The electrons inside a system of two coaxial magnetic mirrors can be described by the loss-cone distribution function given by, 3/2 1 - () - ()-(3-1) = exp a²a² ƒ(v) = where v₁ and v denote the perpendicular and parallel components of the electron velocities with respect to the magnetic bottle axis and a² = 2k³T₁/m₂ and a² = 2k³T||/m₂, respectively. a) Determine the number density of electrons No in the magnetic bottle b) Calculate the average perpendicular and parallel energies.
The electrons inside a system of two coaxial magnetic mirrors can be described by the loss-cone distribution function given by, 3/2 1 - () - ()-(3-1) = exp a²a² ƒ(v) = where v₁ and v denote the perpendicular and parallel components of the electron velocities with respect to the magnetic bottle axis and a² = 2k³T₁/m₂ and a² = 2k³T||/m₂, respectively. a) Determine the number density of electrons No in the magnetic bottle b) Calculate the average perpendicular and parallel energies.
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Transcribed Image Text:The electrons inside a system of two coaxial magnetic mirrors can be described by the loss-cone
distribution function given by,
ƒ(v)
3/2
- (4)
=
1
a²a||
(2) CIP (-4-1)
exp
where v₁ and V|| denote the perpendicular and parallel components of the electron velocities with
respect to the magnetic bottle axis and a² = 2k³T₁/m₂ and a² = 2k³T|/m₂, respectively.
a) Determine the number density of electrons No in the magnetic bottle
b) Calculate the average perpendicular and parallel energies.
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