023 atoms/molarrow_forwardCalculate the drift velocity (in m/s) of electrons in a 15 gauge silver wire (which has a diameter of 1.449 mm) carrying an 18.4 A current, given that there is one free electron per silver atom. The density of silver is 1.05 ✕ 104 kg/m3. (Indicate the direction with the sign of your answer.) m/sarrow_forwardA block in the shape of a rectangular solid has a cross-sectional area of 2.84 cm² across its width, a front-to-rear length of 19.2 cm, and a resistance of 723 02. The block's material contains 6.04 x 1022 conduction electrons/m³. A potential difference of 28.5 V is maintained between its front and rear faces. (a) What is the current in the block? (b) If the current density is uniform, what is its magnitude? What are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block? (a) Number (b) Number i (c) Number i (d) Number Units Units Units Unitsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction 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 LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege 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