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education/physics/PHYS2220/Magnetism.md
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@@ -12,4 +12,5 @@ For the magnitude of a magnetic force:
$$ |\vec(F_B)| = |q|vB\sin(\theta) $$ $$ |\vec(F_B)| = |q|vB\sin(\theta) $$
For the radius of a particle's circular path: For the radius of a particle's circular path:
$$ r = \frac{mv}{qB} $$For the period of a particle's circular orbit in a uniform magnetic field: $$ r = \frac{mv}{qB} $$For the period of a particle's circular orbit in a uniform magnetic field:
$$ $$ T = \frac{2\pi r}{v} = \frac{2\pi}{v}\frac{mv}{qB} = \frac{2\pi m}{qB} $$
- The period is independent of the particle's speed and orbital radius.