Electricity & Magnetism

Cyclotron Radius

r = \frac{m v}{q B}

Radius of circular motion of charged particle in magnetic field.

Variables

r

Radius

Radius of circular path

m

m

Mass

Particle mass

kg

v

Velocity

Particle speed

m/s

q

Charge

Particle charge

C

B

Magnetic field

Field strength

T

Derivation

From qvB = mv²/r (Lorentz force = centripetal force), r = mv/(qB).

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