Diferenças entre edições de "Debye shield /spherical conductor"
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| − | (F. F. Chen ∼ 1.10) A spherical conductor of radius | + | (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 | 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: | 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; | ||
Edição atual desde as 01h05min de 20 de janeiro de 2018
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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.