6.9 A wire of radius ro is coincident with the axis of a metal cylinder of...
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6.9 A wire of radius ro is coincident with the axis of a metal cylinder of radius R and length L. The wire is maintained at a positive potential V (statvolts) with respect to the cylinder. The whole system is at some high absolute tem- perature T. As a result, electrons emitted from the hot metals form a dilute gas filling the cylindrical container and in equilibrium with it. The density of these electrons is so low that their mutual electrostatic interaction can be neglected. (a) Use Gauss's theorem to obtain an expression for the electrostatic field which exists at points at a radial distance r from the wire (ro <r< R). The cylinder of length L may be assumed very long so that end effects are negligible. (b) In thermal equilibrium, the electrons form a gas of variable density which fills the entire space between the wire and cylinder. Using the result of part (a), find the dependence of the electric charge density on the radial distance r. 6.9 A wire of radius ro is coincident with the axis of a metal cylinder of radius R and length L. The wire is maintained at a positive potential V (statvolts) with respect to the cylinder. The whole system is at some high absolute tem- perature T. As a result, electrons emitted from the hot metals form a dilute gas filling the cylindrical container and in equilibrium with it. The density of these electrons is so low that their mutual electrostatic interaction can be neglected. (a) Use Gauss's theorem to obtain an expression for the electrostatic field which exists at points at a radial distance r from the wire (ro <r< R). The cylinder of length L may be assumed very long so that end effects are negligible. (b) In thermal equilibrium, the electrons form a gas of variable density which fills the entire space between the wire and cylinder. Using the result of part (a), find the dependence of the electric charge density on the radial distance r.
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Based on the image provided you are tasked with solving two problems related to electrostatics and Gausss law within a specific setup a wire of radius r0 inside a cylindrical container of radius R whe... View the full answer
Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
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