Debye shield /spherical conductor

Metadata

• CONTEXTO : Segundo ciclo universitário
• AREA: Física
• DISCIPLINA: Física e Tecnologia dos Plasmas
• ANO: 4
• LINGUA: en
• AUTOR: Vasco Guerra
• MATERIA PRINCIPAL: Debye shielding and fundamental efects
• DESCRICAO: Number density
• DIFICULDADE: *
• TEMPO MEDIO DE RESOLUCAO: 300 [s]
• TEMPO MAXIMO DE RESOLUCAO: 600 [s]
• PALAVRAS CHAVE: plasma density, number density

(F. F. Chen $\sim$ 1.10) A spherical conductor of radius $R$ is immersed in a plasma and charged to a potential $\phi_0$. The electrons remain Maxwellian and move to form a Debye shield, but the ions are stationary during the time frame of the experiment. Assuming $e\phi_0\ll k T_e$: