Electron Plasma to Muon/Proton

[QuarkDecay]

Homework Statement

Cylinder electron gas with density of n_e= 10¹⁰ and radius or r=1cm is inside magnetic field of B=10⁴ Gauss.
If we change the electron gas with
(i) muon gas
(ii) proton gas

does the Drift Velocity change?

Homework Equations

[/B]
Boltzmann equation of density: n=n_oexp(-qΦ/KT)

V_e=cE/B= (solving from Gauss) =2πcqrn/B (drift velocity of electrons)

charge of proton=e= 4.8 x 10^-10 statC
Mass of muon= 207m_e , charge of muon= -e

The Attempt at a Solution

change the charge of electrons to the charges of protons and muons in the V_e equation. But I feel this is wrong because in both (i) and (ii) the V doesn't change because their charges are q_p=e and q_μ= -e.
but why does it also give the Muon mass? Can I use the density equation of ρ=m/V for the muon and the proton? Why is it that we use the Boltzmann density equation for plasma and not the ρ=m/V?

 

[_coyote_]

The muon mass is used to calculate the mass density of the muons, which can then be used to calculate the drift velocity. The Boltzmann equation is used to calculate the electron density, not the mass density. The mass density can be calculated using the equation ρ=m/V, where m is the mass of the particles and V is the volume occupied by the particles.