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