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A Brief Introduction to Space Plasma Physics.pdf - Institute of ...

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• Radius <strong>of</strong> circle ( r c ) - cyclotron radius or Larmor<br />

radius or gyro radius. v = ρ Ω<br />

mv<br />

qB<br />

– The gyro radius is a function <strong>of</strong> energy.<br />

– Energy <strong>of</strong> charged particles is usually given in electron volts<br />

(eV)<br />

– Energy that a particle with the charge <strong>of</strong> an electron gets in<br />

falling through a potential drop <strong>of</strong> 1 Volt- 1 eV = 1.6X10 -19<br />

Joules (J).<br />

• Energies in space plasmas go from electron Volts <strong>to</strong><br />

kiloelectron Volts (1 keV = 10 3 eV) <strong>to</strong> millions <strong>of</strong> electron Volts<br />

(1 meV = 10 6 eV)<br />

• Cosmic ray energies go <strong>to</strong> gigaelectron Volts ( 1 geV = 10 9 eV).<br />

• The circular motion does no work on a particle<br />

r r<br />

F ⋅v<br />

=<br />

r<br />

dv<br />

m<br />

dt<br />

r<br />

⋅v<br />

⊥<br />

ρ<br />

c<br />

=<br />

c<br />

1<br />

d(<br />

2<br />

mv<br />

=<br />

dt<br />

2<br />

⊥<br />

)<br />

c<br />

r r r<br />

= qv ⋅(<br />

v × B)<br />

= 0<br />

Only the electric field can energize particles!

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