Ion and electron drifts (earth's magnetic field)

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Metadata

  • CONTEXTO : Segundo ciclo universitário
  • AREA: Física
  • DISCIPLINA: Física e Tecnologia dos Plasmas
  • ANO: 4
  • LINGUA: en
  • AUTOR: Vasco Guerra
  • MATERIA PRINCIPAL: Single particle motion I
  • DESCRICAO:
  • DIFICULDADE: *
  • TEMPO MEDIO DE RESOLUCAO: 300 [s]
  • TEMPO MAXIMO DE RESOLUCAO: 600 [s]
  • PALAVRAS CHAVE:

(F. F. Chen ~ 2.8) Suppose the earth's magnetic field is \(3\times10^{-5}\) T at the equator and falls off as \(1/r^3\) as in a perfect dipole. Let there be an isotropic population of 1 eV protons and 30 keV electrons, each with density \(n=10^7\) m\(^{-3}\) at \(r=5\) earth radii in the equator plane.

(a) Compute the ion and electron \(\vec{\nabla} B\) drift velocities.

(b) Does an electron drift eastward or westward?

(c) How long does an electron take to encircle the earth?

(d) Compute the current ring density in A/m\(^2\).