Suppose the earth's magnetic field is 3 x 10-T at the equator and falls off as 1/r', as for a perfect dipole. Let there be an isotropic population of 1-eV protons and 30-keV electrons, each with density n = 10' m- at r = 5 earth radii in the equatorial plane.

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Suppose the earth's magnetic field is 3 x 10-5 T at the equator and falls off
as 1/r, as for a perfect dipole. Let there be an isotropic population of 1-eV
protons and 30-keV electrons, each with density n = 10' m-3 atr = 5 earth radii
in the equatorial plane.
(a) Compute the ion and electron VB drift velocities.
(b) Does an electron drift eastward or westward?
(c) How long does it take an electron to encircle the earth?
(d) Compute the ring current density in A/m2.
Note: The curvature drift is not negligible and will affect the numerical answer,
but neglect it anyway.
Transcribed Image Text:Suppose the earth's magnetic field is 3 x 10-5 T at the equator and falls off as 1/r, as for a perfect dipole. Let there be an isotropic population of 1-eV protons and 30-keV electrons, each with density n = 10' m-3 atr = 5 earth radii in the equatorial plane. (a) Compute the ion and electron VB drift velocities. (b) Does an electron drift eastward or westward? (c) How long does it take an electron to encircle the earth? (d) Compute the ring current density in A/m2. Note: The curvature drift is not negligible and will affect the numerical answer, but neglect it anyway.
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