Diferenças entre edições de "Debye shield /spherical conductor"

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of the experiment. Assuming eϕ0kTe:
 
of the experiment. Assuming eϕ0kTe:
  
 
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(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 cm3, and show that for  
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(c) calculate the sphere capacity for R=10 cm, Te=1 keV and n0=1014 and 106 cm3, 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 eϕ0kTe:

(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 cm3, and show that for high electron densities the plasma behaves as a dielectric.