Diferenças entre edições de "Debye shield /spherical conductor"
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Linha 20: | Linha 20: | ||
of the experiment. Assuming eϕ0≪kTe: | of the experiment. Assuming eϕ0≪kTe: | ||
− | + | (a) derive an expression for the potential as a function of \(r$; | |
− | (a)derive an expression for the potential as a function of \(r$; | ||
(b) calculate the charge in the sphere; | (b) calculate the charge in the sphere; | ||
− | (c)calculate the sphere capacity for R=10 cm, Te=1 keV and n0=1014 and 106 cm−3, and show that for | + | (c) calculate the sphere capacity for R=10 cm, Te=1 keV and n0=1014 and 106 cm−3, and show that for |
high electron densities the plasma behaves as a dielectric. | high electron densities the plasma behaves as a dielectric. |
Revisão das 20h44min de 2 de março de 2017
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(F. F. Chen ∼ 1.10) A spherical conductor of radius $R$ is immersed in a plasma and charged to a potential ϕ0. The electrons remain Maxwellian and move to form a Debye shield, but the ions are stationary during the time frame of the experiment. Assuming eϕ0≪kTe:
(a) derive an expression for the potential as a function of \(r$;
(b) calculate the charge in the sphere;
(c) calculate the sphere capacity for R=10 cm, Te=1 keV and n0=1014 and 106 cm−3, and show that for high electron densities the plasma behaves as a dielectric.