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

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• B acts <strong>to</strong> change the motion <strong>of</strong> a charged particle<br />

only in directions perpendicular <strong>to</strong> the motion.<br />

– Set E = 0, assume B along z-direction.<br />

mv&<br />

mv&<br />

v&&<br />

x<br />

v&&<br />

y<br />

x<br />

y<br />

=<br />

qv<br />

y<br />

= −qv<br />

2<br />

qv&<br />

yB<br />

q vxB<br />

= = −<br />

2<br />

m m<br />

2 2<br />

q vyB<br />

= −<br />

2<br />

m<br />

– Equations <strong>of</strong> circular motion with angular frequency<br />

(cyclotron frequency or gyro frequency<br />

Ω = qB<br />

c<br />

m<br />

– If q is positive particle gyrates in left handed sense<br />

– If q is negative particle gyrates in a right handed sense<br />

B<br />

x<br />

B<br />

2

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