One of the common uses for a coaxial cable is to transmit radio frequencies. One such coaxial cable of length 47.0 m consists of an inner conducting cylinder with a radius of 1.15 mm and an outer conducting cylinder whose inner radius is 3.25 mm. The charges on the inner and outer cylinders are −7.90 µC and +7.90 µC, respectively. (a) Determine the potential difference between the two cylinders along a path from the inner cylinder to the inside edge of the outer cylinder. Use the fact that the magnitude of the electric field at a distance r from the axis of the inner cylinder is given by E = 2kλ/r where k is Coulomb's constant and λ is the linear charge density. (b) If the space between the two cylinders is filled with air, determine the capacitance of the cable.
One of the common uses for a coaxial cable is to transmit radio frequencies. One such coaxial cable of length 47.0 m consists of an inner conducting cylinder with a radius of 1.15 mm and an outer conducting cylinder whose inner radius is 3.25 mm. The charges on the inner and outer cylinders are −7.90 µC and +7.90 µC, respectively. (a) Determine the potential difference between the two cylinders along a path from the inner cylinder to the inside edge of the outer cylinder. Use the fact that the magnitude of the electric field at a distance r from the axis of the inner cylinder is given by E = 2kλ/r where k is Coulomb's constant and λ is the linear charge density. (b) If the space between the two cylinders is filled with air, determine the capacitance of the cable.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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One of the common uses for a coaxial cable is to transmit radio frequencies. One such coaxial cable of length 47.0 m consists of an inner
(a) Determine the potential difference between the two cylinders along a path from the inner cylinder to the inside edge of the outer cylinder. Use the fact that the magnitude of the electric field at a distance r from the axis of the inner cylinder is given by
where k is Coulomb's constant and λ is the linear charge density.
E =
2kλ/r |
(b) If the space between the two cylinders is filled with air, determine the capacitance of the cable.
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