Concept explainers
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
Trending nowThis is a popular solution!
Chapter 27 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
- A 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_forwardIn 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.arrow_forwardSuppose 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_forward
- A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x10³ A. If the conductor is copper with a free charge density of 6 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 %3D answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed.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_forwardDetermine 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_forward
- At 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_forwardThe quantity of charge through a conductor is modeled as: q(t)=at4+bt+c --> I(t) = 4 a t^3 + b If a = 5.02C/s4, and b = -4.36C/s, and c = 1.75μC, then what is the current, in amperes, at t=1.45s?arrow_forwardA straight, cylindrical wire lying along the x axis has a length of 0.616 m and a diameter of 0.6 mm. It is made of a material described by Ohm's law with a resistivity of ρ = 4.72 ✕ 10−8Ω· m. Assume a potential of 4.85 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.616 m. Find the current density (in A/m2) in the wire.arrow_forward
- A 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_forwardAn 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 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
- 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