Problem 8.14 An infinitely long cylindrical tube, of radius a, moves at constant speed v along its axis. It carries a net charge per unit length λ, uniformly distributed over its surface. Surrounding it, at radius b, is another cylinder, moving with the same velocity but carrying the opposite charge (-λ). Find: (a) The energy per unit length stored in the fields. (b) The momentum per unit length in the fields. (c) The energy per unit time transported by the fields across a plane perpendicular to the cylinders.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter2: Relativity Ii
Section: Chapter Questions
Problem 4P: A charged particle moves along a straight line in a uniform electric field E with a speed v. If the...
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Problem 8.14 An infinitely long cylindrical tube, of radius a, moves at constant
speed v along its axis. It carries a net charge per unit length λ, uniformly distributed
over its surface. Surrounding it, at radius b, is another cylinder, moving with the
same velocity but carrying the opposite charge (-λ). Find:
(a) The energy per unit length stored in the fields.
(b) The momentum per unit length in the fields.
(c) The energy per unit time transported by the fields across a plane perpendicular
to the cylinders.
Transcribed Image Text:Problem 8.14 An infinitely long cylindrical tube, of radius a, moves at constant speed v along its axis. It carries a net charge per unit length λ, uniformly distributed over its surface. Surrounding it, at radius b, is another cylinder, moving with the same velocity but carrying the opposite charge (-λ). Find: (a) The energy per unit length stored in the fields. (b) The momentum per unit length in the fields. (c) The energy per unit time transported by the fields across a plane perpendicular to the cylinders.
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